From ccfbdc2650b5fe2059ef3d1449ea34b986fe14b6 Mon Sep 17 00:00:00 2001 From: Andrew Rosemberg Date: Fri, 19 Jun 2026 11:07:32 -0400 Subject: [PATCH 01/17] update sddp code --- examples/HydroPowerModels/README.md | 20 +- examples/HydroPowerModels/run_sddp.jl | 120 ----------- .../HydroPowerModels/run_sddp_inconsistent.jl | 114 ---------- examples/HydroPowerModels/sddp/Project.toml | 11 + examples/HydroPowerModels/sddp/run_sddp.jl | 168 +++++++++++++++ .../sddp/run_sddp_inconsistent.jl | 196 ++++++++++++++++++ .../{ => sddp}/simulate_sddp_policy.jl | 8 +- 7 files changed, 393 insertions(+), 244 deletions(-) delete mode 100644 examples/HydroPowerModels/run_sddp.jl delete mode 100644 examples/HydroPowerModels/run_sddp_inconsistent.jl create mode 100644 examples/HydroPowerModels/sddp/Project.toml create mode 100644 examples/HydroPowerModels/sddp/run_sddp.jl create mode 100644 examples/HydroPowerModels/sddp/run_sddp_inconsistent.jl rename examples/HydroPowerModels/{ => sddp}/simulate_sddp_policy.jl (95%) diff --git a/examples/HydroPowerModels/README.md b/examples/HydroPowerModels/README.md index e367d6f..b212da0 100644 --- a/examples/HydroPowerModels/README.md +++ b/examples/HydroPowerModels/README.md @@ -70,14 +70,24 @@ policy relying on slack. ## SDDP baselines -These scripts require [HydroPowerModels.jl](https://github.com/andrewrosemberg/HydroPowerModels.jl), -Gurobi, and Mosek licenses. +These scripts use a dedicated Julia environment in `sddp/`. The inconsistent +SOC-backward/AC-forward baseline uses +[HydroPowerModels.jl](https://github.com/LAMPSPUC/HydroPowerModels.jl), SDDP.jl, +Clarabel for the SOC backward pass, and MadNLP for the AC forward pass. Training +runs log iteration and final simulation metrics to Weights & Biases using the +same keys as the DR runs: `metrics/loss` is the SDDP bound, and +`metrics/rollout_realized_objective_no_deficit` is the SDDP forward-pass +objective. SDDP iterations are logged as `batch` so W&B plots can share the same +x-axis as the DR training runs. Because SDDP solves the forward policy +stage-wise, that forward-pass objective is already the no-target-penalty +objective. | Script | Description | |--------|-------------| -| `run_sddp.jl` | Train SDDP with a consistent convex (SOCWRConic) formulation | -| `run_sddp_inconsistent.jl` | Train SDDP with SOCWRConic backward pass and ACP forward pass | -| `simulate_sddp_policy.jl` | Simulate a pre-trained SDDP policy under ACP and produce comparison plots | +| `sddp/run_sddp.jl` | Train SDDP with a consistent convex (SOCWRConic) formulation | +| `sddp/run_sddp_inconsistent.jl` | Train SDDP with SOCWRConic backward pass and ACP forward pass | +| `sddp/run_sddp_inconsistent.sbatch` | Submit the SOC-backward/AC-forward run with a 12-hour wall time | +| `sddp/simulate_sddp_policy.jl` | Simulate a pre-trained SDDP policy under ACP and produce comparison plots | ## Learning-to-Optimize (L2O) pipeline diff --git a/examples/HydroPowerModels/run_sddp.jl b/examples/HydroPowerModels/run_sddp.jl deleted file mode 100644 index 6a806e2..0000000 --- a/examples/HydroPowerModels/run_sddp.jl +++ /dev/null @@ -1,120 +0,0 @@ -# SDDP baseline: train and simulate SDDP policy on the Bolivia LTHD problem -# using a consistent (convex) formulation for both forward and backward passes. -# Requires HydroPowerModels.jl and a Mosek license. -using Gurobi -using MosekTools -using HydroPowerModels -using JuMP -using Statistics -import SDDP: stopping_rule_status, convergence_test, PolicyGraph, AbstractStoppingRule, Log -using Wandb, Dates, Logging - -using Random -seed = 1221 - -# Load case -case = "bolivia" -case_dir = joinpath(dirname(@__FILE__), case) -alldata = HydroPowerModels.parse_folder(case_dir); -for load in values(alldata[1]["powersystem"]["load"]) - load["qd"] = load["qd"] * 0.6 - load["pd"] = load["pd"] * 0.6 -end -rm_stages = 30 -num_stages = 96 + rm_stages -formulation = SOCWRConicPowerModel - -params = create_param(; - stages=num_stages, - model_constructor_grid=formulation, - post_method=PowerModels.build_opf, - optimizer=Mosek.Optimizer, -); - -m = hydro_thermal_operation(alldata, params); - -# Wandb stopping rule: logs every iteration but never triggers termination -mutable struct WandBLog <: SDDP.AbstractStoppingRule - lg -end - -SDDP.stopping_rule_status(::WandBLog) = :not_solved - -save_file = "SDDP-$(case)-$(formulation)-$(formulation)-h$(num_stages)-$(now())" - -cuts_file = joinpath( - case_dir, string(formulation), string(formulation)*"-"*string(formulation)*".cuts.json" -) - -function SDDP.convergence_test( - policy::SDDP.PolicyGraph, log::Vector{SDDP.Log}, rule::WandBLog -) - SDDP.write_cuts_to_file( - policy, - joinpath( - case_dir, - string(formulation), - string(formulation)*"-"*string(formulation)*".cuts.json", - ), - ) - - Wandb.log( - rule.lg, - Dict( - "iteration" => length(log), - "bound" => log[end].bound, - "metrics/loss" => log[end].simulation_value, - ), - ) - return false -end - -lg = WandbLogger(; project="HydroPowerModels", name=save_file, save_code=false) - -# ## Train -Random.seed!(seed) -start_time = time() -HydroPowerModels.train( - m; - iteration_limit=200, - stopping_rules=[ - WandBLog(lg); SDDP.Statistical(; num_replications=300, iteration_period=50) - ], -); -end_time = time() - start_time - -# Termination Status and solve time (s) -(SDDP.termination_status(m.forward_graph), end_time) - -# save cuts -SDDP.write_cuts_to_file( - m.forward_graph, - joinpath( - case_dir, - string(formulation), - string(formulation)*"-"*string(formulation)*".cuts.json", - ), -) - -# ## Simulation -using Random: Random -Random.seed!(seed) -results = HydroPowerModels.simulate(m, 300); - -# ## Objective -objective_values = [ - sum(results[:simulations][i][t][:stage_objective] for t in 1:(num_stages - rm_stages)) - for i in 1:length(results[:simulations]) -] -println("Mean Sim: ", mean(objective_values)) - -Wandb.log( - lg, - Dict( - "bound" => SDDP.calculate_bound(m.forward_graph), - "metrics/final_loss" => mean(objective_values), - ), -) - -# Finish the run -close(lg) diff --git a/examples/HydroPowerModels/run_sddp_inconsistent.jl b/examples/HydroPowerModels/run_sddp_inconsistent.jl deleted file mode 100644 index de67550..0000000 --- a/examples/HydroPowerModels/run_sddp_inconsistent.jl +++ /dev/null @@ -1,114 +0,0 @@ -# SDDP baseline with inconsistent formulations: train SDDP with a convex -# backward-pass formulation (SOCWRConic) and an AC forward-pass formulation, -# then simulate the resulting policy under the AC model. -# Requires HydroPowerModels.jl, Gurobi, Mosek, and MadNLP. -using Gurobi -using MosekTools -using MadNLP -using HydroPowerModels -using JuMP -using Statistics -import SDDP: stopping_rule_status, convergence_test, PolicyGraph, AbstractStoppingRule, Log -using Wandb, Dates, Logging - -using Random -seed = 1221 - -# Load case -case = "bolivia" -case_dir = joinpath(dirname(@__FILE__), case) -alldata = HydroPowerModels.parse_folder(case_dir); -for load in values(alldata[1]["powersystem"]["load"]) - load["qd"] = load["qd"] * 0.6 - load["pd"] = load["pd"] * 0.6 -end -rm_stages = 30 -num_stages = 96 + rm_stages -formulation_b = SOCWRConicPowerModel -formulation = ACPPowerModel - -# Wandb stopping rule -mutable struct WandBLog <: SDDP.AbstractStoppingRule - lg -end - -SDDP.stopping_rule_status(::WandBLog) = :not_solved - -save_file = "SDDP-$(case)-$(formulation)-$(formulation_b)-h$(num_stages)-$(now())" - -cuts_file = joinpath( - case_dir, - string(formulation), - string(formulation_b)*"-"*string(formulation)*".cuts.json", -) - -function SDDP.convergence_test( - policy::SDDP.PolicyGraph, log::Vector{SDDP.Log}, rule::WandBLog -) - SDDP.write_cuts_to_file(policy, cuts_file) - Wandb.log( - rule.lg, - Dict( - "iteration" => length(log), - "bound" => log[end].bound, - "metrics/loss" => log[end].simulation_value, - ), - ) - return false -end - -lg = WandbLogger(; project="HydroPowerModels", name=save_file, save_code=false) - -# Train: SOCWRConic backward pass, ACP forward pass via MadNLP -Random.seed!(seed) - -params = create_param(; - stages=num_stages, - model_constructor_grid=formulation_b, - model_constructor_grid_forward=formulation, - post_method=PowerModels.build_opf, - optimizer=Mosek.Optimizer, - optimizer_forward=() -> MadNLP.Optimizer(; print_level=MadNLP.INFO), -); - -m = hydro_thermal_operation(alldata, params); - -if isfile(cuts_file) - SDDP.read_cuts_from_file(m.forward_graph, cuts_file) -end - -start_time = time() -HydroPowerModels.train( - m; - iteration_limit=2000, - stopping_rules=[ - WandBLog(lg); SDDP.Statistical(; num_replications=300, iteration_period=200) - ], -); -end_time = time() - start_time - -(SDDP.termination_status(m.forward_graph), end_time) - -SDDP.write_cuts_to_file(m.forward_graph, cuts_file) - -# Simulation -using Random: Random -Random.seed!(seed) -results = HydroPowerModels.simulate(m, 300); - -# Objective -objective_values = [ - sum(results[:simulations][i][t][:stage_objective] for t in 1:(num_stages - rm_stages)) - for i in 1:length(results[:simulations]) -] -println("Mean Sim: ", mean(objective_values)) - -Wandb.log( - lg, - Dict( - "bound" => SDDP.calculate_bound(m.forward_graph), - "metrics/final_loss" => mean(objective_values), - ), -) - -close(lg) diff --git a/examples/HydroPowerModels/sddp/Project.toml b/examples/HydroPowerModels/sddp/Project.toml new file mode 100644 index 0000000..2aac97c --- /dev/null +++ b/examples/HydroPowerModels/sddp/Project.toml @@ -0,0 +1,11 @@ +[deps] +CSV = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b" +Clarabel = "61c947e1-3e6d-4ee4-985a-eec8c727bd6e" +DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" +HydroPowerModels = "1bf2e10f-7293-4f36-bafb-f7584ca75eae" +JuMP = "4076af6c-e467-56ae-b986-b466b2749572" +MadNLP = "2621e9c9-9eb4-46b1-8089-e8c72242dfb6" +Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" +PowerModels = "c36e90e8-916a-50a6-bd94-075b64ef4655" +SDDP = "f4570300-c277-11e8-125c-4912f86ce65d" +Wandb = "ad70616a-06c9-5745-b1f1-6a5f42545108" diff --git a/examples/HydroPowerModels/sddp/run_sddp.jl b/examples/HydroPowerModels/sddp/run_sddp.jl new file mode 100644 index 0000000..6643640 --- /dev/null +++ b/examples/HydroPowerModels/sddp/run_sddp.jl @@ -0,0 +1,168 @@ +# SDDP baseline: train and simulate SDDP policy on the Bolivia LTHD problem +# using a consistent convex SOCWRConic formulation. + +using Clarabel +using HydroPowerModels +using JuMP +using Logging +using PowerModels +using Random +using SDDP +using Statistics +using Wandb, Dates + +const SEED = parse(Int, get(ENV, "DR_SDDP_SEED", "1221")) +const CASE = get(ENV, "DR_SDDP_CASE", "bolivia") +const HYDRO_DIR = dirname(@__DIR__) +const CASE_DIR = joinpath(HYDRO_DIR, CASE) +const RM_STAGES = parse(Int, get(ENV, "DR_SDDP_RM_STAGES", "30")) +const NUM_STAGES = parse(Int, get(ENV, "DR_SDDP_NUM_STAGES", string(96 + RM_STAGES))) +const ITERATION_LIMIT = parse(Int, get(ENV, "DR_SDDP_ITERATION_LIMIT", "200")) +const NUM_SIMULATIONS = parse(Int, get(ENV, "DR_SDDP_SIMULATIONS", "300")) +const STAT_REPLICATIONS = parse(Int, get(ENV, "DR_SDDP_STAT_REPLICATIONS", "300")) +const STAT_PERIOD = parse(Int, get(ENV, "DR_SDDP_STAT_PERIOD", "50")) +const FORMULATION = SOCWRConicPowerModel +const save_file = "SDDP-$(CASE)-$(FORMULATION)-$(FORMULATION)-h$(NUM_STAGES)-$(Dates.now())" +const CUTS_FILE = joinpath( + CASE_DIR, + string(FORMULATION), + string(FORMULATION) * "-" * string(FORMULATION) * ".cuts.json", +) + +function clarabel_optimizer() + return Clarabel.Optimizer(; + verbose=false, + max_iter=parse(Int, get(ENV, "DR_SDDP_CLARABEL_MAX_ITER", "1000")), + tol_gap_abs=parse(Float64, get(ENV, "DR_SDDP_CLARABEL_TOL", "1e-7")), + tol_gap_rel=parse(Float64, get(ENV, "DR_SDDP_CLARABEL_TOL", "1e-7")), + tol_feas=parse(Float64, get(ENV, "DR_SDDP_CLARABEL_TOL", "1e-7")), + ) +end + +mutable struct WandBLog <: SDDP.AbstractStoppingRule + cuts_file::String + lg +end + +SDDP.stopping_rule_status(::WandBLog) = :not_solved + +function SDDP.convergence_test( + policy::SDDP.PolicyGraph, + log::Vector{SDDP.Log}, + rule::WandBLog, +) + mkpath(dirname(rule.cuts_file)) + SDDP.write_cuts_to_file(policy, rule.cuts_file) + latest = log[end] + Wandb.log( + rule.lg, + Dict( + "batch" => length(log), + "metrics/loss" => latest.bound, + "metrics/rollout_realized_objective_no_deficit" => latest.simulation_value, + ), + ) + println( + "iteration=$(length(log)) bound=$(latest.bound) simulation_value=$(latest.simulation_value)", + ) + flush(stdout) + return false +end + +function load_case_data() + alldata = HydroPowerModels.parse_folder(CASE_DIR) + for load in values(alldata[1]["powersystem"]["load"]) + load["qd"] *= 0.6 + load["pd"] *= 0.6 + end + return alldata +end + +function main() + println("Run: ", save_file) + println("Case directory: ", CASE_DIR) + println("Formulation: ", FORMULATION, " with Clarabel") + + Random.seed!(SEED) + mkpath(dirname(CUTS_FILE)) + alldata = load_case_data() + lg = WandbLogger(; + project="RL", + name=save_file, + save_code=false, + config=Dict( + "case_name" => CASE, + "training_method" => "sddp_consistent", + "formulation" => string(FORMULATION), + "solver" => "Clarabel", + "num_stages" => NUM_STAGES, + "rm_stages" => RM_STAGES, + "iteration_limit" => ITERATION_LIMIT, + "num_simulations" => NUM_SIMULATIONS, + "stat_replications" => STAT_REPLICATIONS, + "stat_period" => STAT_PERIOD, + "seed" => SEED, + ), + ) + params = create_param(; + stages=NUM_STAGES, + model_constructor_grid=FORMULATION, + post_method=PowerModels.build_opf, + optimizer=clarabel_optimizer, + ) + model = hydro_thermal_operation(alldata, params) + + if isfile(CUTS_FILE) + println("Loading existing cuts: ", CUTS_FILE) + SDDP.read_cuts_from_file(model.forward_graph, CUTS_FILE) + end + + stopping_rules = SDDP.AbstractStoppingRule[WandBLog(CUTS_FILE, lg)] + if STAT_REPLICATIONS > 0 + push!( + stopping_rules, + SDDP.Statistical(; + num_replications=STAT_REPLICATIONS, + iteration_period=STAT_PERIOD, + ), + ) + end + + start_time = time() + HydroPowerModels.train( + model; + iteration_limit=ITERATION_LIMIT, + stopping_rules=stopping_rules, + ) + elapsed = time() - start_time + bound = SDDP.calculate_bound(model.forward_graph) + println("Termination status: ", SDDP.termination_status(model.forward_graph)) + println("Elapsed seconds: ", elapsed) + println("Bound: ", bound) + + SDDP.write_cuts_to_file(model.forward_graph, CUTS_FILE) + println("Saved cuts: ", CUTS_FILE) + + Random.seed!(SEED) + results = HydroPowerModels.simulate(model, NUM_SIMULATIONS) + objective_values = [ + sum(results[:simulations][i][t][:stage_objective] for t in 1:(NUM_STAGES - RM_STAGES)) + for i in 1:length(results[:simulations]) + ] + final_loss = mean(objective_values) + println("Mean Sim: ", final_loss) + Wandb.log( + lg, + Dict( + "batch" => ITERATION_LIMIT, + "metrics/loss" => bound, + "metrics/final_loss" => final_loss, + "metrics/rollout_realized_objective_no_deficit" => final_loss, + "metrics/final_rollout_realized_objective_no_deficit" => final_loss, + "metrics/elapsed_seconds" => elapsed, + ), + ) + close(lg) +end + +main() diff --git a/examples/HydroPowerModels/sddp/run_sddp_inconsistent.jl b/examples/HydroPowerModels/sddp/run_sddp_inconsistent.jl new file mode 100644 index 0000000..0035912 --- /dev/null +++ b/examples/HydroPowerModels/sddp/run_sddp_inconsistent.jl @@ -0,0 +1,196 @@ +# SDDP baseline with inconsistent formulations: train SDDP with a convex +# SOCWRConic backward-pass formulation and an AC forward-pass formulation, +# then simulate the resulting policy under the AC model. +# +# Environment overrides for local smoke tests: +# DR_SDDP_ITERATION_LIMIT=2 +# DR_SDDP_SIMULATIONS=2 +# DR_SDDP_STAT_REPLICATIONS=2 +# DR_SDDP_STAT_PERIOD=1 + +using Clarabel +using HydroPowerModels +using JuMP +using Logging +using MadNLP +using PowerModels +using Random +using SDDP +using Statistics +using Wandb, Dates + +const SEED = parse(Int, get(ENV, "DR_SDDP_SEED", "1221")) +const CASE = get(ENV, "DR_SDDP_CASE", "bolivia") +const HYDRO_DIR = dirname(@__DIR__) +const CASE_DIR = joinpath(HYDRO_DIR, CASE) +const RM_STAGES = parse(Int, get(ENV, "DR_SDDP_RM_STAGES", "30")) +const NUM_STAGES = parse(Int, get(ENV, "DR_SDDP_NUM_STAGES", string(96 + RM_STAGES))) +const ITERATION_LIMIT = parse(Int, get(ENV, "DR_SDDP_ITERATION_LIMIT", "2000")) +const NUM_SIMULATIONS = parse(Int, get(ENV, "DR_SDDP_SIMULATIONS", "300")) +const STAT_REPLICATIONS = parse(Int, get(ENV, "DR_SDDP_STAT_REPLICATIONS", "300")) +const STAT_PERIOD = parse(Int, get(ENV, "DR_SDDP_STAT_PERIOD", "200")) + +const FORMULATION_BACKWARD = SOCWRConicPowerModel +const FORMULATION_FORWARD = ACPPowerModel +const save_file = "SDDP-$(CASE)-$(FORMULATION_FORWARD)-$(FORMULATION_BACKWARD)-h$(NUM_STAGES)-$(Dates.now())" +const CUTS_DIR = joinpath(CASE_DIR, string(FORMULATION_FORWARD)) +const CUTS_FILE = joinpath( + CUTS_DIR, + string(FORMULATION_BACKWARD) * "-" * string(FORMULATION_FORWARD) * ".cuts.json", +) + +function clarabel_optimizer() + return Clarabel.Optimizer(; + verbose=false, + max_iter=parse(Int, get(ENV, "DR_SDDP_CLARABEL_MAX_ITER", "1000")), + tol_gap_abs=parse(Float64, get(ENV, "DR_SDDP_CLARABEL_TOL", "1e-7")), + tol_gap_rel=parse(Float64, get(ENV, "DR_SDDP_CLARABEL_TOL", "1e-7")), + tol_feas=parse(Float64, get(ENV, "DR_SDDP_CLARABEL_TOL", "1e-7")), + ) +end + +function madnlp_optimizer() + return MadNLP.Optimizer(; + print_level=parse(Int, get(ENV, "DR_SDDP_MADNLP_PRINT_LEVEL", "0")), + ) +end + +mutable struct WandBLog <: SDDP.AbstractStoppingRule + cuts_file::String + lg +end + +SDDP.stopping_rule_status(::WandBLog) = :not_solved + +function SDDP.convergence_test( + policy::SDDP.PolicyGraph, + log::Vector{SDDP.Log}, + rule::WandBLog, +) + mkpath(dirname(rule.cuts_file)) + SDDP.write_cuts_to_file(policy, rule.cuts_file) + latest = log[end] + Wandb.log( + rule.lg, + Dict( + "batch" => length(log), + "metrics/loss" => latest.bound, + "metrics/rollout_realized_objective_no_deficit" => latest.simulation_value, + ), + ) + println( + "iteration=$(length(log)) bound=$(latest.bound) simulation_value=$(latest.simulation_value)", + ) + flush(stdout) + return false +end + +function load_case_data() + alldata = HydroPowerModels.parse_folder(CASE_DIR) + for load in values(alldata[1]["powersystem"]["load"]) + load["qd"] *= 0.6 + load["pd"] *= 0.6 + end + return alldata +end + +function main() + println("Run: ", save_file) + println("Case directory: ", CASE_DIR) + println("Stages: ", NUM_STAGES, " (reporting first ", NUM_STAGES - RM_STAGES, ")") + println("Backward formulation: ", FORMULATION_BACKWARD, " with Clarabel") + println("Forward formulation: ", FORMULATION_FORWARD, " with MadNLP") + println("Iteration limit: ", ITERATION_LIMIT) + println("Simulations: ", NUM_SIMULATIONS) + + Random.seed!(SEED) + mkpath(CUTS_DIR) + alldata = load_case_data() + lg = WandbLogger(; + project="RL", + name=save_file, + save_code=false, + config=Dict( + "case_name" => CASE, + "training_method" => "sddp_inconsistent", + "backward_formulation" => string(FORMULATION_BACKWARD), + "forward_formulation" => string(FORMULATION_FORWARD), + "backward_solver" => "Clarabel", + "forward_solver" => "MadNLP", + "num_stages" => NUM_STAGES, + "rm_stages" => RM_STAGES, + "iteration_limit" => ITERATION_LIMIT, + "num_simulations" => NUM_SIMULATIONS, + "stat_replications" => STAT_REPLICATIONS, + "stat_period" => STAT_PERIOD, + "seed" => SEED, + ), + ) + + params = create_param(; + stages=NUM_STAGES, + model_constructor_grid=FORMULATION_BACKWARD, + model_constructor_grid_forward=FORMULATION_FORWARD, + post_method=PowerModels.build_opf, + optimizer=clarabel_optimizer, + optimizer_forward=madnlp_optimizer, + ) + + model = hydro_thermal_operation(alldata, params) + + if isfile(CUTS_FILE) + println("Loading existing cuts: ", CUTS_FILE) + SDDP.read_cuts_from_file(model.forward_graph, CUTS_FILE) + end + + stopping_rules = SDDP.AbstractStoppingRule[WandBLog(CUTS_FILE, lg)] + if STAT_REPLICATIONS > 0 + push!( + stopping_rules, + SDDP.Statistical(; + num_replications=STAT_REPLICATIONS, + iteration_period=STAT_PERIOD, + ), + ) + end + + start_time = time() + HydroPowerModels.train( + model; + iteration_limit=ITERATION_LIMIT, + stopping_rules=stopping_rules, + ) + elapsed = time() - start_time + + status = SDDP.termination_status(model.forward_graph) + bound = SDDP.calculate_bound(model.forward_graph) + println("Termination status: ", status) + println("Elapsed seconds: ", elapsed) + println("Bound: ", bound) + + SDDP.write_cuts_to_file(model.forward_graph, CUTS_FILE) + println("Saved cuts: ", CUTS_FILE) + + Random.seed!(SEED) + results = HydroPowerModels.simulate(model, NUM_SIMULATIONS) + objective_values = [ + sum(results[:simulations][i][t][:stage_objective] for t in 1:(NUM_STAGES - RM_STAGES)) + for i in 1:length(results[:simulations]) + ] + final_loss = mean(objective_values) + println("Mean Sim: ", final_loss) + Wandb.log( + lg, + Dict( + "batch" => ITERATION_LIMIT, + "metrics/loss" => bound, + "metrics/final_loss" => final_loss, + "metrics/rollout_realized_objective_no_deficit" => final_loss, + "metrics/final_rollout_realized_objective_no_deficit" => final_loss, + "metrics/elapsed_seconds" => elapsed, + ), + ) + close(lg) +end + +main() diff --git a/examples/HydroPowerModels/simulate_sddp_policy.jl b/examples/HydroPowerModels/sddp/simulate_sddp_policy.jl similarity index 95% rename from examples/HydroPowerModels/simulate_sddp_policy.jl rename to examples/HydroPowerModels/sddp/simulate_sddp_policy.jl index 76f8aca..820624e 100644 --- a/examples/HydroPowerModels/simulate_sddp_policy.jl +++ b/examples/HydroPowerModels/sddp/simulate_sddp_policy.jl @@ -1,20 +1,18 @@ # Simulate a pre-trained SDDP policy (cuts from run_sddp_inconsistent.jl) under # the ACP formulation and produce comparison plots/CSVs against TS-DDR baselines. -# Requires HydroPowerModels.jl, MadNLP, Gurobi, Mosek. -using MosekTools using MadNLP using HydroPowerModels using JuMP +using PowerModels using Statistics using SDDP: SDDP -using Gurobi using Random seed = 1221 # Load case case = "bolivia" -case_dir = joinpath(dirname(@__FILE__), case) +case_dir = joinpath(dirname(@__DIR__), case) alldata = HydroPowerModels.parse_folder(case_dir); for load in values(alldata[1]["powersystem"]["load"]) load["qd"] = load["qd"] * 0.6 @@ -29,7 +27,7 @@ params = create_param(; stages=num_stages, model_constructor_grid=formulation, post_method=PowerModels.build_opf, - optimizer=() -> MadNLP.Optimizer(; print_level=MadNLP.INFO), + optimizer=() -> MadNLP.Optimizer(; print_level=0), ); m = hydro_thermal_operation(alldata, params); From 2b10977da4af5e539aebc5f505c3117906576024 Mon Sep 17 00:00:00 2001 From: Andrew Rosemberg Date: Fri, 19 Jun 2026 12:43:17 -0400 Subject: [PATCH 02/17] update inventory --- .gitignore | 1 + docs/src/assets/inventory_integer_results.png | Bin 224904 -> 228089 bytes docs/src/assets/inventory_relaxed_results.png | Bin 211431 -> 214193 bytes docs/src/examples/inventory.jl | 48 ++++++---- examples/inventory_control/README.md | 7 +- examples/inventory_control/compare_results.jl | 30 +++--- examples/inventory_control/solve_sddp.jl | 90 +++++++++++++++--- 7 files changed, 129 insertions(+), 47 deletions(-) diff --git a/.gitignore b/.gitignore index 67fda7c..d69c144 100644 --- a/.gitignore +++ b/.gitignore @@ -52,3 +52,4 @@ examples/**/.CondaPkg/* *.tsv *.pdf plan.md +*_cuts.json diff --git a/docs/src/assets/inventory_integer_results.png b/docs/src/assets/inventory_integer_results.png index e905f7a316a92abd34db0bca8c25be94e1c82aa6..d2816366b899f7edf0b7cd0f9512bbb1e1ce6c1c 100644 GIT binary patch literal 228089 zcmc$`cR1GV|37{;DUqyXlvPwnw(OCW6+%WTWkqCf4JDLW_RbbEQdXKqnOTvM$d*lH zd>>c$=kxvl_s8$}Uhm^R-reqSzRvM{KGyjP(9%#M-^;LE-C@W|a2s_mXgdHrT z+wqms`O9+nzui~QDJc-Pi2qBj%8VcoSO_W#vbt{ZQ+=*7G)e;`vt{BQPlLCARd|ug 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ze=WAlIu|e84bg@g51r%VcxMhC|MyRy=&xT#0f;3f!KK?KX;+IU2pja<&=95zK&l=9 zV%A7Ijhq6z;K-HrYc_0%ZT^B-0wRgD?f8W32n#iopW^%)XdOBecpB=g9;OtLC2{}O z$*^W*zHlhQ&RWUDgpgwCv4xcxM1axB3fKq@Ig>ty;+}646QC-HU9OIfs|e=9ElKj8 zFhSs4jsi6Lv>yVa6yjh-Rc?l@cj&?N>gUg%Il$|Ri^Hj#STOwNc!`0>E-@Fxqttdm zqhM1vL`?;1lN9|Yyu7`6D9#4OR;yS`_*RZw{DW}dC9G-t1Hu2m!T$sBLnQov@uRnw anKqo!d(853u?go_2u*c8wR}~(u>S$M&On?1 diff --git a/docs/src/examples/inventory.jl b/docs/src/examples/inventory.jl index efb3606..269d50f 100644 --- a/docs/src/examples/inventory.jl +++ b/docs/src/examples/inventory.jl @@ -128,7 +128,7 @@ using Statistics, Random # | Method | N | Mean cost | Std | 95% CI | vs TS-DDR | Fit (s) | Eval (s) | # |:-------------------------|----:|----------:|------:|-------:|----------:|--------:|---------:| # | TS-DDR (trained) | 300 | 2667.3 | 594.5 | 67.3 | +0.0% | 54.6 | 0.0018 | -# | SDDP (PAR) | 300 | 2434.2 | 774.8 | 87.7 | -8.7% | 0.0 | 20.6455 | +# | SDDP (PAR) | 300 | 2434.2 | 774.8 | 87.7 | -8.7% | 0.0 | 37.4613 | # | Base-stock (S\*=160) | 300 | 3035.6 | 506.8 | 57.3 | +13.8% | 0.0 | 0.0002 | # | Random (untrained) | 300 | 3751.7 | 221.7 | 25.1 | +40.7% | 0.0 | 0.0018 | # @@ -139,33 +139,43 @@ using Statistics, Random # ## Integer (MIP) Problem # # Introducing the binary ``z_t`` and fixed cost ``K=500`` changes the -# landscape. SDDP can only use LP relaxation for training (``z \in [0,1]``), -# which systematically underestimates ``K``: when the LP says ``z=0.3``, -# ``q=20``, the relaxed cost is ``0.3 \times 500 + 2 \times 20 = 190``, but -# the true integer cost with ``z=1`` is ``500 + 40 = 540``. -# -# TS-DDR with `FixedDiscreteIntegerStrategy` handles this correctly: it -# solves the full MIP, fixes the binary incumbent, and reads LP duals in -# that integer-consistent state. +# landscape. Standard SDDP uses LP relaxation for both training and rollout +# (``z \in [0,1]``), which systematically underestimates ``K``: when the LP +# says ``z=0.3``, ``q=20``, the relaxed cost is +# ``0.3 \times 500 + 2 \times 20 = 190``, but the true integer cost with +# ``z=1`` is ``500 + 40 = 540``. +# +# Using SDDP.jl's `AlternativeForwardPass`, we can do much better: the +# forward pass solves true MIP subproblems (``z \in \{0,1\}``), generating +# trial points where the binary decisions actually live, while the backward +# pass uses LP relaxation to compute cuts with valid duals. The MIP rollout +# then makes honest binary ordering decisions using those cuts as the value +# function approximation. # # ![Integer results](../assets/inventory_integer_results.png) # # | Method | N | Mean cost | Std | 95% CI | vs TS-DDR (FD) | Fit (s) | Eval (s) | # |:-------------------------|----:|----------:|------:|-------:|---------------:|--------:|---------:| # | TS-DDR (FixedDiscrete) | 300 | 8015.8 | 719.5 | 81.4 | +0.0% | 339.2 | 0.0112 | -# | TS-DDR (ContRelax) | 300 | 8318.1 | 720.0 | 81.5 | +3.8% | 109.4 | 0.0117 | -# | SDDP integer rollout | 300 | 8274.2 | 912.5 | 103.3 | +3.2% | 0.0 | 7.9088 | +# | TS-DDR (ContRelax) | 300 | 8318.1 | 720.0 | 81.5 | +3.8% | 111.0 | 0.0117 | +# | SDDP (MIP fwd) | 300 | 5871.6 | 1087.4 | 123.1 | -26.7% | 0.0 | 159.9310 | +# | SDDP (LP relax) | 300 | 8274.2 | 912.5 | 103.3 | +3.2% | 0.0 | 18.5475 | # | Base-stock (S\*=160) | 300 | 9035.6 | 506.8 | 57.3 | +12.7% | 0.0 | 0.0000 | # | Random (untrained) | 300 | 9594.6 | 361.1 | 40.9 | +19.7% | 0.0 | 0.0120 | # -# `FixedDiscreteIntegerStrategy` achieves the lowest cost (8016), beating both -# SDDP (8274, +3.2%) and `ContinuousRelaxationIntegerStrategy` (8318, +3.8%). -# The continuous relaxation strategy performs similarly to SDDP — both use LP -# relaxation and both underestimate the fixed ordering cost. -# -# `ContinuousRelaxationIntegerStrategy` trains 3× faster (109s vs 339s) -# because it only solves LPs, but the resulting policy is less accurate on -# integer-constrained problems. +# `SDDP (MIP fwd)` using `AlternativeForwardPass` achieves the lowest cost +# (5872), **26.7% below** TS-DDR (8016). The key insight is that the MIP +# rollout forces honest binary ordering decisions (order a full batch or +# nothing), while the default LP relaxation rollout makes decisions with +# artificially cheap fractional ``z``, then pays the full fixed cost after +# integer rounding — this explains the large gap between SDDP (LP relax) +# at 8274 and SDDP (MIP fwd) at 5872. +# +# TS-DDR with `FixedDiscreteIntegerStrategy` (8016) still outperforms the +# default SDDP LP relaxation approach (8274) and +# `ContinuousRelaxationIntegerStrategy` (8318), but cannot match the +# `AlternativeForwardPass` approach which benefits from SDDP's dynamic +# programming cuts evaluated in a true MIP context. # ## Runnable Scripts # diff --git a/examples/inventory_control/README.md b/examples/inventory_control/README.md index c6e3132..ae65663 100644 --- a/examples/inventory_control/README.md +++ b/examples/inventory_control/README.md @@ -105,11 +105,14 @@ Figures are written to `docs/src/assets/`: - **TS-DDR** learns an ex-ante order target from inventory and demand history, using the same time-invariant neural policy at every period. - **SDDP** uses a PAR(1) demand approximation in a 24-stage order/demand graph. - For the integer case, it uses LP relaxation with integer rounding at rollout. + For the integer case, it uses `AlternativeForwardPass`: the forward pass solves + true MIP subproblems (`z ∈ {0,1}`), while the backward pass uses LP relaxation + (`z ∈ [0,1]`) to compute cuts with valid duals. - **Base-stock** is a tuned constant order-up-to policy. - **Random** is an untrained ex-ante neural policy. The expected qualitative result is: - **Relaxed**: SDDP dominates (near-optimal for convex problems with Markov noise). - **Integer**: TS-DDR dominates (handles MIP subproblems natively via integer - postprocessing strategies, while SDDP's LP relaxation underestimates fixed costs). + postprocessing strategies, while SDDP with `AlternativeForwardPass` generates + cuts at MIP-realistic trial points but still relies on LP duals for cuts). diff --git a/examples/inventory_control/compare_results.jl b/examples/inventory_control/compare_results.jl index 1251e43..552a46a 100644 --- a/examples/inventory_control/compare_results.jl +++ b/examples/inventory_control/compare_results.jl @@ -24,7 +24,7 @@ end function load_timing(tags) dfs = DataFrame[] for tag in tags - for f in ["dr_timing", "sddp_timing", "baseline_timing"] + for f in ["dr_timing", "sddp_timing", "sddp_lp_timing", "baseline_timing"] path = joinpath(result_dir, "$(tag)_$(f).csv") isfile(path) && push!(dfs, CSV.read(path, DataFrame)) end @@ -105,22 +105,27 @@ function make_plots(tag, entries, S_star, title_suffix; sddp_tag=tag, dr_tag=tag "TS-DDR (ContRelax)" => "TS-DDR\n(ContRelax)", "TS-DDR (trained)" => "TS-DDR", "SDDP (PAR)" => "SDDP", - "SDDP.jl integer rollout" => "SDDP", + "SDDP (MIP fwd)" => "SDDP\n(MIP fwd)", + "SDDP (LP relax)" => "SDDP\n(LP relax)", "Random (untrained)" => "Random") short_labels = [startswith(l, "Base-stock") ? "Base-stock\n(S*=$(round(Int,S_star)))" : l for l in short_labels] data = [e[2] for e in entries] n_methods = length(entries) - colors = if n_methods == 4 - [:gold :darkgreen :steelblue :gray] + method_colors = if n_methods == 4 + [:steelblue, :darkgreen, :gold, :gray] elseif n_methods == 5 - [:gold :royalblue :darkgreen :steelblue :gray] + [:steelblue, :royalblue, :darkgreen, :gold, :gray] + elseif n_methods == 6 + [:steelblue, :royalblue, :darkgreen, :seagreen, :gold, :gray] else - palette(:auto, n_methods)' + palette(:auto, n_methods) + end + p4 = plot(; xlabel="Method", ylabel="Operational cost", + title="Cost comparison", legend=false) + for i in 1:n_methods + violin!(p4, fill(short_labels[i], length(data[i])), data[i]; + fillcolor=method_colors[i], linecolor=:black, fillalpha=0.7) end - p4 = boxplot(short_labels, data; - xlabel="Method", ylabel="Operational cost", - title="Cost comparison", legend=false, - fillcolor=colors, linecolor=:black) layout = @layout [a b; c d] combined = plot(p1, p2, p3, p4; layout=layout, size=(1100, 800), @@ -182,6 +187,7 @@ println("=" ^ 60) i_dr = load_costs("integer", "dr") i_dr_cr = load_costs("integer_cr", "dr") i_sddp = load_costs("integer", "sddp") +i_sddp_lp = load_costs("integer", "sddp_lp") i_bs = load_costs("integer", "basestock") i_rand = load_costs("integer", "random") i_timing = load_timing(["integer", "integer_cr"]) @@ -191,7 +197,8 @@ i_bound = parse(Float64, strip(read(joinpath(result_dir, "integer_sddp_bound.txt i_entries = [ ("TS-DDR (FixedDiscrete)", i_dr), ("TS-DDR (ContRelax)", i_dr_cr), - ("SDDP.jl integer rollout", i_sddp), + ("SDDP (MIP fwd)", i_sddp), + ("SDDP (LP relax)", i_sddp_lp), ("Base-stock (S*=$(round(Int, i_S)))", i_bs), ("Random (untrained)", i_rand), ] @@ -199,6 +206,7 @@ print_table(i_entries, i_timing, i_bound) plt_integer = make_plots("integer", i_entries, i_S, "Integer (MIP) problem"; sddp_tag="integer", dr_tag="integer") +println(" SDDP (LP relax) vs SDDP (MIP fwd): LP=$(round(mean(i_sddp_lp),digits=1)), MIP=$(round(mean(i_sddp),digits=1))") savefig(plt_integer, joinpath(docs_dir, "inventory_integer_results.png")) println("Saved inventory_integer_results.png") diff --git a/examples/inventory_control/solve_sddp.jl b/examples/inventory_control/solve_sddp.jl index 3760612..81027f5 100644 --- a/examples/inventory_control/solve_sddp.jl +++ b/examples/inventory_control/solve_sddp.jl @@ -7,7 +7,9 @@ where μ_t, α, and Ω are fitted from simulated demand paths. Two cases: 1. Relaxed: no binary z, SDDP is near-optimal for convex problems -2. Integer: z ∈ [0,1] relaxation + integer rounding at rollout +2. Integer: AlternativeForwardPass — forward pass solves true MIP (z ∈ {0,1}), + backward pass uses LP relaxation (z ∈ [0,1]) to compute cuts with valid duals. + Both models share the same PAR(1) demand structure. """ using SDDP @@ -66,7 +68,8 @@ println(" Ω (innovations, $(length(par_omega)) points): $(round.(par_omega, di # ═══════════════════════════════════════════════════════════════════════════════ # Build SDDP model with PAR(1) demand approximation # ═══════════════════════════════════════════════════════════════════════════════ -function build_sddp_model(; integer::Bool=false, mu=par_mu, alpha=par_alpha, omega=par_omega) +function build_sddp_model(; integer::Bool=false, binary::Bool=false, + mu=par_mu, alpha=par_alpha, omega=par_omega) d_lag_init = mu[1] SDDP.LinearPolicyGraph( stages=2 * INVENTORY_T, @@ -81,7 +84,11 @@ function build_sddp_model(; integer::Bool=false, mu=par_mu, alpha=par_alpha, ome if isodd(stage) @variable(sp, 0 <= q <= INVENTORY_Q_MAX) if integer - @variable(sp, 0 <= z <= 1) + if binary + @variable(sp, z, Bin) + else + @variable(sp, 0 <= z <= 1) + end @constraint(sp, q <= INVENTORY_Q_MAX * z) @stageobjective(sp, INVENTORY_K * z + INVENTORY_C * q) else @@ -219,44 +226,97 @@ open(joinpath(result_dir, "relaxed_sddp_bound.txt"), "w") do io end # ═══════════════════════════════════════════════════════════════════════════════ -# Section 2: Integer SDDP (LP relaxation + integer rounding rollout) +# Section 2: Integer SDDP (MIP forward pass + LP cuts via AlternativeForwardPass) +# +# Two-phase training: +# Phase 1 — LP forward + LP backward until convergence (warm-start cuts) +# Phase 2 — MIP forward + LP backward (refine at MIP-realistic trial points) +# Rollout on true MIP model (z ∈ {0,1}) with all accumulated cuts. # ═══════════════════════════════════════════════════════════════════════════════ println("\n" * "=" ^ 60) -println("SECTION 2: SDDP — Integer (LP relax + integer rollout)") +println("SECTION 2: SDDP — Integer (MIP forward + LP cuts)") println("=" ^ 60) -model_integer = build_sddp_model(; integer=true) -println("Training integer-relaxed SDDP ($(2*INVENTORY_T) stages)...") +model_lp = build_sddp_model(; integer=true, binary=false) +model_mip = build_sddp_model(; integer=true, binary=true) + +# --- Phase 1: LP warm-start --- +println("Phase 1: LP warm-start ($(2*INVENTORY_T) stages)...") sddp_int_start = time() SDDP.train( - model_integer; + model_lp; duality_handler=SDDP.ContinuousConicDuality(), iteration_limit=ITERATION_LIMIT, stopping_rules=[SDDP.BoundStalling(100, 1e-3)], print_level=1, ) +lp_bound = SDDP.calculate_bound(model_lp) +println(" LP warm-start bound: $(round(lp_bound, digits=1))") + +phase1_log = training_log_dataframe(model_lp) +sddp_lp_seconds = time() - sddp_int_start + +# --- LP rollout (default SDDP baseline: LP decisions + integer rounding) --- +println("LP rollout (default SDDP) on $N_SIM fresh scenarios...") +Random.seed!(555) +lp_eval_start = time() +lp_costs, lp_traj = rollout_sddp(model_lp, N_SIM; integer_round=true) +lp_eval_seconds = time() - lp_eval_start +μ_lp = mean(lp_costs) +println(" Default SDDP (LP rollout) — mean: $(round(μ_lp, digits=1)) ± $(round(std(lp_costs), digits=1))") + +CSV.write(joinpath(result_dir, "integer_sddp_lp_costs.csv"), DataFrame(operational_cost=lp_costs)) +CSV.write(joinpath(result_dir, "integer_sddp_lp_trajectories.csv"), + DataFrame(lp_traj, [Symbol("t$i") for i in 0:INVENTORY_T])) +CSV.write(joinpath(result_dir, "integer_sddp_lp_training_log.csv"), phase1_log) +CSV.write(joinpath(result_dir, "integer_sddp_lp_timing.csv"), + DataFrame(method=["SDDP (LP relax)"], fit_seconds=[0.0], + eval_seconds=[sddp_lp_seconds], n_eval=[N_SIM])) + +cuts_file = joinpath(result_dir, "integer_lp_cuts.json") +SDDP.write_cuts_to_file(model_lp, cuts_file) +SDDP.read_cuts_from_file(model_mip, cuts_file) +println(" Exported LP cuts to MIP model") + +# --- Phase 2: MIP forward + LP backward --- +println("\nPhase 2: AlternativeForwardPass — MIP forward + LP cuts...") +println(" Forward pass: true MIP (z ∈ {0,1})") +println(" Backward pass: LP relaxation (z ∈ [0,1]) for cuts") +SDDP.train( + model_lp; + forward_pass=SDDP.AlternativeForwardPass(model_mip), + post_iteration_callback=SDDP.AlternativePostIterationCallback(model_mip), + duality_handler=SDDP.ContinuousConicDuality(), + iteration_limit=ITERATION_LIMIT, + add_to_existing_cuts=true, + print_level=1, +) sddp_int_seconds = time() - sddp_int_start -int_bound = SDDP.calculate_bound(model_integer) -println("\nInteger-relaxed SDDP bound: $(round(int_bound, digits=1))") +phase2_log = training_log_dataframe(model_lp) +phase2_log.iteration .+= maximum(phase1_log.iteration) +combined_log = vcat(phase1_log, phase2_log) + +int_bound = SDDP.calculate_bound(model_lp) +println("\nLP relaxation bound (after both phases): $(round(int_bound, digits=1))") -println("Integer rollout on $N_SIM fresh scenarios (TRUE demand)...") +println("MIP rollout on $N_SIM fresh scenarios (TRUE demand)...") Random.seed!(555) int_eval_start = time() -int_costs, int_traj = rollout_sddp(model_integer, N_SIM; integer_round=true) +int_costs, int_traj = rollout_sddp(model_mip, N_SIM; integer_round=true) int_eval_seconds = time() - int_eval_start μ_i = mean(int_costs) σ_i = std(int_costs) -println("Integer SDDP — mean: $(round(μ_i, digits=1)) ± $(round(σ_i, digits=1))") +println("Integer SDDP (MIP fwd) — mean: $(round(μ_i, digits=1)) ± $(round(σ_i, digits=1))") println("Gap to LP bound: $(round(100 * (μ_i - int_bound) / μ_i, digits=1))%") CSV.write(joinpath(result_dir, "integer_sddp_costs.csv"), DataFrame(operational_cost=int_costs)) CSV.write(joinpath(result_dir, "integer_sddp_trajectories.csv"), DataFrame(int_traj, [Symbol("t$i") for i in 0:INVENTORY_T])) -CSV.write(joinpath(result_dir, "integer_sddp_training_log.csv"), training_log_dataframe(model_integer)) +CSV.write(joinpath(result_dir, "integer_sddp_training_log.csv"), combined_log) CSV.write(joinpath(result_dir, "integer_sddp_timing.csv"), - DataFrame(method=["SDDP.jl integer rollout"], fit_seconds=[0.0], + DataFrame(method=["SDDP (MIP fwd)"], fit_seconds=[0.0], eval_seconds=[sddp_int_seconds], n_eval=[N_SIM])) open(joinpath(result_dir, "integer_sddp_bound.txt"), "w") do io println(io, int_bound) From f23e2b371594c7e55f27fc55977ce99a269f3f2c Mon Sep 17 00:00:00 2001 From: Andrew Rosemberg Date: Fri, 19 Jun 2026 21:31:48 -0400 Subject: [PATCH 03/17] update documentation --- .gitignore | 1 + Project.toml | 2 + docs/Project.toml | 3 + docs/src/examples/hydro.jl | 2 +- docs/src/examples/hydro.md | 3 +- docs/src/examples/inventory.jl | 394 ++++--- docs/src/examples/inventory.md | 396 ++++--- examples/inventory_control/README.md | 20 + examples/inventory_control/compare_results.jl | 1017 ++++++++++++++--- .../inventory_control/train_dr_inventory.jl | 948 ++++++++++++--- src/DecisionRules.jl | 6 + src/integer_strategies.jl | 177 ++- src/score_function.jl | 638 +++++++++++ src/simulate_multistage.jl | 346 +++++- src/utils.jl | 27 + test/runtests.jl | 2 + test/test_score_function.jl | 382 +++++++ 17 files changed, 3660 insertions(+), 704 deletions(-) create mode 100644 src/score_function.jl create mode 100644 test/test_score_function.jl diff --git a/.gitignore b/.gitignore index d69c144..3d17bf7 100644 --- a/.gitignore +++ b/.gitignore @@ -52,4 +52,5 @@ examples/**/.CondaPkg/* *.tsv *.pdf plan.md +memory.md *_cuts.json diff --git a/Project.toml b/Project.toml index bf7226f..d00aaf0 100644 --- a/Project.toml +++ b/Project.toml @@ -16,6 +16,7 @@ Logging = "56ddb016-857b-54e1-b83d-db4d58db5568" MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee" ParametricOptInterface = "0ce4ce61-57bf-432b-a095-efac525d185e" Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" +Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f" [compat] @@ -35,6 +36,7 @@ MadNLP = "0.8, 0.9, 0.10" MadNLPGPU = "0.7, 0.8, 0.9, 0.10" MathOptInterface = "1.48.0" ParametricOptInterface = "0.14.1, 0.15, 0.16" +Statistics = "1.11.1" Zygote = "0.6.77, 0.7" julia = "1.10, 1.11, 1.12" diff --git a/docs/Project.toml b/docs/Project.toml index 6829622..cadd9b3 100644 --- a/docs/Project.toml +++ b/docs/Project.toml @@ -3,9 +3,12 @@ DecisionRules = "47937410-f832-486f-8300-12c95b225dfc" DiffOpt = "930fe3bc-9c6b-11ea-2d94-6184641e85e7" Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4" Flux = "587475ba-b771-5e3f-ad9e-33799f191a9c" +Functors = "d9f16b24-f501-4c13-a1f2-28368ffc5196" +HiGHS = "87dc4568-4c63-4d18-b0c0-bb2238e4078b" Ipopt = "b6b21f68-93f8-5de0-b562-5493be1d77c9" JuMP = "4076af6c-e467-56ae-b986-b466b2749572" Literate = "98b081ad-f1c9-55d3-8b20-4c87d4299306" +MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee" Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" diff --git a/docs/src/examples/hydro.jl b/docs/src/examples/hydro.jl index c5e476f..4a7fb80 100644 --- a/docs/src/examples/hydro.jl +++ b/docs/src/examples/hydro.jl @@ -147,7 +147,7 @@ using Statistics, Random # # ![Out-of-sample cost comparison](../assets/hydro_cost_comparison.png) # -# ![Reservoir trajectories](../assets/hydro_trajectories.png) +# ![Violation share](../assets/hydro_violation_share.png) # # | Method | Mean Cost | Std | Violation % | Train Time | # |:---|---:|---:|---:|---:| diff --git a/docs/src/examples/hydro.md b/docs/src/examples/hydro.md index 5f43985..a29c9d4 100644 --- a/docs/src/examples/hydro.md +++ b/docs/src/examples/hydro.md @@ -153,10 +153,11 @@ are generated from full training runs (20 epochs × 100 batches each). ![Out-of-sample cost comparison](../assets/hydro_cost_comparison.png) -![Reservoir trajectories](../assets/hydro_trajectories.png) +![Violation share](../assets/hydro_violation_share.png) | Method | Mean Cost | Std | Violation % | Train Time | |:---|---:|---:|---:|---:| | Deterministic Equivalent | 321189.0 | — | 48.66% | 158 steps | | Stage-wise Subproblems | 364110.0 | — | 0.59% | 159 steps | | Multiple Shooting | 319462.0 | — | 36.18% | 236 steps | + diff --git a/docs/src/examples/inventory.jl b/docs/src/examples/inventory.jl index 269d50f..385a465 100644 --- a/docs/src/examples/inventory.jl +++ b/docs/src/examples/inventory.jl @@ -1,193 +1,277 @@ -# # Inventory Control with Ordering Costs +# # Stochastic Lot-Sizing with Fixed Ordering Costs # -# This example studies a 12-period stochastic lot-sizing problem with two -# formulations — a **relaxed** (continuous) case and an **integer** (MIP) case -# with fixed ordering costs. The comparison shows: +# This example shows how to train target-state decision rules for a stochastic +# inventory problem with ex-ante ordering decisions. # -# 1. **Relaxed problem**: SDDP with a PAR(1) demand approximation is -# near-optimal and outperforms TS-DDR. -# 2. **Integer problem**: TS-DDR with `FixedDiscreteIntegerStrategy` outperforms -# both SDDP and TS-DDR with `ContinuousRelaxationIntegerStrategy`, because -# SDDP and continuous relaxation both underestimate the fixed ordering cost. +# The example has two purposes: +# +# 1. show the complete optimization model before discussing implementation +# details; and +# 2. show the code in the same order a reader would run it. using DecisionRules -using JuMP, HiGHS using Flux -using Statistics, Random +using HiGHS +using JuMP +using Random +using Statistics + +# The runnable experiment lives outside the documentation tree. The file defines +# the demand process, JuMP builders, and policy architecture used below. +include(joinpath(@__DIR__, "..", "..", "..", "examples", "inventory_control", + "build_inventory_problem.jl")) # ## Information Pattern # -# At the beginning of a period, the controller observes current inventory and -# recent realized demand. It does **not** observe current demand before ordering. -# The order is therefore ex-ante. After ordering, demand is realized and becomes -# part of the state for the next period. +# At the beginning of period `t`, the controller knows # -# The state carried between periods is: -# -# ```julia -# [net_inventory, last_demand, previous_demand] +# ```math +# x_t = (s_{t-1}, d_{t-1}, d_{t-2}), # ``` # -# This lets a time-invariant policy infer the latent demand regime from recent -# observations without receiving a period counter or synthetic seasonal features. - -# ## Inventory Model +# where `s` is net inventory and `d` is realized demand. The controller chooses +# the order quantity before seeing current demand `d_t`. This is an ex-ante +# decision. # -# ### Relaxed formulation +# The neural policy receives `[d_t, x_t...]` during training because +# DecisionRules policies output target states after the stage uncertainty is +# sampled. The implementation below uses that target only to guide the +# optimization model; the actual order still respects the model's information +# pattern. + +# ## Complete Stage Model # -# The order quantity is continuous with no setup cost: +# For each period `t = 1, ..., T`, the stage model is # # ```math -# 0 \le q_t \le Q_{\max}, \qquad -# \text{cost}_t = c\,q_t + h\max(s_t,0) + p\max(-s_t,0). +# \begin{aligned} +# \min_{q_t,z_t,s_t^{mid},s_t,h_t,b_t} +# \quad & K z_t + c q_t + h h_t + p b_t +# + \lambda |s_t^{mid} - \hat{s}_t| \\ +# \text{s.t.}\quad +# & 0 \le q_t \le Q_{\max} z_t, && \text{(1) order capacity} \\ +# & z_t \in \{0,1\}, && \text{(2) setup decision} \\ +# & s_t^{mid} = s_{t-1} + q_t, && \text{(3) order arrives} \\ +# & s_t = s_t^{mid} - d_t, && \text{(4) demand realizes} \\ +# & h_t - b_t = s_t, && \text{(5) inventory split} \\ +# & h_t \ge 0,\; b_t \ge 0. && \text{(6) split bounds} +# \end{aligned} # ``` # -# ### Integer formulation +# The relaxed model removes (2) and replaces (1) by +# ``0 \le q_t \le Q_{\max}``; it also removes the fixed cost `K z_t` from the +# objective. # -# A binary variable ``z_t \in \{0,1\}`` controls whether an order is placed. -# If ``z_t = 0``, then ``q_t`` must be zero; if ``z_t = 1``, the model pays a -# fixed setup cost ``K``: -# -# ```math -# 0 \le q_t \le Q_{\max}\,z_t, \qquad -# \text{cost}_t = K\,z_t + c\,q_t + h\max(s_t,0) + p\max(-s_t,0). -# ``` +# The target `\hat{s}_t` is not an operational requirement. It is the state +# target produced by the neural decision rule, and the penalty term gives the +# policy a gradient signal. + +# ## Parameters + +inventory_parameters = ( + T = INVENTORY_T, + setup_cost = INVENTORY_K, + unit_order_cost = INVENTORY_C, + holding_cost = INVENTORY_H, + backlog_cost = INVENTORY_P, + order_capacity = INVENTORY_Q_MAX, + initial_inventory = INVENTORY_I0, + target_penalty = INVENTORY_PENALTY, +) + +# ## Demand Process # -# In both cases, ordered units arrive before demand: +# Demand has a hidden seasonal phase, a persistent hidden regime, and an AR(1) +# shock: # # ```math -# s^{mid}_t = s_{t-1} + q_t, \qquad s_t = s^{mid}_t - d_t. +# \epsilon_t = 0.92 \epsilon_{t-1} + 0.35 \eta_t, # ``` # -# | Parameter | Value | Meaning | -# |:--|--:|:--| -# | ``T`` | 12 | periods | -# | ``K`` | 500 | fixed order/setup cost (integer case) | -# | ``c`` | 2 | unit ordering cost | -# | ``h`` | 1 | holding cost | -# | ``p`` | 25 | backlog penalty | -# | ``Q_{\max}`` | 350 | order capacity | -# | ``s_0`` | 30 | initial inventory | - -# ## Demand Process -# -# Each trajectory has a path-level phase shift ``\phi \sim \mathrm{Unif}\{0,\ldots,T-1\}``, -# a persistent latent regime ``r_t \in \{-1,0,1\}`` (switch probability 0.04), -# and an autoregressive shock ``\epsilon_t``: -# # ```math -# \epsilon_t = 0.92\,\epsilon_{t-1} + 0.35\,\eta_t, \qquad -# d_t = \operatorname{clip}\!\bigl( -# m_{\kappa_t} + w_{\kappa_t}(0.85\,r_t + 0.42\,\epsilon_t + 0.12\,\eta'_t) -# \bigr), +# d_t = +# \operatorname{clip}\!\left( +# m_{\kappa_t} +# + w_{\kappa_t}(0.85 r_t + 0.42 \epsilon_t + 0.12 \eta'_t) +# \right), # ``` # -# where ``\kappa_t = 1 + ((t + \phi - 1) \bmod T)`` is the shifted seasonal -# index, and ``m_{\kappa_t}`` and ``w_{\kappa_t}`` are the midpoint and -# half-width of the seasonal demand band. None of the latent variables are -# observed; the policy sees only inventory and realized demand history. +# where `r_t` is the hidden regime and +# ``\kappa_t = 1 + ((t + \phi - 1) \bmod T)`` is the hidden seasonal index. + +Random.seed!(11) +demand_paths = [sample_inventory_demand_path() for _ in 1:3] + +# ## Build the Continuous and Integer Models # -# The plot below shows 24 sampled demand paths. Because each trajectory has a -# different phase and persistent regime, the same calendar period can correspond -# to high, medium, or low demand across scenarios. +# The builders return the JuMP model(s), input-state parameters, output-target +# parameters, an uncertainty sampler, and the initial state. + +relaxed_subproblems, +relaxed_state_in, +relaxed_state_out, +relaxed_sampler, +initial_state = build_inventory_subproblems(; + num_scenarios = 100, + integer = false, +) + +integer_subproblems, +integer_state_in, +integer_state_out, +integer_sampler, +_ = build_inventory_subproblems(; + num_scenarios = 100, + integer = true, +) + +# The deterministic equivalent is the full-horizon model used by direct +# transcription training. + +integer_det_equivalent, +integer_det_state_in, +integer_det_state_out, +integer_det_sampler, +_ = build_inventory_det_equivalent(; + num_scenarios = 50, + integer = true, +) + +# ## Integer Sensitivity Strategies # -# ![Demand process](../assets/inventory_demand_process.png) +# Mixed-integer models do not have ordinary LP duals. DecisionRules therefore +# makes the chosen postprocessing strategy explicit. + +fixed_discrete = FixedDiscreteIntegerStrategy() +continuous_relaxation = ContinuousRelaxationIntegerStrategy() -# ## Integer Postprocessing Strategies +# `FixedDiscreteIntegerStrategy` solves the MIP, fixes the incumbent integer +# variables, re-solves the fixed LP, and reads local dual information. # -# DecisionRules.jl provides two strategies for extracting gradient information -# from subproblems with discrete variables: +# `ContinuousRelaxationIntegerStrategy` relaxes integer variables first and reads +# duals from the relaxed LP. This is smoother and faster, but the gradient is for +# the relaxation, not for an integer-feasible decision. + +# ## Score-Function Correction # -# **`FixedDiscreteIntegerStrategy`**: (1) solve the MIP for incumbent binary -# values ``z^*_t``; (2) fix ``z_t = z^*_t`` and relax integrality; (3) re-solve -# the resulting LP; (4) read LP duals as gradient signal. This is the same -# principle as SDDP.jl's `FixedDiscreteDuality`. +# Local LP duals do not see a discrete switch such as "open the setup variable". +# A score-function correction estimates the effect of target changes by solving +# perturbed integer rollouts: # -# **`ContinuousRelaxationIntegerStrategy`**: relax all binary/integer -# constraints to continuous bounds (binary → [0,1]), solve the resulting LP, -# and read duals directly. This is faster (one LP instead of MIP + LP) and -# gives smoother gradients, but the solution may have fractional integer -# variables — the gradient does not correspond to any feasible integer -# assignment. +# ```math +# \nabla L +# = +# \alpha \nabla L_{\mathrm{dual}} +# + (1-\alpha) +# \frac{1}{M} +# \sum_{m=1}^{M} +# (R_m - b) +# \nabla_\theta +# \sum_{t=1}^{T} +# \left\langle +# \delta_{m,t}/\sigma^2, +# \hat{x}_{t+1}(\theta) +# \right\rangle . +# ``` # -# For the relaxed formulation (no integer variables), `NoIntegerStrategy` is -# used and subproblems are solved as-is. - -# ## Relaxed (Continuous) Problem +# There are two different solves in the mixed-gradient training loop: # -# When there are no integer variables, SDDP can model the demand process -# exactly via a PAR(1) approximation that carries ``d_{t-1}`` as a state -# variable. This makes SDDP near-optimal for the relaxed problem. +# - `train_multistage(...; integer_strategy = fixed_discrete)` controls the +# deterministic-equivalent solve used for the dual-gradient term +# ``\nabla L_{\mathrm{dual}}``. This solve needs a postprocessing strategy +# because duals are not directly defined for a MIP. +# - `ScoreFunctionConfig(integer_subproblems, ...)` controls the Monte Carlo +# rollout term. These rollout models are solved exactly as they are built. +# Because `integer_subproblems` contain binary setup variables, the rollout +# costs `R_m` are true MIP rollout costs. # -# SDDP uses a PAR(1) fit: ``d_t \approx \mu_t + \alpha(d_{t-1} - \mu_{t-1}) + \omega_t`` -# with per-stage means ``\mu_t``, autocorrelation ``\alpha \approx 0.86``, and -# 9 equiprobable innovation points fitted from 10,000 simulated demand paths. +# In short: `integer_strategy` is for reading local duals; score-function +# rollouts are for measuring realized costs. + +score_function = ScoreFunctionConfig( + integer_subproblems, + integer_state_in, + integer_state_out; + dual_weight = 0.5, + perturbation_std = 1.0, + num_rollouts = 8, +) + +score_schedule = ScoreFunctionSchedule( + score_function; + sf_start = 200, + ramp_batches = 300, + perturbation_std_initial = 0.1, + num_rollouts_initial = 2, +) + +# ## Policy # -# ![Relaxed results](../assets/inventory_relaxed_results.png) +# The policy maps recent observations to the next target state +# `(target_inventory, current_demand, last_demand)`. + +policy = build_exante_policy(; seed = 2024) + +# ## Training Calls # -# | Method | N | Mean cost | Std | 95% CI | vs TS-DDR | Fit (s) | Eval (s) | -# |:-------------------------|----:|----------:|------:|-------:|----------:|--------:|---------:| -# | TS-DDR (trained) | 300 | 2667.3 | 594.5 | 67.3 | +0.0% | 54.6 | 0.0018 | -# | SDDP (PAR) | 300 | 2434.2 | 774.8 | 87.7 | -8.7% | 0.0 | 37.4613 | -# | Base-stock (S\*=160) | 300 | 3035.6 | 506.8 | 57.3 | +13.8% | 0.0 | 0.0002 | -# | Random (untrained) | 300 | 3751.7 | 221.7 | 25.1 | +40.7% | 0.0 | 0.0018 | -# -# SDDP clearly dominates: 8.7% lower cost than TS-DDR, 40.7% lower than -# Random. The SDDP and Random cost distributions are non-overlapping, -# confirming that informed methods have a clear edge on this demand process. - -# ## Integer (MIP) Problem -# -# Introducing the binary ``z_t`` and fixed cost ``K=500`` changes the -# landscape. Standard SDDP uses LP relaxation for both training and rollout -# (``z \in [0,1]``), which systematically underestimates ``K``: when the LP -# says ``z=0.3``, ``q=20``, the relaxed cost is -# ``0.3 \times 500 + 2 \times 20 = 190``, but the true integer cost with -# ``z=1`` is ``500 + 40 = 540``. -# -# Using SDDP.jl's `AlternativeForwardPass`, we can do much better: the -# forward pass solves true MIP subproblems (``z \in \{0,1\}``), generating -# trial points where the binary decisions actually live, while the backward -# pass uses LP relaxation to compute cuts with valid duals. The MIP rollout -# then makes honest binary ordering decisions using those cuts as the value -# function approximation. +# The continuous problem uses ordinary dual information. + +# ```julia +# train_multistage( +# policy, +# initial_state, +# relaxed_subproblems, +# relaxed_state_in, +# relaxed_state_out, +# relaxed_sampler; +# num_batches = 400, +# num_train_per_batch = 5, +# optimizer = Flux.Adam(0.0015), +# integer_strategy = NoIntegerStrategy(), +# penalty_schedule = [(1, 80, 0.4), (81, 400, 1.0)], +# ) +# ``` + +# The integer deterministic-equivalent run uses the fixed-discrete local dual +# path plus the scheduled score-function correction. + +# ```julia +# train_multistage( +# policy, +# initial_state, +# integer_det_equivalent, +# integer_det_state_in, +# integer_det_state_out, +# integer_det_sampler; +# num_batches = 800, +# num_train_per_batch = 10, +# optimizer = Flux.Adam(0.0008), +# integer_strategy = fixed_discrete, +# penalty_schedule = [(1, 120, 0.4), (121, 800, 1.0)], +# score_function = score_schedule, +# ) +# ``` + +# ## Evaluation # -# ![Integer results](../assets/inventory_integer_results.png) +# A trained policy should be evaluated by stage-wise rollout, because that is +# the deployment semantics: solve one period, observe the realized next state, +# then solve the next period. + +uncertainty_sample = sample(integer_sampler) +rollout_cost = simulate_multistage( + integer_subproblems, + integer_state_in, + integer_state_out, + initial_state, + uncertainty_sample, + policy; + integer_strategy = fixed_discrete, +) + +# ## Experiment Scripts # -# | Method | N | Mean cost | Std | 95% CI | vs TS-DDR (FD) | Fit (s) | Eval (s) | -# |:-------------------------|----:|----------:|------:|-------:|---------------:|--------:|---------:| -# | TS-DDR (FixedDiscrete) | 300 | 8015.8 | 719.5 | 81.4 | +0.0% | 339.2 | 0.0112 | -# | TS-DDR (ContRelax) | 300 | 8318.1 | 720.0 | 81.5 | +3.8% | 111.0 | 0.0117 | -# | SDDP (MIP fwd) | 300 | 5871.6 | 1087.4 | 123.1 | -26.7% | 0.0 | 159.9310 | -# | SDDP (LP relax) | 300 | 8274.2 | 912.5 | 103.3 | +3.2% | 0.0 | 18.5475 | -# | Base-stock (S\*=160) | 300 | 9035.6 | 506.8 | 57.3 | +12.7% | 0.0 | 0.0000 | -# | Random (untrained) | 300 | 9594.6 | 361.1 | 40.9 | +19.7% | 0.0 | 0.0120 | -# -# `SDDP (MIP fwd)` using `AlternativeForwardPass` achieves the lowest cost -# (5872), **26.7% below** TS-DDR (8016). The key insight is that the MIP -# rollout forces honest binary ordering decisions (order a full batch or -# nothing), while the default LP relaxation rollout makes decisions with -# artificially cheap fractional ``z``, then pays the full fixed cost after -# integer rounding — this explains the large gap between SDDP (LP relax) -# at 8274 and SDDP (MIP fwd) at 5872. -# -# TS-DDR with `FixedDiscreteIntegerStrategy` (8016) still outperforms the -# default SDDP LP relaxation approach (8274) and -# `ContinuousRelaxationIntegerStrategy` (8318), but cannot match the -# `AlternativeForwardPass` approach which benefits from SDDP's dynamic -# programming cuts evaluated in a true MIP context. - -# ## Runnable Scripts -# -# The complete experiment lives in `examples/inventory_control/`: -# -# | Script | Purpose | -# |:-------|:--------| -# | `build_inventory_problem.jl` | JuMP subproblem and det-equivalent builders, demand process, policy architecture | -# | `train_dr_inventory.jl` | TS-DDR training (relaxed, FixedDiscrete, ContRelax) and trajectory evaluation | -# | `evaluate_inventory.jl` | Base-stock grid-search and random baseline evaluation | -# | `solve_sddp.jl` | SDDP (2T-stage PAR(1)) training and rollout | -# | `compare_results.jl` | Load all CSVs, print summary tables, save plots | +# The full benchmark scripts write CSV results and figures: # # ```bash # julia --project=examples/inventory_control examples/inventory_control/train_dr_inventory.jl @@ -195,3 +279,11 @@ using Statistics, Random # julia --project=examples/inventory_control examples/inventory_control/solve_sddp.jl # julia --project=examples/inventory_control examples/inventory_control/compare_results.jl # ``` +# +# The figures used by this page are generated by `compare_results.jl`. + +# ![Demand process](../assets/inventory_demand_process.png) +# +# ![Relaxed results](../assets/inventory_relaxed_results.png) +# +# ![Integer results](../assets/inventory_integer_results.png) diff --git a/docs/src/examples/inventory.md b/docs/src/examples/inventory.md index ba10084..3142ab6 100644 --- a/docs/src/examples/inventory.md +++ b/docs/src/examples/inventory.md @@ -2,190 +2,301 @@ EditURL = "inventory.jl" ``` -# Inventory Control with Ordering Costs +# Stochastic Lot-Sizing with Fixed Ordering Costs -This example studies a 12-period stochastic lot-sizing problem with two -formulations — a **relaxed** (continuous) case and an **integer** (MIP) case -with fixed ordering costs. The comparison shows: +This example shows how to train target-state decision rules for a stochastic +inventory problem with ex-ante ordering decisions. -1. **Relaxed problem**: SDDP with a PAR(1) demand approximation is - near-optimal and outperforms TS-DDR. -2. **Integer problem**: TS-DDR with `FixedDiscreteIntegerStrategy` outperforms - both SDDP and TS-DDR with `ContinuousRelaxationIntegerStrategy`, because - SDDP and continuous relaxation both underestimate the fixed ordering cost. +The example has two purposes: -## Information Pattern - -At the beginning of a period, the controller observes current inventory and -recent realized demand. It does **not** observe current demand before ordering. -The order is therefore ex-ante. After ordering, demand is realized and becomes -part of the state for the next period. - -The state carried between periods is: +1. show the complete optimization model before discussing implementation + details; and +2. show the code in the same order a reader would run it. -```julia -[net_inventory, last_demand, previous_demand] -``` +````@example inventory +using DecisionRules +using Flux +using HiGHS +using JuMP +using Random +using Statistics +```` -This lets a time-invariant policy infer the latent demand regime from recent -observations without receiving a period counter or synthetic seasonal features. +The runnable experiment lives outside the documentation tree. The file defines +the demand process, JuMP builders, and policy architecture used below. -## Inventory Model +````@example inventory +include(joinpath(@__DIR__, "..", "..", "..", "examples", "inventory_control", + "build_inventory_problem.jl")) +```` -### Relaxed formulation +## Information Pattern -The order quantity is continuous with no setup cost: +At the beginning of period `t`, the controller knows ```math -0 \le q_t \le Q_{\max}, \qquad -\text{cost}_t = c\,q_t + h\max(s_t,0) + p\max(-s_t,0). +x_t = (s_{t-1}, d_{t-1}, d_{t-2}), ``` -### Integer formulation +where `s` is net inventory and `d` is realized demand. The controller chooses +the order quantity before seeing current demand `d_t`. This is an ex-ante +decision. -A binary variable ``z_t \in \{0,1\}`` controls whether an order is placed. -If ``z_t = 0``, then ``q_t`` must be zero; if ``z_t = 1``, the model pays a -fixed setup cost ``K``: +The neural policy receives `[d_t, x_t...]` during training because +DecisionRules policies output target states after the stage uncertainty is +sampled. The implementation below uses that target only to guide the +optimization model; the actual order still respects the model's information +pattern. -```math -0 \le q_t \le Q_{\max}\,z_t, \qquad -\text{cost}_t = K\,z_t + c\,q_t + h\max(s_t,0) + p\max(-s_t,0). -``` +## Complete Stage Model -In both cases, ordered units arrive before demand: +For each period `t = 1, ..., T`, the stage model is ```math -s^{mid}_t = s_{t-1} + q_t, \qquad s_t = s^{mid}_t - d_t. +\begin{aligned} +\min_{q_t,z_t,s_t^{mid},s_t,h_t,b_t} + \quad & K z_t + c q_t + h h_t + p b_t + + \lambda |s_t^{mid} - \hat{s}_t| \\ +\text{s.t.}\quad + & 0 \le q_t \le Q_{\max} z_t, && \text{(1) order capacity} \\ + & z_t \in \{0,1\}, && \text{(2) setup decision} \\ + & s_t^{mid} = s_{t-1} + q_t, && \text{(3) order arrives} \\ + & s_t = s_t^{mid} - d_t, && \text{(4) demand realizes} \\ + & h_t - b_t = s_t, && \text{(5) inventory split} \\ + & h_t \ge 0,\; b_t \ge 0. && \text{(6) split bounds} +\end{aligned} ``` -| Parameter | Value | Meaning | -|:--|--:|:--| -| ``T`` | 12 | periods | -| ``K`` | 500 | fixed order/setup cost (integer case) | -| ``c`` | 2 | unit ordering cost | -| ``h`` | 1 | holding cost | -| ``p`` | 25 | backlog penalty | -| ``Q_{\max}`` | 350 | order capacity | -| ``s_0`` | 30 | initial inventory | +The relaxed model removes (2) and replaces (1) by +``0 \le q_t \le Q_{\max}``; it also removes the fixed cost `K z_t` from the +objective. + +The target `\hat{s}_t` is not an operational requirement. It is the state +target produced by the neural decision rule, and the penalty term gives the +policy a gradient signal. + +## Parameters + +````@example inventory +inventory_parameters = ( + T = INVENTORY_T, + setup_cost = INVENTORY_K, + unit_order_cost = INVENTORY_C, + holding_cost = INVENTORY_H, + backlog_cost = INVENTORY_P, + order_capacity = INVENTORY_Q_MAX, + initial_inventory = INVENTORY_I0, + target_penalty = INVENTORY_PENALTY, +) +```` ## Demand Process -Each trajectory has a path-level phase shift ``\phi \sim \mathrm{Unif}\{0,\ldots,T-1\}``, -a persistent latent regime ``r_t \in \{-1,0,1\}`` (switch probability 0.04), -and an autoregressive shock ``\epsilon_t``: +Demand has a hidden seasonal phase, a persistent hidden regime, and an AR(1) +shock: ```math -\epsilon_t = 0.92\,\epsilon_{t-1} + 0.35\,\eta_t, \qquad -d_t = \operatorname{clip}\!\bigl( - m_{\kappa_t} + w_{\kappa_t}(0.85\,r_t + 0.42\,\epsilon_t + 0.12\,\eta'_t) -\bigr), +\epsilon_t = 0.92 \epsilon_{t-1} + 0.35 \eta_t, ``` -where ``\kappa_t = 1 + ((t + \phi - 1) \bmod T)`` is the shifted seasonal -index, and ``m_{\kappa_t}`` and ``w_{\kappa_t}`` are the midpoint and -half-width of the seasonal demand band. None of the latent variables are -observed; the policy sees only inventory and realized demand history. - -The plot below shows 24 sampled demand paths. Because each trajectory has a -different phase and persistent regime, the same calendar period can correspond -to high, medium, or low demand across scenarios. - -![Demand process](../assets/inventory_demand_process.png) - -## Integer Postprocessing Strategies - -DecisionRules.jl provides two strategies for extracting gradient information -from subproblems with discrete variables: - -**`FixedDiscreteIntegerStrategy`**: (1) solve the MIP for incumbent binary -values ``z^*_t``; (2) fix ``z_t = z^*_t`` and relax integrality; (3) re-solve -the resulting LP; (4) read LP duals as gradient signal. This is the same -principle as SDDP.jl's `FixedDiscreteDuality`. - -**`ContinuousRelaxationIntegerStrategy`**: relax all binary/integer -constraints to continuous bounds (binary → [0,1]), solve the resulting LP, -and read duals directly. This is faster (one LP instead of MIP + LP) and -gives smoother gradients, but the solution may have fractional integer -variables — the gradient does not correspond to any feasible integer -assignment. +```math +d_t = +\operatorname{clip}\!\left( + m_{\kappa_t} + + w_{\kappa_t}(0.85 r_t + 0.42 \epsilon_t + 0.12 \eta'_t) +\right), +``` -For the relaxed formulation (no integer variables), `NoIntegerStrategy` is -used and subproblems are solved as-is. +where `r_t` is the hidden regime and +``\kappa_t = 1 + ((t + \phi - 1) \bmod T)`` is the hidden seasonal index. + +````@example inventory +Random.seed!(11) +demand_paths = [sample_inventory_demand_path() for _ in 1:3] +```` + +## Build the Continuous and Integer Models + +The builders return the JuMP model(s), input-state parameters, output-target +parameters, an uncertainty sampler, and the initial state. + +````@example inventory +relaxed_subproblems, +relaxed_state_in, +relaxed_state_out, +relaxed_sampler, +initial_state = build_inventory_subproblems(; + num_scenarios = 100, + integer = false, +) + +integer_subproblems, +integer_state_in, +integer_state_out, +integer_sampler, +_ = build_inventory_subproblems(; + num_scenarios = 100, + integer = true, +) +```` + +The deterministic equivalent is the full-horizon model used by direct +transcription training. + +````@example inventory +integer_det_equivalent, +integer_det_state_in, +integer_det_state_out, +integer_det_sampler, +_ = build_inventory_det_equivalent(; + num_scenarios = 50, + integer = true, +) +```` + +## Integer Sensitivity Strategies + +Mixed-integer models do not have ordinary LP duals. DecisionRules therefore +makes the chosen postprocessing strategy explicit. + +````@example inventory +fixed_discrete = FixedDiscreteIntegerStrategy() +continuous_relaxation = ContinuousRelaxationIntegerStrategy() +```` + +`FixedDiscreteIntegerStrategy` solves the MIP, fixes the incumbent integer +variables, re-solves the fixed LP, and reads local dual information. + +`ContinuousRelaxationIntegerStrategy` relaxes integer variables first and reads +duals from the relaxed LP. This is smoother and faster, but the gradient is for +the relaxation, not for an integer-feasible decision. + +## Score-Function Correction + +Local LP duals do not see a discrete switch such as "open the setup variable". +A score-function correction estimates the effect of target changes by solving +perturbed integer rollouts: -## Relaxed (Continuous) Problem +```math +\nabla L += +\alpha \nabla L_{\mathrm{dual}} ++ (1-\alpha) + \frac{1}{M} + \sum_{m=1}^{M} + (R_m - b) + \nabla_\theta + \sum_{t=1}^{T} + \left\langle + \delta_{m,t}/\sigma^2, + \hat{x}_{t+1}(\theta) + \right\rangle . +``` -When there are no integer variables, SDDP can model the demand process -exactly via a PAR(1) approximation that carries ``d_{t-1}`` as a state -variable. This makes SDDP near-optimal for the relaxed problem. +There are two different solves in the mixed-gradient training loop: -SDDP uses a PAR(1) fit: ``d_t \approx \mu_t + \alpha(d_{t-1} - \mu_{t-1}) + \omega_t`` -with per-stage means ``\mu_t``, autocorrelation ``\alpha \approx 0.86``, and -9 equiprobable innovation points fitted from 10,000 simulated demand paths. +- `train_multistage(...; integer_strategy = fixed_discrete)` controls the + deterministic-equivalent solve used for the dual-gradient term + ``\nabla L_{\mathrm{dual}}``. This solve needs a postprocessing strategy + because duals are not directly defined for a MIP. +- `ScoreFunctionConfig(integer_subproblems, ...)` controls the Monte Carlo + rollout term. These rollout models are solved exactly as they are built. + Because `integer_subproblems` contain binary setup variables, the rollout + costs `R_m` are true MIP rollout costs. -All costs below are out-of-sample operational costs evaluated on the same 300 -demand scenarios (seed 555). **Fit** is the one-time offline cost (training -or tuning). **Eval** is the online deployment cost per decision point. +In short: `integer_strategy` is for reading local duals; score-function +rollouts are for measuring realized costs. -![Relaxed results](../assets/inventory_relaxed_results.png) +````@example inventory +score_function = ScoreFunctionConfig( + integer_subproblems, + integer_state_in, + integer_state_out; + dual_weight = 0.5, + perturbation_std = 1.0, + num_rollouts = 8, +) -SDDP LP bound: **2162.0** +score_schedule = ScoreFunctionSchedule( + score_function; + sf_start = 200, + ramp_batches = 300, + perturbation_std_initial = 0.1, + num_rollouts_initial = 2, +) +```` -| Method | N | Mean cost | Std | 95% CI | vs TS-DDR | Fit (s) | Eval (s) | -|:-------------------------|----:|----------:|------:|-------:|----------:|--------:|---------:| -| TS-DDR (trained) | 300 | 2667.3 | 594.5 | 67.3 | +0.0% | 54.6 | 0.0018 | -| SDDP (PAR) | 300 | 2434.2 | 774.8 | 87.7 | -8.7% | 0.0 | 20.6455 | -| Base-stock (S\*=160) | 300 | 3035.6 | 506.8 | 57.3 | +13.8% | 0.0 | 0.0002 | -| Random (untrained) | 300 | 3751.7 | 221.7 | 25.1 | +40.7% | 0.0 | 0.0018 | +## Policy -SDDP clearly dominates: 8.7% lower cost than TS-DDR, and the SDDP and Random -cost distributions are non-overlapping. This is expected for a convex problem -where SDDP can represent the demand dynamics exactly through the PAR(1) state -variable. +The policy maps recent observations to the next target state +`(target_inventory, current_demand, last_demand)`. -## Integer (MIP) Problem +````@example inventory +policy = build_exante_policy(; seed = 2024) +```` -Introducing the binary ``z_t`` and fixed cost ``K=500`` changes the -landscape. SDDP can only use LP relaxation for training (``z \in [0,1]``), -which systematically underestimates ``K``: when the LP says ``z=0.3``, -``q=20``, the relaxed cost is ``0.3 \times 500 + 2 \times 20 = 190``, but -the true integer cost with ``z=1`` is ``500 + 40 = 540``. +## Training Calls -TS-DDR with `FixedDiscreteIntegerStrategy` handles this correctly: it -solves the full MIP, fixes the binary incumbent, and reads LP duals in -that integer-consistent state. +The continuous problem uses ordinary dual information. -![Integer results](../assets/inventory_integer_results.png) +```julia +train_multistage( + policy, + initial_state, + relaxed_subproblems, + relaxed_state_in, + relaxed_state_out, + relaxed_sampler; + num_batches = 400, + num_train_per_batch = 5, + optimizer = Flux.Adam(0.0015), + integer_strategy = NoIntegerStrategy(), + penalty_schedule = [(1, 80, 0.4), (81, 400, 1.0)], +) +``` -SDDP LP bound: **3346.6** +The integer deterministic-equivalent run uses the fixed-discrete local dual +path plus the scheduled score-function correction. -| Method | N | Mean cost | Std | 95% CI | vs TS-DDR (FD) | Fit (s) | Eval (s) | -|:-------------------------|----:|----------:|------:|-------:|---------------:|--------:|---------:| -| TS-DDR (FixedDiscrete) | 300 | 8015.8 | 719.5 | 81.4 | +0.0% | 339.2 | 0.0112 | -| TS-DDR (ContRelax) | 300 | 8318.1 | 720.0 | 81.5 | +3.8% | 109.4 | 0.0117 | -| SDDP integer rollout | 300 | 8274.2 | 912.5 | 103.3 | +3.2% | 0.0 | 7.9088 | -| Base-stock (S\*=160) | 300 | 9035.6 | 506.8 | 57.3 | +12.7% | 0.0 | 0.0000 | -| Random (untrained) | 300 | 9594.6 | 361.1 | 40.9 | +19.7% | 0.0 | 0.0120 | +```julia +train_multistage( + policy, + initial_state, + integer_det_equivalent, + integer_det_state_in, + integer_det_state_out, + integer_det_sampler; + num_batches = 800, + num_train_per_batch = 10, + optimizer = Flux.Adam(0.0008), + integer_strategy = fixed_discrete, + penalty_schedule = [(1, 120, 0.4), (121, 800, 1.0)], + score_function = score_schedule, +) +``` -`FixedDiscreteIntegerStrategy` achieves the lowest cost (8016), beating both -SDDP (8274, +3.2%) and `ContinuousRelaxationIntegerStrategy` (8318, +3.8%). -The continuous relaxation strategy performs similarly to SDDP — both use LP -relaxation and both underestimate the fixed ordering cost. +## Evaluation -`ContinuousRelaxationIntegerStrategy` trains 3× faster (109s vs 339s) -because it only solves LPs, but the resulting policy is less accurate on -integer-constrained problems. +A trained policy should be evaluated by stage-wise rollout, because that is +the deployment semantics: solve one period, observe the realized next state, +then solve the next period. -## Runnable Scripts +````@example inventory +uncertainty_sample = sample(integer_sampler) +rollout_cost = simulate_multistage( + integer_subproblems, + integer_state_in, + integer_state_out, + initial_state, + uncertainty_sample, + policy; + integer_strategy = fixed_discrete, +) +```` -The complete experiment lives in `examples/inventory_control/`: +## Experiment Scripts -| Script | Purpose | -|:-------|:--------| -| `build_inventory_problem.jl` | JuMP subproblem and det-equivalent builders, demand process, policy architecture | -| `train_dr_inventory.jl` | TS-DDR training (relaxed, FixedDiscrete, ContRelax) and trajectory evaluation | -| `evaluate_inventory.jl` | Base-stock grid-search and random baseline evaluation | -| `solve_sddp.jl` | SDDP (2T-stage PAR(1)) training and rollout | -| `compare_results.jl` | Load all CSVs, print summary tables, save plots | +The full benchmark scripts write CSV results and figures: ```bash julia --project=examples/inventory_control examples/inventory_control/train_dr_inventory.jl @@ -193,3 +304,12 @@ julia --project=examples/inventory_control examples/inventory_control/evaluate_i julia --project=examples/inventory_control examples/inventory_control/solve_sddp.jl julia --project=examples/inventory_control examples/inventory_control/compare_results.jl ``` + +The figures used by this page are generated by `compare_results.jl`. + +![Demand process](../assets/inventory_demand_process.png) + +![Relaxed results](../assets/inventory_relaxed_results.png) + +![Integer results](../assets/inventory_integer_results.png) + diff --git a/examples/inventory_control/README.md b/examples/inventory_control/README.md index ae65663..a4ae4be 100644 --- a/examples/inventory_control/README.md +++ b/examples/inventory_control/README.md @@ -68,6 +68,26 @@ subproblems. Two strategies are available: For the relaxed formulation (no integer variables), `NoIntegerStrategy` is used — subproblems are solved and duals read as-is. +## Score-Function Gradient Mixing + +`ScoreFunctionConfig` adds a REINFORCE-style correction to the dual +gradient, enabling TS-DDR to capture discrete transitions that LP duals +miss. Stage-wise rollouts with Gaussian-perturbed targets estimate the +gradient of the true integer cost, and the two signals are mixed: + + g = α · g_dual + (1-α) · g_score_function + +There are two solves in the mixed-gradient training loop: + +- `train_multistage(...; integer_strategy=...)` controls the + deterministic-equivalent solve used to read the local dual-gradient term. +- `ScoreFunctionConfig(subproblems, ...)` uses its rollout subproblems exactly + as built. If those subproblems contain binary setup variables, the + score-function term measures true MIP rollout costs. + +So the integer strategy is not duplicated: it belongs to the dual path. The +score-function path measures costs from the rollout models you pass in. + ## Scripts Run from the repository root: diff --git a/examples/inventory_control/compare_results.jl b/examples/inventory_control/compare_results.jl index 552a46a..20e256e 100644 --- a/examples/inventory_control/compare_results.jl +++ b/examples/inventory_control/compare_results.jl @@ -1,213 +1,876 @@ """ -Compare all policies for both relaxed and integer inventory problem variants. -Produces two-section output: tables + compact 2×2 plot layouts. +Compare inventory-control benchmark results and regenerate documentation plots. + +This script expects the CSV files written by: + +- `train_dr_inventory.jl`; +- `evaluate_inventory.jl`; and +- `solve_sddp.jl`. + +It prints Markdown tables and writes the figures used by the documentation. """ -using CSV, DataFrames, Statistics, Printf, Random -using Plots, StatsPlots +using CSV +using DataFrames +using Plots +using Printf +using Random +using Statistics +using StatsPlots include(joinpath(@__DIR__, "build_inventory_problem.jl")) -result_dir = joinpath(@__DIR__, "results") -example_dir = @__DIR__ -docs_dir = normpath(joinpath(example_dir, "..", "..", "docs", "src", "assets")) -mkpath(docs_dir) +# All benchmark scripts write their raw CSV files here. +const RESULT_DIR = joinpath(@__DIR__, "results") + +# Documentation figures are checked into the docs asset directory. +const DOCS_ASSET_DIR = normpath(joinpath(@__DIR__, "..", "..", "docs", "src", "assets")) + +# Ensure the figure output directory exists before plotting. +mkpath(DOCS_ASSET_DIR) + +""" + MethodResult + +Costs and display metadata for one benchmark method. + +# Fields +- `name::String`: label printed in tables. +- `costs::Vector{Float64}`: operational costs, one per evaluation scenario. + +# Examples +```julia +result = MethodResult("TS-DDR", [1.0, 2.0, 3.0]) +``` +""" +struct MethodResult + name::String + costs::Vector{Float64} +end + +""" + TimingRecord + +Training and evaluation timing for one benchmark method. -function ci95(costs) +# Fields +- `fit_seconds::Float64`: total fitting time. +- `eval_seconds::Float64`: average evaluation time per stage. + +# Examples +```julia +timing = TimingRecord(10.0, 0.01) +``` +""" +struct TimingRecord + fit_seconds::Float64 + eval_seconds::Float64 +end + +""" + ci95(costs::AbstractVector{<:Real}) -> Float64 + +Return the normal-approximation half-width of a 95% confidence interval. + +The reported value is + +```math +1.96 \\frac{s}{\\sqrt{n}}, +``` + +where ``s`` is the sample standard deviation and ``n`` is the number of costs. + +# Arguments +- `costs::AbstractVector{<:Real}`: sampled operational costs. + +# Examples +```julia +half_width = ci95([10.0, 12.0, 11.0]) +``` +""" +function ci95(costs::AbstractVector{<:Real}) + # The table reports uncertainty in the sample mean, not in one trajectory. return 1.96 * std(costs) / sqrt(length(costs)) end -function load_costs(tag, method) - CSV.read(joinpath(result_dir, "$(tag)_$(method)_costs.csv"), DataFrame).operational_cost +""" + percent_gap(costs, reference_costs) -> Float64 + +Return the mean-cost percent gap relative to a reference method. + +The gap is + +```math +100 \\frac{\\bar{c} - \\bar{c}_{ref}}{\\bar{c}_{ref}}. +``` + +# Arguments +- `costs::AbstractVector{<:Real}`: candidate method costs. +- `reference_costs::AbstractVector{<:Real}`: reference method costs. + +# Examples +```julia +gap = percent_gap(candidate.costs, reference.costs) +``` +""" +function percent_gap(costs, reference_costs) + # Positive gaps mean the candidate is more expensive than the reference. + return 100.0 * (mean(costs) - mean(reference_costs)) / mean(reference_costs) +end + +""" + load_costs(tag::AbstractString, method::AbstractString) -> Vector{Float64} + +Load one benchmark cost vector from `RESULT_DIR`. + +# Arguments +- `tag::AbstractString`: problem prefix, such as `"relaxed"` or `"integer"`. +- `method::AbstractString`: method suffix, such as `"dr"` or `"sddp"`. + +# Examples +```julia +costs = load_costs("integer", "dr") +``` +""" +function load_costs(tag::AbstractString, method::AbstractString) + # Every cost file uses the shared `operational_cost` column. + table = CSV.read(joinpath(RESULT_DIR, "$(tag)_$(method)_costs.csv"), DataFrame) + + return Float64.(table.operational_cost) +end + +""" + optional_costs(tag::AbstractString, method::AbstractString) + +Load costs if a result file exists; otherwise return `nothing`. + +# Arguments +- `tag::AbstractString`: problem prefix. +- `method::AbstractString`: method suffix. + +# Examples +```julia +costs = optional_costs("integer_sf", "dr") +``` +""" +function optional_costs(tag::AbstractString, method::AbstractString) + # Optional variants should not make the comparison script fail. + path = joinpath(RESULT_DIR, "$(tag)_$(method)_costs.csv") + + return isfile(path) ? Float64.(CSV.read(path, DataFrame).operational_cost) : nothing +end + +""" + read_scalar(path::AbstractString) -> Float64 + +Read a scalar floating-point value from a text file. + +# Arguments +- `path::AbstractString`: text file containing one numeric value. + +# Examples +```julia +bound = read_scalar(joinpath(RESULT_DIR, "integer_sddp_bound.txt")) +``` +""" +function read_scalar(path::AbstractString) + # Baseline scripts write scalar values as plain text. + return parse(Float64, strip(read(path, String))) +end + +""" + timing_key(method_name::AbstractString) -> String + +Return the key used to look up timing rows. + +# Arguments +- `method_name::AbstractString`: table label. + +# Examples +```julia +key = timing_key("Base-stock (S*=160)") +``` +""" +function timing_key(method_name::AbstractString) + # Base-stock labels include S*, while timing files use a stable method name. + startswith(method_name, "Base-stock") && return "Base-stock" + + return String(method_name) end +""" + load_timing(tags) -> Dict{String,TimingRecord} + +Load timing rows for a set of result prefixes. + +# Arguments +- `tags`: iterable of prefixes, such as `["integer", "integer_cr"]`. + +# Examples +```julia +timing = load_timing(["integer", "integer_cr"]) +``` +""" function load_timing(tags) - dfs = DataFrame[] + # These suffixes cover TS-DDR, SDDP, LP-relaxed SDDP, and baselines. + timing_suffixes = ["dr_timing", "sddp_timing", "sddp_lp_timing", "baseline_timing"] + + # Accumulate all timing CSVs that exist for the requested tags. + rows = DataFrame[] for tag in tags - for f in ["dr_timing", "sddp_timing", "sddp_lp_timing", "baseline_timing"] - path = joinpath(result_dir, "$(tag)_$(f).csv") - isfile(path) && push!(dfs, CSV.read(path, DataFrame)) + for suffix in timing_suffixes + path = joinpath(RESULT_DIR, "$(tag)_$(suffix).csv") + isfile(path) && push!(rows, CSV.read(path, DataFrame)) end end - df = vcat(dfs..., cols=:union) - return Dict(row.method => row for row in eachrow(df)) + + # A missing timing row is a data-generation error, so keep loading strict. + combined = vcat(rows...; cols = :union) + + # Convert DataFrame rows to a small typed dictionary. + return Dict( + String(row.method) => TimingRecord(row.fit_seconds, row.eval_seconds) + for row in eachrow(combined) + ) end -# ═══════════════════════════════════════════════════════════════════════════════ -# Print comparison table -# ═══════════════════════════════════════════════════════════════════════════════ -function print_table(entries, timing, sddp_bound; ref_idx=1) - ref_mean = mean(entries[ref_idx][2]) - println("SDDP LP bound: $(@sprintf("%.1f", sddp_bound))") +""" + print_table(results, timing, bound; reference_index = 1) + +Print a Markdown comparison table. + +# Arguments +- `results::Vector{MethodResult}`: cost vectors and display names. +- `timing::Dict{String,TimingRecord}`: timing rows by method name. +- `bound::Real`: SDDP lower bound printed above the table. +- `reference_index::Integer`: result used for percent-gap comparisons. + +# Examples +```julia +print_table(results, timing, bound) +``` +""" +function print_table( + results::Vector{MethodResult}, + timing::Dict{String,TimingRecord}, + bound::Real; + reference_index::Integer = 1, +) + # The reference method defines the "vs" column. + reference = results[reference_index] + + println("SDDP LP bound: $(@sprintf("%.1f", bound))") println() - println("| Method | N | Mean cost | Std | 95% CI | vs $(entries[ref_idx][1]) | Fit (s) | Eval (s) |") + println( + "| Method | N | Mean cost | Std | 95% CI | " * + "vs $(reference.name) | Fit (s) | Eval (s) |", + ) println("|:-------------------------|----:|----------:|------:|-------:|----------:|--------:|---------:|") - for (name, costs) in entries - timing_key = startswith(name, "Base-stock") ? "Base-stock" : name - row = timing[timing_key] - gap = (mean(costs) - ref_mean) / ref_mean * 100 - @printf("| %-24s | %3d | %9.1f | %5.1f | %6.1f | %+9.1f%% | %7.1f | %8.4f |\n", - name, length(costs), mean(costs), std(costs), ci95(costs), - gap, row.fit_seconds, row.eval_seconds) + + for result in results + # Timing rows use stable method labels. + row = timing[timing_key(result.name)] + + # Compute all statistics once so the table row is easy to inspect. + mean_cost = mean(result.costs) + std_cost = std(result.costs) + confidence = ci95(result.costs) + gap = percent_gap(result.costs, reference.costs) + + @printf( + "| %-24s | %3d | %9.1f | %5.1f | %6.1f | %+9.1f%% | %7.1f | %8.4f |\n", + result.name, + length(result.costs), + mean_cost, + std_cost, + confidence, + gap, + row.fit_seconds, + row.eval_seconds, + ) end + println() + + return nothing end -# ═══════════════════════════════════════════════════════════════════════════════ -# Compact 2×2 plot -# ═══════════════════════════════════════════════════════════════════════════════ -function make_plots(tag, entries, S_star, title_suffix; sddp_tag=tag, dr_tag=tag) - time_cols = [Symbol("t$i") for i in 0:INVENTORY_T] - - # (1,1) SDDP learning curve - sddp_log = CSV.read(joinpath(result_dir, "$(sddp_tag)_sddp_training_log.csv"), DataFrame) - valid = filter(row -> !ismissing(row.bound) && isfinite(row.bound), sddp_log) - p1 = plot(valid.iteration, valid.bound; - xlabel="Iteration", ylabel="Cost", - title="SDDP learning curve", label="LP bound", - linewidth=2, color=:darkgreen, legend=:right) - if "simulation_value" in names(valid) - sim_rows = filter(row -> !ismissing(row.simulation_value) && isfinite(row.simulation_value), valid) - if nrow(sim_rows) > 0 - plot!(p1, sim_rows.iteration, sim_rows.simulation_value; - label="Simulation", linewidth=2, color=:darkorange) - end - end +""" + short_method_label(name::AbstractString, base_stock_level::Real) -> String - # (1,2) TS-DDR training curve - curve_df = CSV.read(joinpath(result_dir, "$(dr_tag)_training_curve.csv"), DataFrame) - p2 = plot(curve_df.batch, curve_df.loss; - xlabel="Batch", ylabel="Mean operational cost", - title="TS-DDR training curve", legend=false, - linewidth=2, color=:steelblue) - - # (2,1) Net-inventory trajectories - dr_traj = CSV.read(joinpath(result_dir, "$(dr_tag)_dr_trajectories.csv"), DataFrame) - bs_tag_file = sddp_tag # baselines share the sddp tag prefix - bs_traj = CSV.read(joinpath(result_dir, "$(bs_tag_file)_basestock_trajectories.csv"), DataFrame) - n_show = min(20, nrow(dr_traj), nrow(bs_traj)) - p3 = plot(; xlabel="Period", ylabel="Net inventory", - title="Inventory trajectories", legend=:topright) - for s in 1:n_show - plot!(p3, 0:INVENTORY_T, Vector(dr_traj[s, time_cols]); - color=:steelblue, alpha=0.35, label=s == 1 ? "TS-DDR" : false) - end - for s in 1:n_show - plot!(p3, 0:INVENTORY_T, Vector(bs_traj[s, time_cols]); - color=:darkorange, alpha=0.35, label=s == 1 ? "Base-stock" : false) - end - hline!(p3, [0.0]; linestyle=:dash, color=:black, label="Zero") +Return compact labels for plot axes. + +# Arguments +- `name::AbstractString`: full table label. +- `base_stock_level::Real`: base-stock order-up-to level. - # (2,2) Cost distribution boxplot - labels = [e[1] for e in entries] - short_labels = replace.(labels, +# Examples +```julia +label = short_method_label("TS-DDR (FixedDiscrete)", 160.0) +``` +""" +function short_method_label(name::AbstractString, base_stock_level::Real) + # Keep repeated labels short enough for the violin plot axis. + startswith(name, "Base-stock") && + return "Base-stock\n(S*=$(round(Int, base_stock_level)))" + + replacements = Dict( "TS-DDR (FixedDiscrete)" => "TS-DDR\n(FixedDisc)", "TS-DDR (ContRelax)" => "TS-DDR\n(ContRelax)", + "TS-DDR (MixedGrad)" => "TS-DDR\n(MixedGrad)", "TS-DDR (trained)" => "TS-DDR", "SDDP (PAR)" => "SDDP", "SDDP (MIP fwd)" => "SDDP\n(MIP fwd)", "SDDP (LP relax)" => "SDDP\n(LP relax)", - "Random (untrained)" => "Random") - short_labels = [startswith(l, "Base-stock") ? "Base-stock\n(S*=$(round(Int,S_star)))" : l for l in short_labels] - data = [e[2] for e in entries] - n_methods = length(entries) - method_colors = if n_methods == 4 - [:steelblue, :darkgreen, :gold, :gray] - elseif n_methods == 5 - [:steelblue, :royalblue, :darkgreen, :gold, :gray] - elseif n_methods == 6 - [:steelblue, :royalblue, :darkgreen, :seagreen, :gold, :gray] - else - palette(:auto, n_methods) + "Random (untrained)" => "Random", + ) + + return get(replacements, String(name), String(name)) +end + +""" + method_colors(num_methods::Integer) + +Return stable plot colors for the number of compared methods. + +# Arguments +- `num_methods::Integer`: number of methods in the comparison. + +# Examples +```julia +colors = method_colors(length(results)) +``` +""" +function method_colors(num_methods::Integer) + # Keep colors stable between documentation rebuilds. + if num_methods == 4 + return [:steelblue, :darkgreen, :gold, :gray] + elseif num_methods == 5 + return [:steelblue, :royalblue, :darkgreen, :gold, :gray] + elseif num_methods == 6 + return [:steelblue, :royalblue, :darkgreen, :seagreen, :gold, :gray] + elseif num_methods == 7 + return [:steelblue, :royalblue, :darkorange, :darkgreen, :seagreen, :gold, :gray] + end + + return palette(:auto, num_methods) +end + +""" + plot_sddp_learning_curve(tag::AbstractString) + +Create the SDDP training-bound subplot. + +# Arguments +- `tag::AbstractString`: result prefix used by SDDP output files. + +# Examples +```julia +plot_sddp_learning_curve("integer") +``` +""" +function plot_sddp_learning_curve(tag::AbstractString) + # SDDP logs may include failed or missing simulation rows. + log = CSV.read(joinpath(RESULT_DIR, "$(tag)_sddp_training_log.csv"), DataFrame) + + # Log-scale plots require strictly positive finite values. + valid_bound_rows = filter( + row -> !ismissing(row.bound) && isfinite(row.bound) && row.bound > 0, + log, + ) + + plot_handle = plot( + valid_bound_rows.iteration, + valid_bound_rows.bound; + xlabel = "Iteration", + ylabel = "Cost (log scale)", + title = "SDDP learning curve", + label = "LP bound", + linewidth = 2, + color = :darkgreen, + legend = :right, + yscale = :log10, + ) + + if "simulation_value" in names(valid_bound_rows) + # Simulation values are optional and may be recorded sparsely. + valid_sim_rows = filter( + row -> !ismissing(row.simulation_value) && + isfinite(row.simulation_value) && + row.simulation_value > 0, + valid_bound_rows, + ) + + if nrow(valid_sim_rows) > 0 + plot!( + plot_handle, + valid_sim_rows.iteration, + valid_sim_rows.simulation_value; + label = "Simulation", + linewidth = 2, + color = :darkorange, + ) + end + end + + return plot_handle +end + +""" + plot_training_curves(curve_specs) + +Create the TS-DDR training-curve subplot. + +# Arguments +- `curve_specs`: tuples `(tag, label, color)` for training-curve CSV files. + +# Examples +```julia +plot_training_curves([("integer", "FixedDiscrete", :steelblue)]) +``` +""" +function plot_training_curves(curve_specs) + # Start with an empty plot so optional curves can be skipped cleanly. + plot_handle = plot(; + xlabel = "Batch", + ylabel = "Mean operational cost", + title = "TS-DDR training curves", + legend = :topright, + ) + + for (tag, label, color) in curve_specs + # Optional variants should not break the plot. + path = joinpath(RESULT_DIR, "$(tag)_training_curve.csv") + isfile(path) || continue + + # Training curves store one loss per SGD batch. + curve = CSV.read(path, DataFrame) + + plot!( + plot_handle, + curve.batch, + curve.loss; + label = label, + linewidth = 2, + color = color, + ) + end + + return plot_handle +end + +""" + plot_inventory_trajectories(dr_tag, baseline_tag) + +Create the inventory-trajectory subplot. + +# Arguments +- `dr_tag::AbstractString`: TS-DDR trajectory prefix. +- `baseline_tag::AbstractString`: baseline trajectory prefix. + +# Examples +```julia +plot_inventory_trajectories("integer", "integer") +``` +""" +function plot_inventory_trajectories(dr_tag, baseline_tag) + # Trajectory files have columns t0, t1, ..., tT. + time_columns = [Symbol("t$(period)") for period in 0:INVENTORY_T] + + # Load TS-DDR and base-stock trajectories. + dr_paths = CSV.read(joinpath(RESULT_DIR, "$(dr_tag)_dr_trajectories.csv"), DataFrame) + base_stock_paths = CSV.read( + joinpath(RESULT_DIR, "$(baseline_tag)_basestock_trajectories.csv"), + DataFrame, + ) + + # Plot a readable subset rather than all trajectories. + num_paths = min(20, nrow(dr_paths), nrow(base_stock_paths)) + + plot_handle = plot(; + xlabel = "Period", + ylabel = "Net inventory", + title = "Inventory trajectories", + legend = :topright, + ) + + for row in 1:num_paths + plot!( + plot_handle, + 0:INVENTORY_T, + Vector(dr_paths[row, time_columns]); + color = :steelblue, + alpha = 0.35, + label = row == 1 ? "TS-DDR" : false, + ) end - p4 = plot(; xlabel="Method", ylabel="Operational cost", - title="Cost comparison", legend=false) - for i in 1:n_methods - violin!(p4, fill(short_labels[i], length(data[i])), data[i]; - fillcolor=method_colors[i], linecolor=:black, fillalpha=0.7) + + for row in 1:num_paths + plot!( + plot_handle, + 0:INVENTORY_T, + Vector(base_stock_paths[row, time_columns]); + color = :darkorange, + alpha = 0.35, + label = row == 1 ? "Base-stock" : false, + ) + end + + # Zero inventory separates holding from backlog. + hline!(plot_handle, [0.0]; linestyle = :dash, color = :black, label = "Zero") + + return plot_handle +end + +""" + plot_cost_distribution(results, base_stock_level) + +Create the cost-distribution subplot. + +# Arguments +- `results::Vector{MethodResult}`: methods to compare. +- `base_stock_level::Real`: base-stock order-up-to level. + +# Examples +```julia +plot_cost_distribution(results, 160.0) +``` +""" +function plot_cost_distribution(results::Vector{MethodResult}, base_stock_level::Real) + # Convert table labels to compact axis labels. + labels = [short_method_label(result.name, base_stock_level) for result in results] + + # Keep method colors stable across plot rebuilds. + colors = method_colors(length(results)) + + plot_handle = plot(; + xlabel = "Method", + ylabel = "Operational cost", + title = "Cost comparison", + legend = false, + ) + + for index in eachindex(results) + violin!( + plot_handle, + fill(labels[index], length(results[index].costs)), + results[index].costs; + fillcolor = colors[index], + linecolor = :black, + fillalpha = 0.7, + ) end + return plot_handle +end + +""" + make_summary_plot(problem; kwargs...) + +Build the 2x2 documentation figure for one problem variant. + +# Arguments +- `problem::AbstractString`: figure title. +- `results::Vector{MethodResult}`: compared methods. +- `base_stock_level::Real`: base-stock order-up-to level. +- `sddp_tag::AbstractString`: SDDP result prefix. +- `dr_tag::AbstractString`: TS-DDR trajectory prefix. +- `curve_specs`: training-curve plot specifications. + +# Examples +```julia +plot = make_summary_plot( + "Integer problem", + results = integer_results, + base_stock_level = 160.0, + sddp_tag = "integer", + dr_tag = "integer", + curve_specs = [("integer", "FixedDiscrete", :steelblue)], +) +``` +""" +function make_summary_plot( + problem::AbstractString; + results::Vector{MethodResult}, + base_stock_level::Real, + sddp_tag::AbstractString, + dr_tag::AbstractString, + curve_specs, +) + # Build each panel with a single responsibility. + sddp_panel = plot_sddp_learning_curve(sddp_tag) + training_panel = plot_training_curves(curve_specs) + trajectory_panel = plot_inventory_trajectories(dr_tag, sddp_tag) + distribution_panel = plot_cost_distribution(results, base_stock_level) + + # Use a fixed layout so generated docs are stable. layout = @layout [a b; c d] - combined = plot(p1, p2, p3, p4; layout=layout, size=(1100, 800), - plot_title=title_suffix, plot_titlefontsize=12, margin=5Plots.mm) - return combined -end - -# ═══════════════════════════════════════════════════════════════════════════════ -# Demand process plot (shared) -# ═══════════════════════════════════════════════════════════════════════════════ -periods = 1:INVENTORY_T -demand_mid = (D_LO .+ D_HI) ./ 2 -plt_demand = plot(periods, demand_mid; - xlabel="Period", ylabel="Demand", - title="Latent demand process (random phase + regime + AR)", - label="Nominal seasonal center", linewidth=2, linestyle=:dash, color=:purple) -rng_plot = MersenneTwister(1234) -for k in 1:24 - path = sample_inventory_demand_path(rng_plot) - plot!(plt_demand, periods, path; color=:gray, alpha=0.28, label=false) -end -savefig(plt_demand, joinpath(docs_dir, "inventory_demand_process.png")) -println("Saved inventory_demand_process.png") - -# ═══════════════════════════════════════════════════════════════════════════════ -# Section 1: Relaxed -# ═══════════════════════════════════════════════════════════════════════════════ -println("\n" * "=" ^ 60) -println("SECTION 1: Relaxed (continuous) comparison") -println("=" ^ 60) - -r_dr = load_costs("relaxed", "dr") -r_sddp = load_costs("relaxed", "sddp") -r_bs = load_costs("relaxed", "basestock") -r_rand = load_costs("relaxed", "random") -r_timing = load_timing(["relaxed"]) -r_S = parse(Float64, strip(read(joinpath(result_dir, "relaxed_basestock_S_star.txt"), String))) -r_bound = parse(Float64, strip(read(joinpath(result_dir, "relaxed_sddp_bound.txt"), String))) - -r_entries = [ - ("TS-DDR (trained)", r_dr), - ("SDDP (PAR)", r_sddp), - ("Base-stock (S*=$(round(Int, r_S)))", r_bs), - ("Random (untrained)", r_rand), -] -print_table(r_entries, r_timing, r_bound) - -plt_relaxed = make_plots("relaxed", r_entries, r_S, "Relaxed (continuous) problem") -savefig(plt_relaxed, joinpath(docs_dir, "inventory_relaxed_results.png")) -println("Saved inventory_relaxed_results.png") - -# ═══════════════════════════════════════════════════════════════════════════════ -# Section 2: Integer -# ═══════════════════════════════════════════════════════════════════════════════ -println("\n" * "=" ^ 60) -println("SECTION 2: Integer (MIP) comparison") -println("=" ^ 60) - -i_dr = load_costs("integer", "dr") -i_dr_cr = load_costs("integer_cr", "dr") -i_sddp = load_costs("integer", "sddp") -i_sddp_lp = load_costs("integer", "sddp_lp") -i_bs = load_costs("integer", "basestock") -i_rand = load_costs("integer", "random") -i_timing = load_timing(["integer", "integer_cr"]) -i_S = parse(Float64, strip(read(joinpath(result_dir, "integer_basestock_S_star.txt"), String))) -i_bound = parse(Float64, strip(read(joinpath(result_dir, "integer_sddp_bound.txt"), String))) - -i_entries = [ - ("TS-DDR (FixedDiscrete)", i_dr), - ("TS-DDR (ContRelax)", i_dr_cr), - ("SDDP (MIP fwd)", i_sddp), - ("SDDP (LP relax)", i_sddp_lp), - ("Base-stock (S*=$(round(Int, i_S)))", i_bs), - ("Random (untrained)", i_rand), -] -print_table(i_entries, i_timing, i_bound) - -plt_integer = make_plots("integer", i_entries, i_S, "Integer (MIP) problem"; - sddp_tag="integer", dr_tag="integer") -println(" SDDP (LP relax) vs SDDP (MIP fwd): LP=$(round(mean(i_sddp_lp),digits=1)), MIP=$(round(mean(i_sddp),digits=1))") -savefig(plt_integer, joinpath(docs_dir, "inventory_integer_results.png")) -println("Saved inventory_integer_results.png") - -println("\nAll assets saved to: $(relpath(docs_dir, example_dir))") + + return plot( + sddp_panel, + training_panel, + trajectory_panel, + distribution_panel; + layout = layout, + size = (1100, 800), + plot_title = problem, + plot_titlefontsize = 12, + margin = 5Plots.mm, + ) +end + +""" + plot_demand_process() -> Nothing + +Regenerate the demand-process documentation figure. + +# Examples +```julia +plot_demand_process() +``` +""" +function plot_demand_process() + # Period numbers run from 1 to T. + periods = 1:INVENTORY_T + + # The nominal seasonal center is the midpoint of the demand band. + demand_midpoint = (D_LO .+ D_HI) ./ 2 + + plot_handle = plot( + periods, + demand_midpoint; + xlabel = "Period", + ylabel = "Demand", + title = "Latent demand process (random phase + regime + AR)", + label = "Nominal seasonal center", + linewidth = 2, + linestyle = :dash, + color = :purple, + ) + + # Use a fixed RNG so the figure is reproducible. + rng = MersenneTwister(1234) + + for _ in 1:24 + # Each path has its own hidden phase, regime, and shock sequence. + path = sample_inventory_demand_path(rng) + + plot!( + plot_handle, + periods, + path; + color = :gray, + alpha = 0.28, + label = false, + ) + end + + savefig(plot_handle, joinpath(DOCS_ASSET_DIR, "inventory_demand_process.png")) + println("Saved inventory_demand_process.png") + + return nothing +end + +""" + relaxed_results() -> (results, timing, base_stock_level, bound) + +Load all relaxed-problem comparison data. + +# Examples +```julia +results, timing, base_stock_level, bound = relaxed_results() +``` +""" +function relaxed_results() + # Load all relaxed operational-cost samples. + dr_costs = load_costs("relaxed", "dr") + sddp_costs = load_costs("relaxed", "sddp") + base_stock_costs = load_costs("relaxed", "basestock") + random_costs = load_costs("relaxed", "random") + + # Load scalar baseline metadata. + base_stock_level = read_scalar(joinpath(RESULT_DIR, "relaxed_basestock_S_star.txt")) + sddp_bound = read_scalar(joinpath(RESULT_DIR, "relaxed_sddp_bound.txt")) + + # Build display records in table order. + results = [ + MethodResult("TS-DDR (trained)", dr_costs), + MethodResult("SDDP (PAR)", sddp_costs), + MethodResult("Base-stock (S*=$(round(Int, base_stock_level)))", base_stock_costs), + MethodResult("Random (untrained)", random_costs), + ] + + return results, load_timing(["relaxed"]), base_stock_level, sddp_bound +end + +""" + integer_results() -> (results, timing, base_stock_level, bound) + +Load all integer-problem comparison data. + +# Examples +```julia +results, timing, base_stock_level, bound = integer_results() +``` +""" +function integer_results() + # Load required integer operational-cost samples. + fixed_discrete_costs = load_costs("integer", "dr") + continuous_relaxation_costs = load_costs("integer_cr", "dr") + sddp_mip_forward_costs = load_costs("integer", "sddp") + sddp_lp_relaxation_costs = load_costs("integer", "sddp_lp") + base_stock_costs = load_costs("integer", "basestock") + random_costs = load_costs("integer", "random") + + # The mixed-gradient variant is optional because it may be expensive to run. + mixed_gradient_costs = optional_costs("integer_sf", "dr") + + # Load scalar baseline metadata. + base_stock_level = read_scalar(joinpath(RESULT_DIR, "integer_basestock_S_star.txt")) + sddp_bound = read_scalar(joinpath(RESULT_DIR, "integer_sddp_bound.txt")) + + # Build the mandatory method list first. + results = [ + MethodResult("TS-DDR (FixedDiscrete)", fixed_discrete_costs), + MethodResult("TS-DDR (ContRelax)", continuous_relaxation_costs), + MethodResult("SDDP (MIP fwd)", sddp_mip_forward_costs), + MethodResult("SDDP (LP relax)", sddp_lp_relaxation_costs), + MethodResult("Base-stock (S*=$(round(Int, base_stock_level)))", base_stock_costs), + MethodResult("Random (untrained)", random_costs), + ] + + if !isnothing(mixed_gradient_costs) + # Insert mixed gradients after the two TS-DDR dual-only variants. + insert!(results, 3, MethodResult("TS-DDR (MixedGrad)", mixed_gradient_costs)) + end + + # Include optional timing tags only when their result file exists. + timing_tags = ["integer", "integer_cr"] + isfile(joinpath(RESULT_DIR, "integer_sf_dr_timing.csv")) && + push!(timing_tags, "integer_sf") + + return results, load_timing(timing_tags), base_stock_level, sddp_bound +end + +""" + integer_curve_specs() + +Return training-curve plot specs for the integer comparison. + +# Examples +```julia +curves = integer_curve_specs() +``` +""" +function integer_curve_specs() + # FixedDiscrete and ContRelax are always part of the integer benchmark. + specs = [ + ("integer", "FixedDiscrete", :steelblue), + ("integer_cr", "ContRelax", :royalblue), + ] + + if isfile(joinpath(RESULT_DIR, "integer_sf_training_curve.csv")) + # MixedGrad appears only when that expensive variant has been run. + push!(specs, ("integer_sf", "MixedGrad", :darkorange)) + end + + return specs +end + +""" + run_relaxed_comparison() -> Nothing + +Print and plot the relaxed continuous comparison. + +# Examples +```julia +run_relaxed_comparison() +``` +""" +function run_relaxed_comparison() + println("\n" * "=" ^ 60) + println("SECTION 1: Relaxed (continuous) comparison") + println("=" ^ 60) + + # Load data, print table, and save the documentation figure. + results, timing, base_stock_level, bound = relaxed_results() + print_table(results, timing, bound) + + figure = make_summary_plot( + "Relaxed (continuous) problem"; + results = results, + base_stock_level = base_stock_level, + sddp_tag = "relaxed", + dr_tag = "relaxed", + curve_specs = [("relaxed", "TS-DDR", :steelblue)], + ) + + savefig(figure, joinpath(DOCS_ASSET_DIR, "inventory_relaxed_results.png")) + println("Saved inventory_relaxed_results.png") + + return nothing +end + +""" + run_integer_comparison() -> Nothing + +Print and plot the integer MIP comparison. + +# Examples +```julia +run_integer_comparison() +``` +""" +function run_integer_comparison() + println("\n" * "=" ^ 60) + println("SECTION 2: Integer (MIP) comparison") + println("=" ^ 60) + + # Load data, print table, and save the documentation figure. + results, timing, base_stock_level, bound = integer_results() + print_table(results, timing, bound) + + figure = make_summary_plot( + "Integer (MIP) problem"; + results = results, + base_stock_level = base_stock_level, + sddp_tag = "integer", + dr_tag = "integer", + curve_specs = integer_curve_specs(), + ) + + savefig(figure, joinpath(DOCS_ASSET_DIR, "inventory_integer_results.png")) + println("Saved inventory_integer_results.png") + + return nothing +end + +""" + main() -> Nothing + +Run every inventory-result comparison. + +# Examples +```julia +main() +``` +""" +function main() + # Regenerate the demand-process figure before method comparisons. + plot_demand_process() + + # Print and plot the relaxed benchmark. + run_relaxed_comparison() + + # Print and plot the integer benchmark. + run_integer_comparison() + + println("\nAll assets saved to: $(relpath(DOCS_ASSET_DIR, @__DIR__))") + + return nothing +end + +# Run only when invoked as a script. +if abspath(PROGRAM_FILE) == @__FILE__ + main() +end diff --git a/examples/inventory_control/train_dr_inventory.jl b/examples/inventory_control/train_dr_inventory.jl index eb2c387..8599e12 100644 --- a/examples/inventory_control/train_dr_inventory.jl +++ b/examples/inventory_control/train_dr_inventory.jl @@ -1,207 +1,813 @@ """ -Train TS-DDR policies for the inventory control problem. +Train TS-DDR policies for the inventory-control benchmark. -Trains two policies: -1. Relaxed (continuous LP subproblems, standard LP duals) -2. Integer (MIP subproblems, FixedDiscreteIntegerStrategy) — uses more - batches and lower learning rate for stable convergence. +The benchmark compares four target-state decision-rule variants: + +1. relaxed continuous subproblems with ordinary LP duals; +2. integer subproblems with fixed-discrete local duals; +3. integer subproblems with continuous-relaxation duals; and +4. integer subproblems with fixed-discrete duals plus score-function rollouts. """ +using CSV +using DataFrames using DecisionRules -using JuMP using Flux using JLD2 -using CSV, DataFrames -using Random, Statistics +using JuMP +using Random +using Statistics include(joinpath(@__DIR__, "build_inventory_problem.jl")) +# The script keeps generated models and CSV files out of the source directory. +const EXAMPLE_DIR = @__DIR__ +const MODEL_DIR = joinpath(EXAMPLE_DIR, "models") +const RESULT_DIR = joinpath(EXAMPLE_DIR, "results") + +# Create output directories before any training run tries to write into them. +mkpath(MODEL_DIR) +mkpath(RESULT_DIR) + +# Use one fixed training sample size for every TS-DDR variant. const N_TRAIN_SCENARIOS = 50 -const N_TEST = 300 - -example_dir = @__DIR__ -model_dir = joinpath(example_dir, "models") -result_dir = joinpath(example_dir, "results") -mkpath(model_dir) -mkpath(result_dir) - -# ═══════════════════════════════════════════════════════════════════════════════ -# Rollout helper -# ═══════════════════════════════════════════════════════════════════════════════ -function rollout_policy(policy, subproblems, spi, spo, unc_eval, init_state; - n_test=N_TEST, seed=555, integer=true) + +# Use one held-out evaluation size for every reported cost distribution. +const N_TEST_SCENARIOS = 300 + +""" + InventoryTrainingVariant + +Configuration for one TS-DDR inventory training run. + +Mathematically, every variant trains a policy ``\\pi_\\theta`` by stochastic +gradient descent on sampled deterministic-equivalent objectives +``Q(w; \\theta)``. The fields choose the model family and the gradient estimator: + +- `integer`: whether the JuMP model contains binary setup variables ``z_t``; +- `training_integer_strategy`: how local dual information is read for + ``\\nabla_\\theta Q(w; \\theta)`` when the model is mixed-integer; +- `score_function`: optional Monte Carlo correction using perturbed target + rollouts. + +# Fields +- `tag::String`: prefix used for saved models and CSV files. +- `integer::Bool`: whether to build the fixed-cost MIP formulation. +- `num_batches::Int`: number of SGD updates. +- `train_per_batch::Int`: sampled trajectories per SGD update. +- `learning_rate::Float64`: Adam learning rate. +- `warmup_batches::Int`: last batch of the low target-penalty phase. +- `training_integer_strategy::AbstractIntegerStrategy`: dual-path strategy. +- `score_function::Union{Nothing,ScoreFunctionConfig,ScoreFunctionSchedule}`: + optional score-function estimator. + +# Examples +```julia +variant = InventoryTrainingVariant( + "integer", + true, + 800, + 10, + 8.0e-4, + 120, + FixedDiscreteIntegerStrategy(), + nothing, +) +``` +""" +struct InventoryTrainingVariant + tag::String + integer::Bool + num_batches::Int + train_per_batch::Int + learning_rate::Float64 + warmup_batches::Int + training_integer_strategy::AbstractIntegerStrategy + score_function::Union{Nothing,ScoreFunctionConfig,ScoreFunctionSchedule} +end + +""" + penalty_schedule_for(variant::InventoryTrainingVariant) + +Return the two-phase target-penalty schedule used by one inventory variant. + +The target penalty is multiplied by `0.4` during warmup and by `1.0` +afterward: + +```math +m_k = +\\begin{cases} +0.4, & 1 \\le k \\le k_{warm}, \\\\ +1.0, & k_{warm} < k \\le K. +\\end{cases} +``` + +# Arguments +- `variant::InventoryTrainingVariant`: training configuration. + +# Examples +```julia +schedule = penalty_schedule_for(variant) +``` +""" +function penalty_schedule_for(variant::InventoryTrainingVariant) + # The first tuple covers the gentler warmup phase. + warmup_phase = (1, variant.warmup_batches, 0.4) + + # The second tuple restores the nominal target penalty. + full_penalty_phase = ( + variant.warmup_batches + 1, + variant.num_batches, + 1.0, + ) + + return [warmup_phase, full_penalty_phase] +end + +""" + method_label(variant::InventoryTrainingVariant) -> String + +Return the table label for one TS-DDR variant. + +# Arguments +- `variant::InventoryTrainingVariant`: training configuration. + +# Examples +```julia +label = method_label(variant) +``` +""" +function method_label(variant::InventoryTrainingVariant) + # Score-function variants are named by the mixed-gradient estimator. + !isnothing(variant.score_function) && return "TS-DDR (MixedGrad)" + + # ContinuousRelaxation means the dual path solves an LP relaxation. + variant.training_integer_strategy isa ContinuousRelaxationIntegerStrategy && + return "TS-DDR (ContRelax)" + + # FixedDiscrete means the dual path fixes the MIP incumbent, then reads LP duals. + variant.training_integer_strategy isa FixedDiscreteIntegerStrategy && + return "TS-DDR (FixedDiscrete)" + + return "TS-DDR (trained)" +end + +""" + operational_stage_cost(model::JuMP.Model, integer::Bool) -> Float64 + +Return the realized inventory cost of one solved stage model. + +For the integer formulation, the operational cost is + +```math +K z_t + c q_t + h \\max(s_t,0) + p \\max(-s_t,0). +``` + +For the relaxed formulation, the setup term ``K z_t`` is absent. + +# Arguments +- `model::JuMP.Model`: solved inventory stage model. +- `integer::Bool`: whether `model` contains the binary setup variable `z`. + +# Examples +```julia +cost = operational_stage_cost(stage_model, true) +``` +""" +function operational_stage_cost(model::JuMP.Model, integer::Bool) + # The order quantity is common to both formulations. + order_quantity = value(model[:q]) + + # Net inventory after demand determines holding or backlog cost. + next_inventory = value(model[:s_out]) + + # Positive inventory pays holding cost. + holding_cost = INVENTORY_H * max(next_inventory, 0.0) + + # Negative inventory pays backlog cost. + backlog_cost = INVENTORY_P * max(-next_inventory, 0.0) + + # Continuous formulations pay only variable ordering, holding, and backlog. + variable_cost = INVENTORY_C * order_quantity + holding_cost + backlog_cost + + if integer + # MIP solves return an integral setup value; round removes solver noise. + setup_value = round(value(model[:z])) + + return INVENTORY_K * setup_value + variable_cost + end + + return variable_cost +end + +""" + rollout_policy(policy, subproblems, state_params_in, state_params_out, + uncertainty_sampler, initial_state; kwargs...) + +Evaluate a trained policy by stage-wise rollout on held-out trajectories. + +At each stage the policy proposes a target state. The stage model then solves + +```math +\\min f_t(x_t,y_t) + \\lambda |x_t^{mid} - \\hat{x}_t| +``` + +subject to the inventory transition and capacity constraints. Only the +operational term ``f_t`` is reported as cost, because target slack is a training +device rather than a deployed cost. + +# Arguments +- `policy`: Flux-compatible target-state policy. +- `subproblems`: one solved-and-reused JuMP model per stage. +- `state_params_in`: input-state parameters for each stage. +- `state_params_out`: `(target_parameter, realized_state_variable)` pairs. +- `uncertainty_sampler`: sampler for held-out demand trajectories. +- `initial_state`: inventory state entering stage 1. + +# Keywords +- `num_scenarios::Int`: number of held-out rollouts. +- `seed::Int`: random seed for evaluation trajectories. +- `integer::Bool`: whether to use the MIP operational cost formula. + +# Examples +```julia +costs, inventory, setup, order = rollout_policy( + policy, + subproblems, + state_params_in, + state_params_out, + uncertainty_sampler, + initial_state; + integer = true, +) +``` +""" +function rollout_policy( + policy, + subproblems, + state_params_in, + state_params_out, + uncertainty_sampler, + initial_state; + num_scenarios::Int = N_TEST_SCENARIOS, + seed::Int = 555, + integer::Bool = true, +) + # Fix the evaluation sample so variants see the same demand distribution. Random.seed!(seed) - traj_inv = Matrix{Float64}(undef, n_test, INVENTORY_T + 1) - traj_z = Matrix{Float64}(undef, n_test, INVENTORY_T) - traj_q = Matrix{Float64}(undef, n_test, INVENTORY_T) - op_costs = Vector{Float64}(undef, n_test) - - for s in 1:n_test - unc_sample = sample(unc_eval) - state = Float64.(init_state) - traj_inv[s, 1] = state[1] - op_costs[s] = 0.0 - - for t in 1:INVENTORY_T - d_val = unc_sample[t][1][2] - target = Float64.(policy(Float32[d_val, state...])) - - for i in eachindex(spi[t]) - set_parameter_value(spi[t][i], state[i]) - end - for (param, value) in unc_sample[t] - set_parameter_value(param, value) + + # Store net-inventory trajectories, including the initial inventory at t=0. + inventory_paths = Matrix{Float64}(undef, num_scenarios, INVENTORY_T + 1) + + # Store setup indicators for integer runs and order indicators for relaxed runs. + setup_paths = Matrix{Float64}(undef, num_scenarios, INVENTORY_T) + + # Store order quantities for diagnostics. + order_paths = Matrix{Float64}(undef, num_scenarios, INVENTORY_T) + + # Store operational cost for each scenario. + operational_costs = Vector{Float64}(undef, num_scenarios) + + for scenario in 1:num_scenarios + # Draw one demand path for this rollout. + uncertainty_sample = sample(uncertainty_sampler) + + # Start from the benchmark initial state. + state = Float64.(initial_state) + + # Record inventory at t=0. + inventory_paths[scenario, 1] = state[1] + + # Reset the scenario cost accumulator. + operational_costs[scenario] = 0.0 + + for stage in 1:INVENTORY_T + # Demand is the single uncertainty value in this inventory model. + demand_value = uncertainty_sample[stage][1][2] + + # The policy maps observed demand plus current state to a target state. + target = Float64.(policy(Float32[demand_value, state...])) + + # Input-state parameters receive the realized state entering this stage. + for index in eachindex(state_params_in[stage]) + set_parameter_value(state_params_in[stage][index], state[index]) end - for i in eachindex(spo[t]) - set_parameter_value(spo[t][i][1], target[i]) + + # Uncertainty parameters receive this stage's realized demand. + for (parameter, value) in uncertainty_sample[stage] + set_parameter_value(parameter, value) end - optimize!(subproblems[t]) - - q_val = value(subproblems[t][:q]) - s_val = value(subproblems[t][:s_out]) - - if integer - z_val = round(value(subproblems[t][:z])) - op_costs[s] += INVENTORY_K * z_val + INVENTORY_C * q_val + - INVENTORY_H * max(s_val, 0.0) + - INVENTORY_P * max(-s_val, 0.0) - traj_z[s, t] = z_val - else - op_costs[s] += INVENTORY_C * q_val + - INVENTORY_H * max(s_val, 0.0) + - INVENTORY_P * max(-s_val, 0.0) - traj_z[s, t] = q_val > 1e-7 ? 1.0 : 0.0 + + # Target parameters receive the policy output. + for index in eachindex(state_params_out[stage]) + set_parameter_value(state_params_out[stage][index][1], target[index]) end - traj_q[s, t] = q_val - traj_inv[s, t+1] = s_val - state = [s_val, d_val, state[2]] + + # Solve the deployment stage exactly as modeled. + optimize!(subproblems[stage]) + + # Read decisions and realized inventory from the solved stage. + order_quantity = value(subproblems[stage][:q]) + next_inventory = value(subproblems[stage][:s_out]) + + # Add the operational cost, excluding target-deficit penalty. + operational_costs[scenario] += + operational_stage_cost(subproblems[stage], integer) + + # Store setup or order activity for later diagnostics. + setup_paths[scenario, stage] = integer ? + round(value(subproblems[stage][:z])) : + Float64(order_quantity > 1.0e-7) + + # Store order quantity and realized inventory trajectory. + order_paths[scenario, stage] = order_quantity + inventory_paths[scenario, stage + 1] = next_inventory + + # The next state carries current inventory and demand history. + state = [next_inventory, demand_value, state[2]] end end - return op_costs, traj_inv, traj_z, traj_q -end - -# ═══════════════════════════════════════════════════════════════════════════════ -# Train + evaluate helper -# ═══════════════════════════════════════════════════════════════════════════════ -function train_and_evaluate(; - tag::String, - integer::Bool, - num_batches::Int=400, - train_per_batch::Int=5, - lr::Float64=0.0015, - warmup_batches::Int=80, - int_strategy_override::Union{Nothing, AbstractIntegerStrategy}=nothing, -) - println("=" ^ 60) - println("Training TS-DDR — $(tag) (integer=$integer)") - println("=" ^ 60) - model_path = joinpath(model_dir, "$(tag)_policy.jld2") - curve_path = joinpath(result_dir, "$(tag)_training_curve.csv") + return operational_costs, inventory_paths, setup_paths, order_paths +end - println("Building deterministic equivalent...") - det_eq, spi_train, spo_train, unc_train, init_state = build_inventory_det_equivalent(; - num_scenarios=N_TRAIN_SCENARIOS, penalty=INVENTORY_PENALTY, seed=42, integer=integer) +""" + build_training_problem(variant::InventoryTrainingVariant) - println("Building stage-wise subproblems...") - eval_subproblems, spi_eval, spo_eval, unc_eval, _ = build_inventory_subproblems(; - num_scenarios=N_TEST, penalty=INVENTORY_PENALTY, seed=99, integer=integer) +Build the deterministic-equivalent model used for training a variant. - policy = build_exante_policy(; seed=2024) +# Arguments +- `variant::InventoryTrainingVariant`: variant configuration. - int_strategy = if int_strategy_override !== nothing - int_strategy_override - elseif integer - FixedDiscreteIntegerStrategy() - else - NoIntegerStrategy() - end +# Examples +```julia +det_eq, state_in, state_out, sampler, initial_state = + build_training_problem(variant) +``` +""" +function build_training_problem(variant::InventoryTrainingVariant) + # Training uses a deterministic equivalent so target-dual gradients are coupled. + return build_inventory_det_equivalent(; + num_scenarios = N_TRAIN_SCENARIOS, + penalty = INVENTORY_PENALTY, + seed = 42, + integer = variant.integer, + ) +end +""" + build_evaluation_problem(variant::InventoryTrainingVariant) + +Build the stage-wise models used for held-out rollout evaluation. + +# Arguments +- `variant::InventoryTrainingVariant`: variant configuration. + +# Examples +```julia +subproblems, state_in, state_out, sampler, initial_state = + build_evaluation_problem(variant) +``` +""" +function build_evaluation_problem(variant::InventoryTrainingVariant) + # Evaluation uses stage-wise deployment semantics, not the training DE solve. + return build_inventory_subproblems(; + num_scenarios = N_TEST_SCENARIOS, + penalty = INVENTORY_PENALTY, + seed = 99, + integer = variant.integer, + ) +end + +""" + estimate_initial_loss(policy, det_eq, state_params_in, state_params_out, + uncertainty_sampler, initial_state, variant) + +Estimate pre-training deterministic-equivalent cost for checkpoint initialization. + +# Arguments +- `policy`: policy evaluated before training. +- `det_eq::JuMP.Model`: deterministic-equivalent training model. +- `state_params_in`: input-state parameters. +- `state_params_out`: target-state parameters. +- `uncertainty_sampler`: training sampler. +- `initial_state`: state entering stage 1. +- `variant::InventoryTrainingVariant`: training configuration. + +# Examples +```julia +loss = estimate_initial_loss(policy, det_eq, spi, spo, sampler, x0, variant) +``` +""" +function estimate_initial_loss( + policy, + det_eq::JuMP.Model, + state_params_in, + state_params_out, + uncertainty_sampler, + initial_state, + variant::InventoryTrainingVariant, +) + # Use a small fixed sample only to seed SaveBest with a finite baseline. Random.seed!(111) - pre_costs = [ - let unc = sample(unc_train) + + return mean( + let uncertainty_sample = sample(uncertainty_sampler) + # Deterministic-equivalent simulation needs the full target trajectory. + target_states = simulate_states(initial_state, uncertainty_sample, policy) + simulate_multistage( - det_eq, spi_train, spo_train, unc, - simulate_states(init_state, unc, policy); - integer_strategy=int_strategy, + det_eq, + state_params_in, + state_params_out, + uncertainty_sample, + target_states; + integer_strategy = variant.training_integer_strategy, ) end for _ in 1:12 - ] - pre_mean = mean(pre_costs) - println("Pre-training mean cost: $(round(pre_mean, digits=2))") + ) +end - save_best = SaveBest(pre_mean, model_path) - training_log = DataFrame(batch=Int[], loss=Float64[]) +""" + train_variant!(policy, variant, det_eq, state_params_in, state_params_out, + uncertainty_sampler, initial_state, model_path, curve_path) + +Train one policy and write its training curve. + +# Arguments +- `policy`: mutable Flux policy updated in place. +- `variant::InventoryTrainingVariant`: training configuration. +- `det_eq::JuMP.Model`: deterministic-equivalent training model. +- `state_params_in`: input-state parameters. +- `state_params_out`: target-state parameters. +- `uncertainty_sampler`: training sampler. +- `initial_state`: state entering stage 1. +- `model_path::String`: path for the best model checkpoint. +- `curve_path::String`: path for the training-curve CSV. + +# Examples +```julia +train_variant!(policy, variant, det_eq, spi, spo, sampler, x0, model_path, curve_path) +``` +""" +function train_variant!( + policy, + variant::InventoryTrainingVariant, + det_eq::JuMP.Model, + state_params_in, + state_params_out, + uncertainty_sampler, + initial_state, + model_path::String, + curve_path::String, +) + # Estimate a baseline loss before any optimizer step. + initial_loss = estimate_initial_loss( + policy, + det_eq, + state_params_in, + state_params_out, + uncertainty_sampler, + initial_state, + variant, + ) - println("Training ($num_batches batches × $train_per_batch scenarios, lr=$lr)...") + # SaveBest stores the best policy according to the recorded operational loss. + save_best = SaveBest(initial_loss, model_path) + + # Keep a small CSV trace for plots and sanity checks. + training_log = DataFrame(batch = Int[], loss = Float64[]) + + println("=" ^ 60) + println("Training TS-DDR [$(variant.tag)] integer=$(variant.integer)") + println(" $(variant.num_batches) batches x $(variant.train_per_batch) scenarios") + println(" learning rate: $(variant.learning_rate)") + println(" training integer strategy: $(typeof(variant.training_integer_strategy))") + !isnothing(variant.score_function) && + println(" score function: $(typeof(variant.score_function))") + println(" pre-training cost: $(round(initial_loss, digits = 1))") + println("=" ^ 60) + + # Fix optimizer randomness for repeatability. Random.seed!(2024) - train_start = time() - train_multistage( - policy, init_state, det_eq, spi_train, spo_train, unc_train; - num_batches=num_batches, - num_train_per_batch=train_per_batch, - optimizer=Flux.Adam(lr), - integer_strategy=int_strategy, - penalty_schedule=[(1, warmup_batches, 0.4), (warmup_batches+1, num_batches, 1.0)], - record=(sample_log, iter, model) -> begin - loss = isempty(sample_log.objectives_no_deficit) ? NaN : mean(sample_log.objectives_no_deficit) - push!(training_log, (batch=iter, loss=loss)) - if mod(iter, 20) == 0 || iter == 1 - println(" Batch $(lpad(iter, 3)) / $num_batches loss = $(round(loss, digits=2))") + + elapsed_seconds = @elapsed train_multistage( + policy, + initial_state, + det_eq, + state_params_in, + state_params_out, + uncertainty_sampler; + num_batches = variant.num_batches, + num_train_per_batch = variant.train_per_batch, + optimizer = Flux.Adam(variant.learning_rate), + integer_strategy = variant.training_integer_strategy, + penalty_schedule = penalty_schedule_for(variant), + score_function = variant.score_function, + record = (sample_log, iteration, current_policy) -> begin + # Prefer operational cost, because target slack is a training aid. + loss = isempty(sample_log.objectives_no_deficit) ? + NaN : + mean(sample_log.objectives_no_deficit) + + # Store one row per SGD batch. + push!(training_log, (batch = iteration, loss = loss)) + + # Print sparse progress so long runs are inspectable. + if iteration == 1 || mod(iteration, 50) == 0 + println( + " batch $(lpad(iteration, 4))/$(variant.num_batches) " * + "loss=$(round(loss, digits = 1))", + ) end - save_best(iter, model, loss) + + # Save the best policy seen so far. + save_best(iteration, current_policy, loss) + return false end, ) - train_seconds = time() - train_start + + # Persist the training curve after training finishes. CSV.write(curve_path, training_log) - println("Training time: $(round(train_seconds, digits=1))s") - - model_state = JLD2.load(model_path, "model_state") - Flux.loadmodel!(policy, model_state) - - println("Evaluating on $N_TEST test scenarios...") - eval_start = time() - op_costs, traj_inv, traj_z, traj_q = rollout_policy( - policy, eval_subproblems, spi_eval, spo_eval, unc_eval, init_state; - n_test=N_TEST, seed=555, integer=integer) - eval_seconds = time() - eval_start - - df_inv = DataFrame(traj_inv, [Symbol("t$i") for i in 0:INVENTORY_T]) - df_inv[!, :scenario] = 1:N_TEST - CSV.write(joinpath(result_dir, "$(tag)_dr_trajectories.csv"), df_inv) - CSV.write(joinpath(result_dir, "$(tag)_dr_costs.csv"), - DataFrame(scenario=1:N_TEST, operational_cost=op_costs)) - method_name = if int_strategy isa ContinuousRelaxationIntegerStrategy - "TS-DDR (ContRelax)" - elseif int_strategy isa FixedDiscreteIntegerStrategy - "TS-DDR (FixedDiscrete)" - else - "TS-DDR (trained)" + + println("Training time: $(round(elapsed_seconds, digits = 1))s") + + return elapsed_seconds +end + +""" + save_evaluation_outputs(variant, costs, inventory_paths, train_seconds, eval_seconds) + +Write rollout costs, inventory trajectories, and timing rows for one variant. + +# Arguments +- `variant::InventoryTrainingVariant`: variant configuration. +- `costs::AbstractVector{<:Real}`: held-out operational costs. +- `inventory_paths::AbstractMatrix{<:Real}`: inventory trajectory matrix. +- `train_seconds::Real`: total training time. +- `eval_seconds::Real`: total rollout evaluation time. + +# Examples +```julia +save_evaluation_outputs(variant, costs, inventory_paths, train_time, eval_time) +``` +""" +function save_evaluation_outputs( + variant::InventoryTrainingVariant, + costs::AbstractVector{<:Real}, + inventory_paths::AbstractMatrix{<:Real}, + train_seconds::Real, + eval_seconds::Real, +) + # Name trajectory columns by period t=0,...,T. + time_columns = [Symbol("t$(period)") for period in 0:INVENTORY_T] + + # Write inventory paths for plotting. + CSV.write( + joinpath(RESULT_DIR, "$(variant.tag)_dr_trajectories.csv"), + DataFrame(inventory_paths, time_columns), + ) + + # Write one operational-cost row per held-out scenario. + CSV.write( + joinpath(RESULT_DIR, "$(variant.tag)_dr_costs.csv"), + DataFrame( + scenario = 1:length(costs), + operational_cost = costs, + ), + ) + + # Write timing in the shared schema consumed by compare_results.jl. + CSV.write( + joinpath(RESULT_DIR, "$(variant.tag)_dr_timing.csv"), + DataFrame( + method = [method_label(variant)], + fit_seconds = [train_seconds], + eval_seconds = [eval_seconds / (N_TEST_SCENARIOS * INVENTORY_T)], + n_eval = [N_TEST_SCENARIOS], + ), + ) + + return nothing +end + +""" + train_and_evaluate(variant::InventoryTrainingVariant) + +Train one TS-DDR variant and evaluate it by stage-wise rollout. + +# Arguments +- `variant::InventoryTrainingVariant`: variant configuration. + +# Examples +```julia +costs = train_and_evaluate(variant) +``` +""" +function train_and_evaluate(variant::InventoryTrainingVariant) + # Keep model and curve paths tied to the variant tag. + model_path = joinpath(MODEL_DIR, "$(variant.tag)_policy.jld2") + curve_path = joinpath(RESULT_DIR, "$(variant.tag)_training_curve.csv") + + # Build the training deterministic equivalent. + det_eq, train_state_in, train_state_out, train_sampler, initial_state = + build_training_problem(variant) + + # Build separate stage-wise models for deployment evaluation. + eval_subproblems, eval_state_in, eval_state_out, eval_sampler, _ = + build_evaluation_problem(variant) + + # Start every variant from the same policy initialization. + policy = build_exante_policy(; seed = 2024) + + # Train the policy and save the best checkpoint. + train_seconds = train_variant!( + policy, + variant, + det_eq, + train_state_in, + train_state_out, + train_sampler, + initial_state, + model_path, + curve_path, + ) + + # Reload the best checkpoint before evaluation. + Flux.loadmodel!(policy, JLD2.load(model_path, "model_state")) + + # Allocate outer variables so the timed block can assign them. + costs = Float64[] + inventory_paths = Matrix{Float64}(undef, 0, 0) + + # Evaluate under deployment semantics and time only the rollout solve work. + eval_seconds = @elapsed begin + rollout_costs, rollout_inventory_paths, _setup_paths, _order_paths = + rollout_policy( + policy, + eval_subproblems, + eval_state_in, + eval_state_out, + eval_sampler, + initial_state; + integer = variant.integer, + ) + + # Copy the rollout results into the outer scope. + costs = rollout_costs + inventory_paths = rollout_inventory_paths end - CSV.write(joinpath(result_dir, "$(tag)_dr_timing.csv"), - DataFrame(method=[method_name], - fit_seconds=[train_seconds], - eval_seconds=[eval_seconds / (N_TEST * INVENTORY_T)], - n_eval=[N_TEST])) - - μ = mean(op_costs) - σ = std(op_costs) - println("$(tag) TS-DDR — mean: $(round(μ, digits=1)) ± $(round(σ, digits=1))") - println(" Eval/stage: $(round(eval_seconds/(N_TEST*INVENTORY_T), digits=4))s") - return op_costs -end - -# ═══════════════════════════════════════════════════════════════════════════════ -# Run both -# ═══════════════════════════════════════════════════════════════════════════════ -train_and_evaluate(tag="relaxed", integer=false, - num_batches=400, train_per_batch=5, lr=0.0015, warmup_batches=80) -println() -train_and_evaluate(tag="integer", integer=true, - num_batches=800, train_per_batch=10, lr=0.0008, warmup_batches=120) -println() -train_and_evaluate(tag="integer_cr", integer=true, - num_batches=800, train_per_batch=10, lr=0.0008, warmup_batches=120, - int_strategy_override=ContinuousRelaxationIntegerStrategy()) -println("\nAll TS-DDR results saved to $(relpath(result_dir, example_dir))") + + # Write all result files after the elapsed time is known. + save_evaluation_outputs( + variant, + costs, + inventory_paths, + train_seconds, + eval_seconds, + ) + + # Print the headline cost distribution for this variant. + mean_cost = mean(costs) + std_cost = std(costs) + seconds_per_stage = eval_seconds / (N_TEST_SCENARIOS * INVENTORY_T) + println( + "Result: $(round(mean_cost, digits = 1)) +- " * + "$(round(std_cost, digits = 1)) " * + "(eval/stage: $(round(seconds_per_stage, digits = 4))s)", + ) + + return costs +end + +""" + score_function_variant() -> InventoryTrainingVariant + +Build the mixed-gradient integer variant. + +The dual path uses `FixedDiscreteIntegerStrategy`. The score-function path uses +separate integer rollout subproblems, so the Monte Carlo costs are true MIP +rollout costs. + +# Examples +```julia +variant = score_function_variant() +``` +""" +function score_function_variant() + # Score-function rollouts use separate models so training solves do not + # mutate the deterministic-equivalent model. + rollout_subproblems, rollout_state_in, rollout_state_out, _sampler, _ = + build_inventory_subproblems(; + num_scenarios = N_TRAIN_SCENARIOS, + penalty = INVENTORY_PENALTY, + seed = 77, + integer = true, + ) + + # The score-function config describes the final estimator settings. + score_config = ScoreFunctionConfig( + rollout_subproblems, + rollout_state_in, + rollout_state_out; + dual_weight = 0.5, + perturbation_std = 1.0, + num_rollouts = 8, + ) + + # The schedule phases the Monte Carlo correction in after dual-only warmup. + score_schedule = ScoreFunctionSchedule( + score_config; + sf_start = 200, + ramp_batches = 300, + perturbation_std_initial = 0.1, + num_rollouts_initial = 2, + ) + + return InventoryTrainingVariant( + "integer_sf", + true, + 800, + 10, + 8.0e-4, + 120, + FixedDiscreteIntegerStrategy(), + score_schedule, + ) +end + +""" + inventory_training_variants() -> Vector{InventoryTrainingVariant} + +Return all TS-DDR variants used in the benchmark. + +# Examples +```julia +for variant in inventory_training_variants() + train_and_evaluate(variant) +end +``` +""" +function inventory_training_variants() + return [ + InventoryTrainingVariant( + "relaxed", + false, + 400, + 5, + 1.5e-3, + 80, + NoIntegerStrategy(), + nothing, + ), + InventoryTrainingVariant( + "integer", + true, + 800, + 10, + 8.0e-4, + 120, + FixedDiscreteIntegerStrategy(), + nothing, + ), + InventoryTrainingVariant( + "integer_cr", + true, + 800, + 10, + 8.0e-4, + 120, + ContinuousRelaxationIntegerStrategy(), + nothing, + ), + score_function_variant(), + ] +end + +""" + main() -> Nothing + +Run the full inventory TS-DDR training benchmark. + +# Examples +```julia +main() +``` +""" +function main() + # Train variants sequentially so output files are deterministic. + for variant in inventory_training_variants() + train_and_evaluate(variant) + println() + end + + println("All TS-DDR results saved to $(relpath(RESULT_DIR, EXAMPLE_DIR))") + + return nothing +end + +# Run the script only when invoked directly, not when included by tests. +if abspath(PROGRAM_FILE) == @__FILE__ + main() +end diff --git a/src/DecisionRules.jl b/src/DecisionRules.jl index a4e11ad..d8a3ed9 100644 --- a/src/DecisionRules.jl +++ b/src/DecisionRules.jl @@ -9,6 +9,7 @@ using ChainRulesCore import ChainRulesCore.rrule using DiffOpt using Logging +using Statistics: mean export simulate_multistage, sample, @@ -35,6 +36,10 @@ export simulate_multistage, StateConditionedPolicy, state_conditioned_policy, materialize_tangent, + # Score-function gradient mixing + ScoreFunctionConfig, + ScoreFunctionSchedule, + sf_params, # Multiple shooting exports train_multiple_shooting, setup_shooting_windows, @@ -64,6 +69,7 @@ const _SUCCESSFUL_TERM_STATUSES = (MOI.OPTIMAL, MOI.ALMOST_OPTIMAL, MOI.LOCALLY_ include("integer_strategies.jl") include("parameter_duals.jl") +include("score_function.jl") include("simulate_multistage.jl") include("dense_multilayer_nn.jl") include("utils.jl") diff --git a/src/integer_strategies.jl b/src/integer_strategies.jl index 33f001e..046576a 100644 --- a/src/integer_strategies.jl +++ b/src/integer_strategies.jl @@ -1,46 +1,127 @@ """ AbstractIntegerStrategy -Extension point for preparing models with discrete variables before reading duals -or solver sensitivities. +Abstract supertype for strategies that prepare a JuMP model before reading +duals or solver sensitivities. + +# Arguments +This abstract type has no fields. Concrete subtypes are passed as the +`integer_strategy::AbstractIntegerStrategy` keyword to simulation and training +functions. + +# Examples +```julia +simulate_multistage( + subproblems, + state_params_in, + state_params_out, + initial_state, + uncertainties, + policy; + integer_strategy = FixedDiscreteIntegerStrategy(), +) +``` """ abstract type AbstractIntegerStrategy end """ NoIntegerStrategy() -Default integer strategy. Solves the model exactly as-is and preserves the -historical continuous-model behavior. +Solve the model exactly as written before reading duals or sensitivities. + +Use this for continuous LP, conic, or nonlinear models whose derivative +information is available directly from the solved model. + +# Arguments +This type has no fields. + +# Examples +```julia +strategy = NoIntegerStrategy() +``` """ struct NoIntegerStrategy <: AbstractIntegerStrategy end """ FixedDiscreteIntegerStrategy() -Solve the original model, fix binary/integer variables to their incumbent values, -relax integrality, re-solve the fixed continuous model, and read duals or -sensitivities in that fixed-incumbent continuous state. +Solve a mixed-integer model, fix discrete variables to their incumbent values, +relax integrality, re-solve, and read duals or sensitivities from the fixed +continuous model. -The returned derivative-like information is local to the incumbent integer -assignment and should be interpreted as a postprocessing surrogate, not as a full +If ``z^*`` is the incumbent binary/integer solution, this strategy reads +derivative-like information from the continuous problem + +```math +\\min_x f(x, z^*) \\quad \\text{subject to} \\quad g(x, z^*) \\le 0. +``` + +The result is local to the incumbent integer assignment. It is not a differentiable MIP method. + +# Arguments +This type has no fields. + +# Examples +```julia +strategy = FixedDiscreteIntegerStrategy() +``` """ struct FixedDiscreteIntegerStrategy <: AbstractIntegerStrategy end """ discrete_variables(model::JuMP.Model) -Return all binary or integer variables in `model`. +Return the binary or integer variables in `model`. + +# Arguments +- `model::JuMP.Model`: model to inspect. + +# Examples +```julia +vars = DecisionRules.discrete_variables(model) +``` """ function discrete_variables(model::JuMP.Model) + # JuMP tracks binary and integer status on variables, not in one shared list. return filter(JuMP.all_variables(model)) do variable JuMP.is_binary(variable) || JuMP.is_integer(variable) end end +""" + has_discrete_variables(model::JuMP.Model) -> Bool + +Return whether `model` contains at least one binary or integer variable. + +# Arguments +- `model::JuMP.Model`: model to inspect. + +# Examples +```julia +if DecisionRules.has_discrete_variables(model) + @info "MIP model" +end +``` +""" has_discrete_variables(model::JuMP.Model) = !isempty(discrete_variables(model)) +""" + _assert_successful_solve(model::JuMP.Model; context::AbstractString = "solve") + +Throw an error unless `model` terminated with an accepted success status. + +# Arguments +- `model::JuMP.Model`: model whose termination status is checked. +- `context::AbstractString`: human-readable phrase included in the error. + +# Examples +```julia +DecisionRules._assert_successful_solve(model; context = "fixed LP solve") +``` +""" function _assert_successful_solve(model::JuMP.Model; context::AbstractString="solve") + # Keep the accepted statuses centralized in DecisionRules.jl. status = JuMP.termination_status(model) status in _SUCCESSFUL_TERM_STATUSES && return status throw( @@ -54,13 +135,26 @@ end """ with_sensitivity_solution(f, model, integer_strategy) -Run `f(model)` while `model` is in a state where duals or DiffOpt sensitivities -can be read. Integer strategies that temporarily mutate the model must restore it -before returning, including when `f` throws. +Run `f(model)` while `model` is in a state suitable for reading duals or +DiffOpt sensitivities. + +# Arguments +- `f::Function`: callback that reads values, duals, or sensitivities. +- `model::JuMP.Model`: model to solve and inspect. +- `integer_strategy::AbstractIntegerStrategy`: strategy used to prepare models + with binary or integer variables. + +# Examples +```julia +objective = with_sensitivity_solution(model, FixedDiscreteIntegerStrategy()) do m + JuMP.objective_value(m) +end +``` """ function with_sensitivity_solution( f::Function, model::JuMP.Model, ::NoIntegerStrategy ) + # Continuous models can be solved directly. optimize!(model) return f(model) end @@ -68,21 +162,46 @@ end function with_sensitivity_solution( f::Function, model::JuMP.Model, ::FixedDiscreteIntegerStrategy ) + # First solve the original MIP to obtain an incumbent integer assignment. optimize!(model) _assert_successful_solve(model; context="original integer solve") + # Models without discrete variables fall back to the direct solved state. has_discrete_variables(model) || return f(model) + # JuMP returns an undo callback that restores integrality and bounds. undo = JuMP.fix_discrete_variables(model) try + # Re-solve the fixed continuous problem before reading duals. optimize!(model) _assert_successful_solve(model; context="fixed-discrete sensitivity solve") return f(model) finally + # Always restore the original model, even when the callback fails. undo() end end +""" + _with_current_or_sensitivity_solution(f, model, integer_strategy) + +Run `f(model)` directly for continuous models and through +[`with_sensitivity_solution`](@ref) for integer strategies. + +# Arguments +- `f::Function`: callback that reads values, duals, or sensitivities. +- `model::JuMP.Model`: model to inspect. +- `integer_strategy::AbstractIntegerStrategy`: current integer strategy. + +# Examples +```julia +value = DecisionRules._with_current_or_sensitivity_solution( + m -> JuMP.objective_value(m), + model, + strategy, +) +``` +""" _with_current_or_sensitivity_solution( f::Function, model::JuMP.Model, ::NoIntegerStrategy ) = f(model) @@ -99,6 +218,10 @@ end Relax all binary/integer constraints to continuous bounds (binary → [0,1]), solve the resulting LP, and read duals in that relaxed state. +Mathematically, this replaces ``z \\in \\{0,1\\}`` or integer restrictions with +continuous bounds before solving. The derivative signal belongs to the relaxed +problem, not to the original MIP. + Compared to [`FixedDiscreteIntegerStrategy`](@ref): - **Faster**: one LP solve instead of MIP + LP. - **Smoother gradients**: no integer fixing means no zero-gradient dead zones. @@ -109,31 +232,59 @@ A practical pattern is to train with `ContinuousRelaxationIntegerStrategy` during warmup (smooth landscape for initial learning) and switch to `FixedDiscreteIntegerStrategy` later (integer-accurate gradients for fine-tuning). + +# Arguments +This type has no fields. + +# Examples +```julia +strategy = ContinuousRelaxationIntegerStrategy() +``` """ struct ContinuousRelaxationIntegerStrategy <: AbstractIntegerStrategy end function with_sensitivity_solution( f::Function, model::JuMP.Model, ::ContinuousRelaxationIntegerStrategy ) + # Continuous models need no relaxation step. has_discrete_variables(model) || begin optimize!(model) return f(model) end + + # JuMP returns an undo callback that restores integrality after the solve. undo = JuMP.relax_integrality(model) try + # Solve the continuous relaxation before reading duals. optimize!(model) _assert_successful_solve(model; context="continuous relaxation sensitivity solve") return f(model) finally + # Restore integer declarations before returning control to the caller. undo() end end +""" + _sensitivity_forward_status(model::JuMP.Model, strategy) -> MOI.TerminationStatusCode + +Return the termination status that an rrule should use for gradient fallback. + +# Arguments +- `model::JuMP.Model`: model inspected after the forward pass. +- `strategy::AbstractIntegerStrategy`: integer strategy used for the solve. + +# Examples +```julia +status = DecisionRules._sensitivity_forward_status(model, strategy) +``` +""" _sensitivity_forward_status(model::JuMP.Model, ::NoIntegerStrategy) = JuMP.termination_status(model) function _sensitivity_forward_status( ::JuMP.Model, ::AbstractIntegerStrategy ) + # Integer strategies do their own solve checks inside the sensitivity pass. return MOI.OPTIMAL end diff --git a/src/score_function.jl b/src/score_function.jl new file mode 100644 index 0000000..120d392 --- /dev/null +++ b/src/score_function.jl @@ -0,0 +1,638 @@ +""" + ScoreFunctionConfig( + subproblems::AbstractVector{<:JuMP.Model}, + state_params_in::AbstractVector, + state_params_out::AbstractVector; + dual_weight::Real = 0.5, + perturbation_std::Real = 1.0, + num_rollouts::Integer = 8, + baseline::Symbol = :mean, + ) + +Configure the score-function correction used by [`train_multistage`](@ref). + +The deterministic-equivalent training path differentiates the target policy +through dual information. For mixed-integer subproblems, those duals are local +to a fixed integer assignment. This configuration adds a REINFORCE-style +correction estimated from stage-wise rollouts with perturbed targets. + +The rollout models are solved exactly as they are built. If `subproblems` +contain binary variables, the score-function rollouts solve MIPs. If they +contain relaxed variables, the score-function rollouts solve the relaxation. +This is intentionally separate from the `integer_strategy` keyword of +[`train_multistage`](@ref), which controls only how the differentiable +dual-gradient path reads local sensitivity information from the deterministic +equivalent. + +If ``\\hat{x}_{t+1}(\\theta)`` is the target emitted by the policy and +``\\delta_t \\sim \\mathcal{N}(0, \\sigma^2 I)``, the perturbed rollout solves +with target ``\\hat{x}_{t+1}(\\theta) + \\delta_t``. The score-function +surrogate loss is + +```math +L_{sf}(\\theta) + = \\frac{1}{M} \\sum_{m=1}^{M} + (R_m - b) + \\sum_{t=1}^{T} + \\left\\langle \\frac{\\delta_{m,t}}{\\sigma^2}, + \\hat{x}_{t+1}(\\theta) \\right\\rangle , +``` + +and the mixed gradient is + +```math +\\nabla L + = \\alpha \\nabla L_{dual} + + (1 - \\alpha) \\nabla L_{sf}. +``` + +# Arguments +- `subproblems::AbstractVector{<:JuMP.Model}`: stage-wise rollout models used to + estimate realized costs under perturbed targets. +- `state_params_in::AbstractVector`: stage input-state parameters. +- `state_params_out::AbstractVector`: pairs `(target_parameter, state_variable)` + for every stage output state. + +# Keywords +- `dual_weight::Real`: mixing weight ``\\alpha`` on the dual-gradient term. +- `perturbation_std::Real`: Gaussian standard deviation ``\\sigma``. +- `num_rollouts::Integer`: number of perturbed rollouts ``M`` per sample. +- `baseline::Symbol`: either `:mean` for mean-centering costs or `:none`. + +# Examples +```julia +score_function = ScoreFunctionConfig( + rollout_subproblems, + state_params_in, + state_params_out; + dual_weight = 0.5, + perturbation_std = 1.0, + num_rollouts = 8, +) + +train_multistage( + policy, + initial_state, + det_equivalent, + state_params_in, + state_params_out, + uncertainty_sampler; + score_function, +) +``` +""" +struct ScoreFunctionConfig + subproblems::Vector{JuMP.Model} + state_params_in::AbstractVector + state_params_out::AbstractVector + dual_weight::Float64 + perturbation_std::Float64 + num_rollouts::Int + baseline::Symbol +end + +function ScoreFunctionConfig( + subproblems::AbstractVector{<:JuMP.Model}, + state_params_in::AbstractVector, + state_params_out::AbstractVector; + dual_weight::Real = 0.5, + perturbation_std::Real = 1.0, + num_rollouts::Integer = 8, + baseline::Symbol = :mean, +) + # Validate dimensions first so later rollout errors point at modeling issues. + length(subproblems) == length(state_params_in) || + throw(ArgumentError("state_params_in must have one entry per subproblem.")) + length(subproblems) == length(state_params_out) || + throw(ArgumentError("state_params_out must have one entry per subproblem.")) + + # Convert scalar configuration values once, at construction time. + dual_weight_value = Float64(dual_weight) + perturbation_std_value = Float64(perturbation_std) + num_rollouts_value = Int(num_rollouts) + + # Keep validation messages tied to the public keyword names. + 0.0 <= dual_weight_value <= 1.0 || + throw(ArgumentError("dual_weight must lie in [0, 1].")) + perturbation_std_value > 0.0 || + throw(ArgumentError("perturbation_std must be positive.")) + num_rollouts_value >= 1 || + throw(ArgumentError("num_rollouts must be at least 1.")) + baseline in (:mean, :none) || + throw(ArgumentError("baseline must be either :mean or :none.")) + + # Store a plain Vector of models so iteration order is concrete and stable. + return ScoreFunctionConfig( + collect(subproblems), + state_params_in, + state_params_out, + dual_weight_value, + perturbation_std_value, + num_rollouts_value, + baseline, + ) +end + +""" + ScoreFunctionSchedule(config::ScoreFunctionConfig; ) + +Ramp a [`ScoreFunctionConfig`](@ref) into training after a pure-dual warmup. + +The schedule delays score-function rollouts until `sf_start`, then linearly +increases the score-function weight, perturbation scale, and rollout count until +the final values stored in `config` are reached. + +Let ``k`` be the current iteration and +``\\rho_k = \\operatorname{clip}((k - k_0) / r, 0, 1)``. The effective +score-function weight is +``\\rho_k (1 - \\alpha)``. The effective dual weight is one minus that value. + +# Arguments +- `config::ScoreFunctionConfig`: final score-function configuration. + +# Keywords +- `sf_start::Integer`: first iteration at which score-function rollouts are + considered. +- `ramp_batches::Integer`: number of iterations in the linear ramp. +- `perturbation_std_initial::Real`: initial ``\\sigma`` at ramp start. +- `num_rollouts_initial::Integer`: initial rollout count at ramp start. + +# Examples +```julia +schedule = ScoreFunctionSchedule( + score_function; + sf_start = 200, + ramp_batches = 300, + perturbation_std_initial = 0.1, + num_rollouts_initial = 2, +) +``` +""" +struct ScoreFunctionSchedule + config::ScoreFunctionConfig + sf_start::Int + ramp_batches::Int + final_dual_weight::Float64 + initial_perturbation_std::Float64 + final_perturbation_std::Float64 + initial_num_rollouts::Int + final_num_rollouts::Int +end + +function ScoreFunctionSchedule( + config::ScoreFunctionConfig; + sf_start::Integer = 200, + ramp_batches::Integer = 200, + perturbation_std_initial::Real = 0.1, + num_rollouts_initial::Integer = 2, +) + # Convert public numeric inputs before validation. + sf_start_value = Int(sf_start) + ramp_batches_value = Int(ramp_batches) + initial_std_value = Float64(perturbation_std_initial) + initial_rollouts_value = Int(num_rollouts_initial) + + # Reject invalid schedules with keyword-specific messages. + sf_start_value >= 1 || + throw(ArgumentError("sf_start must be at least 1.")) + ramp_batches_value >= 1 || + throw(ArgumentError("ramp_batches must be at least 1.")) + initial_std_value > 0.0 || + throw(ArgumentError("perturbation_std_initial must be positive.")) + initial_rollouts_value >= 1 || + throw(ArgumentError("num_rollouts_initial must be at least 1.")) + + return ScoreFunctionSchedule( + config, + sf_start_value, + ramp_batches_value, + config.dual_weight, + initial_std_value, + config.perturbation_std, + initial_rollouts_value, + config.num_rollouts, + ) +end + +const _ScoreFunctionParameters = @NamedTuple{ + alpha::Float64, + score_weight::Float64, + perturbation_std::Float64, + num_rollouts::Int, + active::Bool, +} + +""" + sf_params(config::ScoreFunctionConfig, iteration::Integer) + sf_params(schedule::ScoreFunctionSchedule, iteration::Integer) + +Return the effective score-function parameters for `iteration`. + +# Arguments +- `config::ScoreFunctionConfig`: unscheduled score-function configuration. +- `schedule::ScoreFunctionSchedule`: scheduled score-function configuration. +- `iteration::Integer`: one-based training iteration. + +# Returns +A named tuple with fields: +- `alpha::Float64`: weight on the dual-gradient term. +- `score_weight::Float64`: weight on the score-function term. +- `perturbation_std::Float64`: Gaussian standard deviation ``\\sigma``. +- `num_rollouts::Int`: number of perturbed rollouts. +- `active::Bool`: whether rollout estimation should run. + +# Examples +```julia +params = sf_params(schedule, 250) +params.active && @show params.score_weight +``` +""" +function sf_params( + config::ScoreFunctionConfig, + ::Integer, +)::_ScoreFunctionParameters + # Static configurations are active at every training iteration. + return ( + alpha = config.dual_weight, + score_weight = 1.0 - config.dual_weight, + perturbation_std = config.perturbation_std, + num_rollouts = config.num_rollouts, + active = true, + ) +end + +function sf_params( + schedule::ScoreFunctionSchedule, + iteration::Integer, +)::_ScoreFunctionParameters + # Before warmup ends, keep the original deterministic-equivalent gradient. + if iteration < schedule.sf_start + return ( + alpha = 1.0, + score_weight = 0.0, + perturbation_std = 0.0, + num_rollouts = 0, + active = false, + ) + end + + # A clipped ramp fraction keeps all interpolated values inside bounds. + ramp_fraction = clamp( + (iteration - schedule.sf_start) / schedule.ramp_batches, + 0.0, + 1.0, + ) + + # The score-function weight follows the linear ramp. + uncapped_score_weight = ramp_fraction * (1.0 - schedule.final_dual_weight) + + # Interpolate the perturbation scale and rollout count over the same ramp. + perturbation_std = schedule.initial_perturbation_std + + ramp_fraction * + (schedule.final_perturbation_std - schedule.initial_perturbation_std) + num_rollouts = round( + Int, + schedule.initial_num_rollouts + + ramp_fraction * + (schedule.final_num_rollouts - schedule.initial_num_rollouts), + ) + + return ( + alpha = 1.0 - uncapped_score_weight, + score_weight = uncapped_score_weight, + perturbation_std = perturbation_std, + num_rollouts = max(1, num_rollouts), + active = true, + ) +end + +""" + _sf_config(score_function) -> Union{Nothing,ScoreFunctionConfig} + +Extract the underlying [`ScoreFunctionConfig`](@ref), if one exists. + +# Arguments +- `score_function::Nothing`: score-function correction is disabled. +- `score_function::ScoreFunctionConfig`: returned as-is. +- `score_function::ScoreFunctionSchedule`: unwraps `score_function.config`. + +# Examples +```julia +config = DecisionRules._sf_config(score_function) +``` +""" +_sf_config(::Nothing) = nothing +_sf_config(config::ScoreFunctionConfig) = config +_sf_config(schedule::ScoreFunctionSchedule) = schedule.config + +""" + _set_score_function_stage_parameters!( + state_params_in, + state_params_out, + uncertainties, + state, + target, + ) -> Nothing + +Set the JuMP parameters needed for one perturbed rollout stage. + +# Arguments +- `state_params_in::AbstractVector`: parameters receiving the current state. +- `state_params_out::AbstractVector`: `(target_parameter, state_variable)` + pairs receiving the target state. +- `uncertainties::AbstractVector`: `(parameter, value)` pairs for stage + uncertainty. +- `state::AbstractVector{<:Real}`: realized state entering this stage. +- `target::AbstractVector{<:Real}`: perturbed target for the output state. + +# Examples +```julia +DecisionRules._set_score_function_stage_parameters!( + spi[t], + spo[t], + uncertainty_sample[t], + state, + target, +) +``` +""" +function _set_score_function_stage_parameters!( + state_params_in, + state_params_out, + uncertainties, + state::AbstractVector{<:Real}, + target::AbstractVector{<:Real}, +) + # Input-state parameters receive the realized state from the prior stage. + for index in eachindex(state_params_in) + set_parameter_value(state_params_in[index], state[index]) + end + + # Uncertainty parameters receive the sampled exogenous values. + for (parameter, value) in uncertainties + set_parameter_value(parameter, value) + end + + # Output target parameters receive the perturbed policy targets. + for index in eachindex(state_params_out) + set_parameter_value(state_params_out[index][1], target[index]) + end + + return nothing +end + +""" + rollout_with_perturbation( + config::ScoreFunctionConfig, + initial_state::AbstractVector, + uncertainties, + targets, + perturbations, + ) -> Float64 + +Run one stage-wise rollout with fixed target perturbations. + +The rollout target at stage `t` is `targets[t + 1] + perturbations[t]`. The +returned cost excludes the target-deficit penalty so the score-function signal +estimates operational cost rather than target-following slack. + +# Arguments +- `config::ScoreFunctionConfig`: rollout models and parameter mappings. +- `initial_state::AbstractVector`: state entering stage 1. +- `uncertainties`: sampled uncertainty trajectory. +- `targets`: target trajectory, including `targets[1] == initial_state`. +- `perturbations`: one perturbation vector for each stage target. + +# Examples +```julia +cost = DecisionRules.rollout_with_perturbation( + score_function, + initial_state, + uncertainty_sample, + targets, + perturbations, +) +``` +""" +function rollout_with_perturbation( + config::ScoreFunctionConfig, + initial_state::AbstractVector, + uncertainties, + targets, + perturbations, +)::Float64 + # Rollouts always start from the true initial state. + state = Float64.(initial_state) + + # Accumulate operational cost over the horizon. + total_cost = 0.0 + + for stage in eachindex(config.subproblems) + # The deterministic target sequence includes the initial state at index 1. + target = Float64.(targets[stage + 1]) .+ perturbations[stage] + + # Set all model parameters before solving this stage. + _set_score_function_stage_parameters!( + config.state_params_in[stage], + config.state_params_out[stage], + uncertainties[stage], + state, + target, + ) + + # Score-function rollouts need realized costs, not duals, so solve the + # model exactly as it was built. + optimize!(config.subproblems[stage]) + + # Fail loudly when a sampled rollout is not solved to a usable status. + _assert_successful_solve( + config.subproblems[stage]; + context = "score-function rollout solve", + ) + + # Read the operational cost after the successful solve. + stage_cost = get_objective_no_target_deficit(config.subproblems[stage]) + + # Read the realized output state that becomes the next input state. + next_state = Float64.([ + JuMP.value(config.state_params_out[stage][index][2]) + for index in eachindex(config.state_params_out[stage]) + ]) + + # Feed the realized output state to the next stage. + total_cost += stage_cost + state = next_state + end + + return total_cost +end + +""" + _sample_target_perturbations(num_stages::Integer, state_dimension::Integer, sigma::Real) + +Draw Gaussian target perturbations for one score-function rollout. + +# Arguments +- `num_stages::Integer`: number of stage targets to perturb. +- `state_dimension::Integer`: length of each target state vector. +- `sigma::Real`: Gaussian standard deviation ``\\sigma``. + +# Examples +```julia +perturbations = DecisionRules._sample_target_perturbations(3, 2, 0.5) +``` +""" +function _sample_target_perturbations( + num_stages::Integer, + state_dimension::Integer, + sigma::Real, +) + # Multiplying standard normal draws by sigma stores actual perturbations. + return [Float64(sigma) .* randn(Int(state_dimension)) for _ in 1:Int(num_stages)] +end + +""" + _center_rollout_costs(costs::AbstractVector{<:Real}, baseline::Symbol) + +Convert rollout costs into score-function advantages. + +# Arguments +- `costs::AbstractVector{<:Real}`: operational costs from perturbed rollouts. +- `baseline::Symbol`: either `:mean` or `:none`. + +# Examples +```julia +advantages = DecisionRules._center_rollout_costs([10.0, 12.0], :mean) +``` +""" +function _center_rollout_costs( + costs::AbstractVector{<:Real}, + baseline::Symbol, +) + # A mean baseline reduces variance without changing the expected gradient. + baseline_value = baseline === :mean ? mean(costs) : 0.0 + + return Float64.(costs) .- baseline_value +end + +""" + _score_function_rollouts( + config::ScoreFunctionConfig, + initial_state::AbstractVector, + uncertainties, + targets; + perturbation_std = config.perturbation_std, + num_rollouts = config.num_rollouts, + ) -> (advantages, perturbations) + +Estimate rollout advantages for the score-function term. + +# Arguments +- `config::ScoreFunctionConfig`: score-function rollout configuration. +- `initial_state::AbstractVector`: state entering stage 1. +- `uncertainties`: sampled uncertainty trajectory. +- `targets`: target trajectory, including the initial state. +- `perturbation_std::Real`: Gaussian standard deviation ``\\sigma``. +- `num_rollouts::Integer`: number of perturbed rollouts to sample. + +# Examples +```julia +advantages, perturbations = DecisionRules._score_function_rollouts( + score_function, + initial_state, + uncertainty_sample, + targets; + perturbation_std = 0.5, + num_rollouts = 4, +) +``` +""" +function _score_function_rollouts( + config::ScoreFunctionConfig, + initial_state::AbstractVector, + uncertainties, + targets; + perturbation_std::Real = config.perturbation_std, + num_rollouts::Integer = config.num_rollouts, +) + # Use the first target after the initial state to infer the state dimension. + state_dimension = length(targets[2]) + num_stages = length(config.subproblems) + + # Allocate both arrays up front so each rollout has a visible slot. + costs = Vector{Float64}(undef, Int(num_rollouts)) + perturbations = Vector{Vector{Vector{Float64}}}(undef, Int(num_rollouts)) + + for rollout in eachindex(costs) + # Draw perturbations once, then reuse them in the surrogate gradient. + perturbations[rollout] = _sample_target_perturbations( + num_stages, + state_dimension, + perturbation_std, + ) + + # Evaluate the realized cost under the perturbed target trajectory. + costs[rollout] = rollout_with_perturbation( + config, + initial_state, + uncertainties, + targets, + perturbations[rollout], + ) + end + + return _center_rollout_costs(costs, config.baseline), perturbations +end + +""" + _score_function_surrogate( + advantage::Real, + perturbations, + targets, + perturbation_std::Real, + ) -> Real + +Build the differentiable scalar whose gradient is the Gaussian score estimate. + +For fixed rollout cost advantage ``A`` and perturbations ``\\delta_t``, the +surrogate is + +```math +A \\sum_t \\left\\langle + \\delta_t / \\sigma^2, \\hat{x}_{t+1}(\\theta) +\\right\\rangle . +``` + +# Arguments +- `advantage::Real`: centered rollout cost ``R - b``. +- `perturbations`: stage perturbations ``\\delta_t``. +- `targets`: differentiable target trajectory produced by the policy. +- `perturbation_std::Real`: Gaussian standard deviation ``\\sigma``. + +# Examples +```julia +loss = DecisionRules._score_function_surrogate( + 3.0, + perturbations, + targets, + 0.5, +) +``` +""" +function _score_function_surrogate( + advantage::Real, + perturbations, + targets, + perturbation_std::Real, +) + # The Gaussian location score divides actual perturbations by sigma squared. + inverse_variance = inv(Float32(perturbation_std)^2) + + # Targets include the initial state, so stage t uses targets[t + 1]. + score = sum(eachindex(perturbations)) do stage + sum(Float32.(perturbations[stage]) .* targets[stage + 1]) * + inverse_variance + end + + return Float32(advantage) * score +end diff --git a/src/simulate_multistage.jl b/src/simulate_multistage.jl index f7d1801..9356eec 100644 --- a/src/simulate_multistage.jl +++ b/src/simulate_multistage.jl @@ -347,6 +347,9 @@ end function get_objective_no_target_deficit( subproblem::JuMP.Model; norm_deficit::AbstractString="norm_deficit" ) + if subproblem.is_model_dirty + return get(subproblem.ext, :_last_obj_no_deficit, 0.0) + end try obj = JuMP.objective_function(subproblem) objective_val = objective_value(subproblem) @@ -902,6 +905,31 @@ function ChainRulesCore.rrule( return y, public_pullback end +""" + sample(uncertainty_samples::Vector{Tuple{VariableRef,Vector{T}}}) where {T<:Real} + sample(uncertainty_samples::Vector{Vector{Tuple{VariableRef,Vector{T}}}}) where {T<:Real} + +Draw one uncertainty realization from a DecisionRules uncertainty sampler. + +The first method receives one stage's uncertainty support as +`(parameter, support_values)` pairs and returns `(parameter, sampled_value)` +pairs. The second method maps that operation over a vector of stages, producing +one sampled trajectory for a multistage rollout. + +# Arguments +- `uncertainty_samples::Vector{Tuple{VariableRef,Vector{T}}}`: one stage's + uncertain JuMP parameters and their finite supports. +- `uncertainty_samples::Vector{Vector{Tuple{VariableRef,Vector{T}}}}`: one + finite-support uncertainty description per stage. + +# Examples +```julia +demand_path = sample([ + [(demand_1, [10.0, 15.0])], + [(demand_2, [8.0, 12.0])], +]) +``` +""" function sample(uncertainty_samples::Vector{Tuple{VariableRef,Vector{T}}}) where {T<:Real} uncertainty_sample = Vector{Tuple{VariableRef,T}}(undef, length(uncertainty_samples)) for i in 1:length(uncertainty_samples) @@ -916,14 +944,100 @@ function sample( return [sample(uncertainty_samples[t]) for t in 1:length(uncertainty_samples)] end -""" - train_multistage(model, initial_state, subproblems, state_params_in, - state_params_out, uncertainty_sampler; kwargs...) - -Train a policy with **stage-wise decomposition** (single shooting, Extension §2). -Each SGD step samples `num_train_per_batch` uncertainty trajectories, rolls out the -policy through `simulate_multistage` (stage-wise overload), and updates `model` via -the Flux optimizer. +@doc raw""" + train_multistage(model, initial_state, subproblems::Vector{JuMP.Model}, + state_params_in, state_params_out, uncertainty_sampler; + kwargs...) + +Train a target-state policy with stage-wise decomposition (single shooting). + +For one sampled uncertainty trajectory ``w_{1:T}``, this overload solves one +optimization problem per stage. At stage ``t``, given the realized incoming +state ``x_{t-1}``, the policy predicts a target +``\hat{x}_t = \pi_\theta(w_t, x_{t-1})`` and the stage problem is + +```math +\begin{aligned} +q_t(x_{t-1}, w_t; \hat{x}_t) + = \min_{x_t, y_t, \delta_t} + \quad & f_t(x_t, y_t) + C_\delta \|\delta_t\| \\ +\text{s.t.}\quad + & x_t = T_t(w_t, y_t, x_{t-1}) && : \mu_t, \\ + & x_t + \delta_t = \hat{x}_t && : \lambda_t, \\ + & h_t(x_t, y_t) \ge 0 . +\end{aligned} +``` + +The rollout objective is the sum of stage values, + +```math +Q(\theta; w) = + \sum_{t=1}^{T} q_t(x_{t-1}, w_t; \hat{x}_t), +``` + +where each realized ``x_t`` is read from the previous stage solve. The gradient +therefore contains both the target duals ``\lambda_t`` and the sensitivity of +later realized states with respect to earlier targets. In the notation of the +extension note, + +```math +\nabla_\theta Q(\theta; w) += +\sum_{t=1}^{T} +\left[ + \frac{\partial q_t}{\partial \hat{x}_t} + + + \sum_{k=t+1}^{T} + \frac{\partial q_k}{\partial x_{k-1}} + \prod_{j=t+1}^{k-1} + \frac{\partial x_j}{\partial x_{j-1}} + \frac{\partial x_t}{\partial \hat{x}_t} +\right] +\nabla_\theta \pi_\theta(w_t, x_{t-1}). +``` + +The dual terms come from target and transition constraints; the state +sensitivities are computed through DiffOpt in the rrules for +[`simulate_stage`](@ref) and [`get_next_state`](@ref). + +# Arguments +- `model`: differentiable Flux-compatible policy. It receives + `vcat(stage_uncertainty, realized_state)` and returns the next target state. +- `initial_state::AbstractVector{<:Real}`: state ``x_0`` entering stage 1. +- `subproblems::Vector{JuMP.Model}`: one JuMP model per stage. +- `state_params_in`: stage input-state parameters. +- `state_params_out`: `(target_parameter, realized_state_variable)` pairs for + each stage output state. +- `uncertainty_sampler`: object or vector sampled by [`sample`](@ref). + +# Keywords +- `num_batches::Integer`: number of SGD batches. +- `num_train_per_batch::Integer`: sampled trajectories per batch. +- `optimizer`: Flux optimizer used to update `model`. +- `adjust_hyperparameters::Function`: optional hook returning the batch size for + the current iteration. +- `record_loss`: legacy logging callback. +- `sample_log::SampleLog`: per-batch objective cache. +- `record::Function`: callback called as `record(sample_log, iter, model)`. +- `penalty_schedule`: optional multiplier schedule for target-penalty terms. +- `integer_strategy::AbstractIntegerStrategy`: strategy used when a stage model + has discrete variables and derivative information must be read. + +# Examples +```julia +train_multistage( + policy, + initial_state, + subproblems, + state_params_in, + state_params_out, + uncertainty_sampler; + num_batches = 200, + num_train_per_batch = 16, + optimizer = Flux.Adam(1.0e-3), + integer_strategy = NoIntegerStrategy(), +) +``` """ function train_multistage( model, @@ -944,9 +1058,10 @@ function train_multistage( integer_strategy::AbstractIntegerStrategy=NoIntegerStrategy(), ) record = _resolve_record(record, record_loss) - # Initialise the optimiser for this model: + # Flux keeps optimizer state separately from the model parameters. opt_state = Flux.setup(optimizer, model) + # Resolve the target-penalty schedule once before the training loop. schedule = _resolve_penalty_schedule(penalty_schedule, num_batches) penalty_bases = if isnothing(schedule) nothing @@ -964,13 +1079,19 @@ function train_multistage( end end num_train_per_batch = adjust_hyperparameters(iter, opt_state, num_train_per_batch) - # Sample uncertainties + + # Draw the Monte Carlo batch used to approximate the expectation. uncertainty_samples = [sample(uncertainty_sampler) for _ in 1:num_train_per_batch] + + # Accumulate the sampled objective inside the AD closure. objective = 0.0 _reset_sample_log!(sample_log) grads = Flux.gradient(model) do m for s in 1:num_train_per_batch + # Reset recurrent Flux layers before each sampled trajectory. Flux.reset!(m) + + # The stage-wise rollout differentiates through each stage solve. objective += simulate_multistage( subproblems, state_params_in, @@ -987,9 +1108,7 @@ function train_multistage( end record(sample_log, iter, model) && break - # Update the parameters so as to reduce the objective, - # according the chosen optimisation rule: - # Convert gradients from MutableTangent to plain NamedTuples for Flux.update! + # Convert ChainRules tangents to the structure expected by Flux.update!. grad = materialize_tangent(grads[1]) Flux.update!(opt_state, model, grad) end @@ -1010,14 +1129,113 @@ function sim_states(t, m, initial_state, uncertainty_sample_vec, prev_states) end end -""" +@doc raw""" train_multistage(model, initial_state, det_equivalent::JuMP.Model, - state_params_in, state_params_out, uncertainty_sampler; kwargs...) - -Train a policy with the **deterministic equivalent** (direct transcription, -Extension §1). Each SGD step samples uncertainty trajectories, rolls out target -states with `Base.accumulate`, solves the coupled `det_equivalent`, and updates -`model`. Gradient: Eq. 1.2, ``λ^s ⊙ ∇_θ π``. + state_params_in, state_params_out, uncertainty_sampler; + score_function=nothing, kwargs...) + +Train a target-state policy with a deterministic equivalent (direct transcription). + +For one sampled trajectory ``w_{1:T}``, the policy first produces the full target +trajectory + +```math +\hat{x}_{1:T}(\theta) = \pi_\theta(w_{1:T}, x_0). +``` + +The coupled implementation problem is + +```math +\begin{aligned} +Q(w; \theta) + = + \min_{\{x_t, y_t, \delta_t\}_{t=1}^{T}} + \quad & + \sum_{t=1}^{T} f_t(x_t, y_t) + + C_\delta \sum_{t=1}^{T} \|\delta_t\| \\ +\text{s.t.}\quad + & x_t = T_t(w_t, y_t, x_{t-1}) && t=1,\ldots,T, \\ + & x_t + \delta_t = \hat{x}_t(\theta) && : \lambda_t,\quad t=1,\ldots,T, \\ + & h_t(x_t, y_t) \ge 0 && t=1,\ldots,T . +\end{aligned} +``` + +The target trajectory appears as right-hand-side parameters. If +``\lambda_t`` is the dual multiplier of the target constraint, the envelope +gradient used by this overload is + +```math +\nabla_\theta \mathbb{E}[Q(w; \theta)] +\approx +\frac{1}{S} +\sum_{s=1}^{S} +\sum_{t=1}^{T} +\lambda_t^s \odot +\nabla_\theta \hat{x}_t^s(\theta), +``` + +where ``S`` is `num_train_per_batch` and ``\odot`` denotes componentwise +multiplication. + +Pass a [`ScoreFunctionConfig`](@ref) or [`ScoreFunctionSchedule`](@ref) via +`score_function` to mix the dual gradient with a REINFORCE correction +estimated from rollouts under perturbed targets. + +When `score_function` is used, there are two separate solve paths: + +1. `integer_strategy` applies to `det_equivalent` and controls how local dual + information is read for the differentiable dual-gradient term. +2. `score_function` owns separate rollout subproblems. Those models are solved + exactly as they are built, and their realized costs define the Monte Carlo + score-function term. + +For a mixed-integer model, this usually means +`integer_strategy = FixedDiscreteIntegerStrategy()` for the dual path and +MIP rollout subproblems inside `ScoreFunctionConfig` for the score-function +path. + +# Arguments +- `model`: differentiable Flux-compatible policy. It is rolled forward over + uncertainty values to produce ``\hat{x}_{1:T}``. +- `initial_state::AbstractVector{<:Real}`: state ``x_0``. +- `det_equivalent::JuMP.Model`: full-horizon JuMP model for one sampled + trajectory. +- `state_params_in`: input-state parameters in the deterministic equivalent. +- `state_params_out`: `(target_parameter, realized_state_variable)` pairs for + each target state. +- `uncertainty_sampler`: object or vector sampled by [`sample`](@ref). + +# Keywords +- `num_batches::Integer`: number of SGD batches. +- `num_train_per_batch::Integer`: sampled trajectories per batch ``S``. +- `optimizer`: Flux optimizer used to update `model`. +- `adjust_hyperparameters::Function`: optional hook returning the batch size for + the current iteration. +- `record_loss`: legacy logging callback. +- `sample_log::SampleLog`: per-batch objective cache. +- `record::Function`: callback called as `record(sample_log, iter, model)`. +- `penalty_schedule`: optional multiplier schedule for target-penalty terms. +- `integer_strategy::AbstractIntegerStrategy`: strategy used to read local dual + information from `det_equivalent` when it has discrete variables. +- `score_function`: optional [`ScoreFunctionConfig`](@ref) or + [`ScoreFunctionSchedule`](@ref) for mixed dual/score-function gradients. + +# Examples +```julia +train_multistage( + policy, + initial_state, + det_equivalent, + state_params_in, + state_params_out, + uncertainty_sampler; + num_batches = 200, + num_train_per_batch = 16, + optimizer = Flux.Adam(1.0e-3), + integer_strategy = FixedDiscreteIntegerStrategy(), + score_function = nothing, +) +``` """ function train_multistage( model, @@ -1036,75 +1254,99 @@ function train_multistage( record=default_record, penalty_schedule=nothing, integer_strategy::AbstractIntegerStrategy=NoIntegerStrategy(), + score_function::Union{Nothing,ScoreFunctionConfig,ScoreFunctionSchedule}=nothing, ) record = _resolve_record(record, record_loss) - # Initialise the optimiser for this model: opt_state = Flux.setup(optimizer, model) num_stages = length(state_params_in) schedule = _resolve_penalty_schedule(penalty_schedule, num_batches) - penalty_bases = if isnothing(schedule) - nothing - else + penalty_bases = isnothing(schedule) ? nothing : _check_deficit_penalty_bases(_deficit_penalty_bases(det_equivalent)) - end current_multiplier = NaN + sf_cfg = _sf_config(score_function) + use_sf = !isnothing(sf_cfg) + for iter in 1:num_batches if !isnothing(schedule) multiplier = _penalty_multiplier_for(schedule, iter) if multiplier != current_multiplier _apply_deficit_penalty_multiplier!( - det_equivalent, penalty_bases, multiplier - ) + det_equivalent, penalty_bases, multiplier) current_multiplier = multiplier end end num_train_per_batch = adjust_hyperparameters(iter, opt_state, num_train_per_batch) - # Sample uncertainties + + score_params = use_sf ? sf_params(score_function, iter) : + ( + alpha = 1.0, + score_weight = 0.0, + perturbation_std = 0.0, + num_rollouts = 0, + active = false, + ) + uncertainty_samples = [sample(uncertainty_sampler) for _ in 1:num_train_per_batch] num_uncertainties = length(uncertainty_samples[1][1]) uncertainty_samples_vec = [ [ - [uncertainty_samples[s][stage][i][2] for i in 1:num_uncertainties] for - stage in 1:length(uncertainty_samples[1]) + [uncertainty_samples[s][stage][i][2] for i in 1:num_uncertainties] + for stage in 1:num_stages ] for s in 1:num_train_per_batch ] - # Calculate the gradient of the objective - # with respect to the parameters within the model: objective = 0.0 _reset_sample_log!(sample_log) grads = Flux.gradient(model) do m for s in 1:num_train_per_batch Flux.reset!(m) - init_state = Float32.(initial_state) - predicted_states = accumulate( - uncertainty_samples_vec[s]; init=init_state - ) do prev_state, uncertainties_t - return m(vcat(uncertainties_t, prev_state)) - end - states = vcat([init_state], predicted_states) - objective += simulate_multistage( - det_equivalent, - state_params_in, - state_params_out, - uncertainty_samples[s], - states; - integer_strategy=integer_strategy, - ) + x0 = Float32.(initial_state) + states = vcat([x0], accumulate( + uncertainty_samples_vec[s]; init=x0 + ) do prev, ξ + m(vcat(ξ, prev)) + end) + + dual_obj = simulate_multistage( + det_equivalent, state_params_in, state_params_out, + uncertainty_samples[s], states; + integer_strategy=integer_strategy) @ignore_derivatives sample_log(s, det_equivalent) + objective += score_params.alpha * dual_obj + + if score_params.active + advantages, perturbations = @ignore_derivatives( + _score_function_rollouts( + sf_cfg, + initial_state, + uncertainty_samples[s], + states; + perturbation_std = score_params.perturbation_std, + num_rollouts = score_params.num_rollouts, + ) + ) + for rollout in 1:score_params.num_rollouts + advantage = @ignore_derivatives advantages[rollout] + perturbation = @ignore_derivatives perturbations[rollout] + surrogate = _score_function_surrogate( + advantage, + perturbation, + states, + score_params.perturbation_std, + ) + objective += score_params.score_weight * + surrogate / Float32(score_params.num_rollouts) + end + end end objective /= num_train_per_batch return objective end record(sample_log, iter, model) && break - # Update the parameters so as to reduce the objective, - # according the chosen optimisation rule: - # Convert gradients from MutableTangent to plain NamedTuples for Flux.update! - grad = materialize_tangent(grads[1]) - Flux.update!(opt_state, model, grad) + Flux.update!(opt_state, model, materialize_tangent(grads[1])) end return model diff --git a/src/utils.jl b/src/utils.jl index f8306a3..6232c5f 100644 --- a/src/utils.jl +++ b/src/utils.jl @@ -323,6 +323,30 @@ function _apply_deficit_penalty_multiplier!( return models end +""" + SaveBest(best_loss::Float64, model_path::String) + +Callback that saves the best policy state seen during training. + +`SaveBest` is a small callable object used as a training callback. When called +as `callback(iter, model, loss)`, it compares `loss` with the best loss stored +so far. If the new loss is smaller, it copies `model` to CPU, normalizes any +recurrent layer state, and writes the Flux state to `model_path` with JLD2. +It returns `false`, so it records checkpoints without stopping training. + +# Arguments +- `best_loss::Float64`: incumbent loss. Use `Inf` to save the first observed + model. +- `model_path::String`: path of the JLD2 file that receives the best model + state. + +# Examples +```julia +callback = SaveBest(Inf, "best_policy.jld2") +train_multistage(policy, x0, subproblems, state_in, state_out, sampler; + record = (log, iter, model) -> callback(iter, model, mean(log.losses))) +``` +""" mutable struct SaveBest <: Function best_loss::Float64 model_path::String @@ -428,6 +452,9 @@ _reset_sample_log!(sample_log::SampleLog) = empty!(sample_log) _reset_sample_log!(sample_log) = sample_log function _total_objective_value(model::JuMP.Model) + if model.is_model_dirty + return get(model.ext, :_last_obj, 0.0) + end try return objective_value(model) catch diff --git a/test/runtests.jl b/test/runtests.jl index 3919e78..d9878ef 100644 --- a/test/runtests.jl +++ b/test/runtests.jl @@ -44,6 +44,8 @@ function build_subproblem( return subproblem, state_in, state_out, state_out_var, uncertainty end +include("test_score_function.jl") + @testset "DecisionRules.jl" begin @testset "pdual at infeasibility" begin subproblem1, state_in_1, state_out_1, state_out_var_1, uncertainty_1 = build_subproblem( diff --git a/test/test_score_function.jl b/test/test_score_function.jl new file mode 100644 index 0000000..e4ecf9d --- /dev/null +++ b/test/test_score_function.jl @@ -0,0 +1,382 @@ +using Statistics + +raw""" + _score_function_stage_model(; kwargs...) + +Build a one-dimensional linear stage model for score-function tests. + +The continuous version is + +```math +\begin{aligned} +\min_{u,x,\delta}\quad + & 30u + 10^4 |\delta| \\ +\text{s.t.}\quad + & x = x^{in} + \xi - u, \\ + & u \ge d, \\ + & \delta = x - \hat{x}. +\end{aligned} +``` + +When `integer = true`, the model adds a binary setup variable `z`, + +```math +u \le 10 z,\qquad z \in \{0,1\}, +``` + +and the objective becomes ``5z + 30u + 10^4|\delta|``. + +# Keywords +- `state_value::Real`: initial value for the input-state parameter. +- `target_value::Real`: initial value for the target parameter. +- `uncertainty_value::Real`: initial value for the uncertainty parameter. +- `demand::Real`: lower bound that forces positive ordering cost. +- `integer::Bool`: whether to include a binary setup decision. + +# Examples +```julia +model, state_in, target, state_out, uncertainty = + _score_function_stage_model(; integer = true) +``` +""" +function _score_function_stage_model(; + state_value::Real = 5.0, + target_value::Real = 4.0, + uncertainty_value::Real = 2.0, + demand::Real = 1.0, + integer::Bool = false, +) + # HiGHS keeps these tests fast and supports both LP and small MIP cases. + model = quiet_highs_model() + + # The order quantity is the operational decision whose cost we measure. + @variable(model, order >= 0.0) + + # The output state is what the policy target tries to guide. + @variable(model, state_out >= 0.0) + + # Parameters are updated by rollout helpers before every stage solve. + @variable(model, state_in in MOI.Parameter(Float64(state_value))) + @variable(model, target in MOI.Parameter(Float64(target_value))) + @variable(model, uncertainty in MOI.Parameter(Float64(uncertainty_value))) + + # The transition is intentionally simple so expected states are easy to audit. + @constraint(model, state_out == state_in + uncertainty - order) + + # A positive lower bound prevents the zero-cost solution from hiding bugs. + @constraint(model, order >= Float64(demand)) + + if integer + # The binary variable gives integer-strategy tests a real discrete object. + @variable(model, setup, Bin) + + # This links setup to order without changing the simple state equation. + @constraint(model, order <= 10.0 * setup) + + # The objective includes operational cost and the generated deficit cost. + _norm_deficit, deficit = create_deficit!(model, 1; penalty = 1.0e4) + @constraint(model, deficit[1] == state_out - target) + @objective(model, Min, 5.0 * setup + 30.0 * order + objective_function(model)) + else + # Continuous tests use the same deficit structure without a setup binary. + _norm_deficit, deficit = create_deficit!(model, 1; penalty = 1.0e4) + @constraint(model, deficit[1] == state_out - target) + @objective(model, Min, 30.0 * order + objective_function(model)) + end + + return model, state_in, target, state_out, uncertainty +end + +raw""" + _two_stage_score_function_fixture(; integer = false) + +Create a reusable two-stage score-function fixture. + +The fixture represents a two-stage rollout + +```math +Q(\hat{x}_{1:2}) + = + q_1(x_0,\xi_1;\hat{x}_1) + + + q_2(x_1,\xi_2;\hat{x}_2), +``` + +where each ``q_t`` is the one-dimensional stage model built by +[`_score_function_stage_model`](@ref). The two stages intentionally use +different parameter defaults so indexing mistakes change the solved model. + +# Keywords +- `integer::Bool`: whether stage models contain binary setup variables. + +# Examples +```julia +config, initial_state, uncertainties, targets = + _two_stage_score_function_fixture() +``` +""" +function _two_stage_score_function_fixture(; integer::Bool = false) + # Stage 1 starts from inventory 5 and observes uncertainty 2. + stage_1, state_in_1, target_1, state_out_1, uncertainty_1 = + _score_function_stage_model(; integer) + + # Stage 2 uses different parameter defaults to catch stage-index mistakes. + stage_2, state_in_2, target_2, state_out_2, uncertainty_2 = + _score_function_stage_model(; + state_value = 4.0, + target_value = 3.0, + uncertainty_value = 1.0, + integer, + ) + + # The config mirrors the shape used by train_multistage. + state_params_in = [[state_in_1], [state_in_2]] + state_params_out = [[(target_1, state_out_1)], [(target_2, state_out_2)]] + config = ScoreFunctionConfig( + [stage_1, stage_2], + state_params_in, + state_params_out; + num_rollouts = 4, + perturbation_std = 0.5, + ) + + # Targets include the initial state at index 1. + initial_state = [5.0] + targets = [[5.0], [4.0], [3.0]] + uncertainties = [ + [(uncertainty_1, 2.0)], + [(uncertainty_2, 1.0)], + ] + + return config, initial_state, uncertainties, targets +end + +@testset "Score-function gradient mixing" begin + @testset "ScoreFunctionConfig validates public arguments" begin + config, _, _, _ = _two_stage_score_function_fixture() + + @test config.dual_weight == 0.5 + @test config.perturbation_std == 0.5 + @test config.num_rollouts == 4 + @test config.baseline == :mean + + @test_throws ArgumentError ScoreFunctionConfig( + config.subproblems, + config.state_params_in[1:1], + config.state_params_out, + ) + @test_throws ArgumentError ScoreFunctionConfig( + config.subproblems, + config.state_params_in, + config.state_params_out; + dual_weight = -0.1, + ) + @test_throws ArgumentError ScoreFunctionConfig( + config.subproblems, + config.state_params_in, + config.state_params_out; + perturbation_std = 0.0, + ) + @test_throws ArgumentError ScoreFunctionConfig( + config.subproblems, + config.state_params_in, + config.state_params_out; + num_rollouts = 0, + ) + @test_throws ArgumentError ScoreFunctionConfig( + config.subproblems, + config.state_params_in, + config.state_params_out; + baseline = :median, + ) + end + + @testset "rollout_with_perturbation returns operational cost" begin + config, initial_state, uncertainties, targets = + _two_stage_score_function_fixture() + + # Zero perturbation should still solve the staged rollout successfully. + zero_cost = DecisionRules.rollout_with_perturbation( + config, + initial_state, + uncertainties, + targets, + [[0.0], [0.0]], + ) + + # A nonzero perturbation exercises target parameter updates. + perturbed_cost = DecisionRules.rollout_with_perturbation( + config, + initial_state, + uncertainties, + targets, + [[0.1], [-0.2]], + ) + + @test isfinite(zero_cost) + @test isfinite(perturbed_cost) + @test zero_cost > 0.0 + @test perturbed_cost > 0.0 + end + + @testset "_score_function_rollouts samples centered advantages" begin + config, initial_state, uncertainties, targets = + _two_stage_score_function_fixture() + + Random.seed!(42) + advantages, perturbations = DecisionRules._score_function_rollouts( + config, + initial_state, + uncertainties, + targets; + perturbation_std = 0.5, + num_rollouts = 6, + ) + + @test length(advantages) == 6 + @test length(perturbations) == 6 + @test all(isfinite, advantages) + @test all(length(rollout) == 2 for rollout in perturbations) + @test all(length(stage) == 1 for rollout in perturbations for stage in rollout) + + # The default :mean baseline centers advantages by construction. + @test sum(advantages) ≈ 0.0 atol = 1.0e-8 + end + + @testset "_score_function_surrogate matches Gaussian location score" begin + # These targets are differentiable arrays in the training loop. + targets = [[1.0f0], [2.0f0], [4.0f0]] + + # Perturbations are actual target perturbations, not standard normals. + perturbations = [[0.5], [-0.25]] + + surrogate = DecisionRules._score_function_surrogate( + 3.0, + perturbations, + targets, + 0.5, + ) + + # 3 * ((0.5 / 0.25) * 2 + (-0.25 / 0.25) * 4) == 0. + @test surrogate ≈ 0.0f0 + end + + @testset "sf_params reports scheduled ASCII-named fields" begin + config, _, _, _ = _two_stage_score_function_fixture() + schedule = ScoreFunctionSchedule( + config; + sf_start = 10, + ramp_batches = 20, + perturbation_std_initial = 0.1, + num_rollouts_initial = 2, + ) + + before_start = sf_params(schedule, 9) + @test before_start.active == false + @test before_start.alpha == 1.0 + @test before_start.score_weight == 0.0 + + at_start = sf_params(schedule, 10) + @test at_start.active == true + @test at_start.alpha == 1.0 + @test at_start.num_rollouts == 2 + + halfway = sf_params(schedule, 20) + @test halfway.active == true + @test 0.0 < halfway.score_weight < 0.5 + @test halfway.perturbation_std > 0.1 + + after_ramp = sf_params(schedule, 30) + @test after_ramp.alpha ≈ config.dual_weight + @test after_ramp.score_weight ≈ 1.0 - config.dual_weight + @test after_ramp.perturbation_std ≈ config.perturbation_std + @test after_ramp.num_rollouts == config.num_rollouts + + static_params = sf_params(config, 1) + @test static_params.active == true + @test static_params.alpha == config.dual_weight + end + + @testset "rollout solves integer models exactly as written" begin + config, initial_state, uncertainties, targets = + _two_stage_score_function_fixture(; integer = true) + + cost = DecisionRules.rollout_with_perturbation( + config, + initial_state, + uncertainties, + targets, + [[0.1], [0.0]], + ) + + @test isfinite(cost) + @test any(JuMP.is_binary, JuMP.all_variables(config.subproblems[1])) + end + + @testset "train_multistage accepts ScoreFunctionConfig on deterministic equivalent" begin + # Build the deterministic-equivalent problem used by the dual path. + stage_1, state_in_1, target_1, state_out_1, uncertainty_1 = + build_subproblem(10; subproblem = quiet_highs_model()) + stage_2, state_in_2, target_2, state_out_2, uncertainty_2 = + build_subproblem( + 10; + state_i_val = 4.0, + state_out_val = 3.0, + uncertainty_val = 1.0, + subproblem = quiet_highs_model(), + ) + subproblems = [stage_1, stage_2] + state_params_in = Vector{Vector{Any}}(undef, 2) + state_params_in .= [[state_in_1], [state_in_2]] + state_params_out = Vector{Vector{Tuple{Any,VariableRef}}}(undef, 2) + state_params_out .= [[(target_1, state_out_1)], [(target_2, state_out_2)]] + uncertainty_samples = [[(uncertainty_1, [2.0])], [(uncertainty_2, [1.0])]] + + det_equivalent, deterministic_sampler = DecisionRules.deterministic_equivalent!( + quiet_highs_model(), + subproblems, + state_params_in, + state_params_out, + [5.0], + uncertainty_samples, + ) + + # Build separate rollout models so the score-function solves do not + # mutate the deterministic-equivalent model. + score_config, _, _, _ = _two_stage_score_function_fixture() + score_config = ScoreFunctionConfig( + score_config.subproblems, + score_config.state_params_in, + score_config.state_params_out; + dual_weight = 0.5, + perturbation_std = 0.3, + num_rollouts = 2, + ) + + Random.seed!(222) + policy = Chain(Dense(2, 8, relu), Dense(8, 1)) + + Random.seed!(42) + train_multistage( + policy, + [5.0], + det_equivalent, + state_params_in, + state_params_out, + deterministic_sampler; + num_batches = 4, + num_train_per_batch = 2, + score_function = score_config, + ) + + objective = simulate_multistage( + det_equivalent, + state_params_in, + state_params_out, + [5.0], + sample(deterministic_sampler), + policy, + ) + @test isfinite(objective) + end +end From b74b6c930d86999ffd952892d7b4b4d029c7cbe8 Mon Sep 17 00:00:00 2001 From: Andrew Rosemberg Date: Fri, 19 Jun 2026 21:49:36 -0400 Subject: [PATCH 04/17] add back results --- docs/src/examples/inventory.jl | 9 +++++++++ 1 file changed, 9 insertions(+) diff --git a/docs/src/examples/inventory.jl b/docs/src/examples/inventory.jl index 385a465..f104491 100644 --- a/docs/src/examples/inventory.jl +++ b/docs/src/examples/inventory.jl @@ -287,3 +287,12 @@ rollout_cost = simulate_multistage( # ![Relaxed results](../assets/inventory_relaxed_results.png) # # ![Integer results](../assets/inventory_integer_results.png) + +# | Method | N | Mean cost | Std | 95% CI | vs TS-DDR (FD) | Fit (s) | Eval (s) | +# |:-------------------------|----:|----------:|------:|-------:|---------------:|--------:|---------:| +# | TS-DDR (FixedDiscrete) | 300 | 8015.8 | 719.5 | 81.4 | +0.0% | 339.2 | 0.0112 | +# | TS-DDR (ContRelax) | 300 | 8318.1 | 720.0 | 81.5 | +3.8% | 111.0 | 0.0117 | +# | SDDP (MIP fwd) | 300 | 5871.6 | 1087.4 | 123.1 | -26.7% | 0.0 | 159.9310 | +# | SDDP (LP relax) | 300 | 8274.2 | 912.5 | 103.3 | +3.2% | 0.0 | 18.5475 | +# | Base-stock (S\*=160) | 300 | 9035.6 | 506.8 | 57.3 | +12.7% | 0.0 | 0.0000 | +# | Random (untrained) | 300 | 9594.6 | 361.1 | 40.9 | +19.7% | 0.0 | 0.0120 | \ No newline at end of file From 4b52d3de66844333fe26c5f573d6f1bf1dc0b519 Mon Sep 17 00:00:00 2001 From: Andrew Rosemberg Date: Fri, 19 Jun 2026 23:39:55 -0400 Subject: [PATCH 05/17] update inventory policy --- .gitignore | 5 +- docs/src/examples/inventory.jl | 104 ++++- .../build_inventory_problem.jl | 361 ++++++++++++++++++ examples/inventory_control/compare_results.jl | 188 +++++++-- .../inventory_control/evaluate_inventory.jl | 15 +- examples/inventory_control/solve_sddp.jl | 13 +- .../inventory_control/train_dr_inventory.jl | 309 ++++++++++++++- 7 files changed, 931 insertions(+), 64 deletions(-) diff --git a/.gitignore b/.gitignore index 3d17bf7..c019973 100644 --- a/.gitignore +++ b/.gitignore @@ -51,6 +51,7 @@ examples/**/.CondaPkg/* *.err *.tsv *.pdf -plan.md -memory.md +plan/ *_cuts.json +settings.json +*.sh diff --git a/docs/src/examples/inventory.jl b/docs/src/examples/inventory.jl index f104491..12c4d45 100644 --- a/docs/src/examples/inventory.jl +++ b/docs/src/examples/inventory.jl @@ -207,10 +207,85 @@ score_schedule = ScoreFunctionSchedule( # ## Policy # -# The policy maps recent observations to the next target state -# `(target_inventory, current_demand, last_demand)`. +# A DecisionRules policy is any callable `π(x) -> target` where `x` is the +# concatenation `[uncertainty..., state...]` and `target` is the desired +# next state. The only requirement is that it is differentiable via +# `Zygote.gradient` and registered with `Functors.@functor` so that +# `Flux.loadmodel!` can checkpoint its parameters. +# +# ### Feedforward policy +# +# The simplest architecture is a feedforward MLP. This policy is ex-ante: +# it ignores the current demand `d_t` (index 1) and uses only the state +# entries `[inventory, d_{t-1}, d_{t-2}]`. + +using Functors: @functor + +struct ExAntePolicy{N} + net::N +end + +@functor ExAntePolicy (net,) + +# The callable normalizes features to ≈[0,1] and maps through the network. +# The sigmoid output bounds the target to `[0, 500]`. +function (p::ExAntePolicy)(x) + inventory = Float32(x[2]) + d_prev = Float32(x[3]) + d_prev2 = Float32(x[4]) + features = Float32[inventory / 100, d_prev / 100, d_prev2 / 100] + target = 500f0 .* Flux.sigmoid.(p.net(features)) + return Float32[target[1], x[1], d_prev] +end + +Random.seed!(2024) +policy = ExAntePolicy(Chain(Dense(3, 32, relu), Dense(32, 24, relu), Dense(24, 1))) + +# ### Recurrent (LSTM) policy +# +# When the uncertainty process has temporal structure (regimes, trends, +# seasonality), a recurrent encoder can learn patterns that a feedforward +# MLP cannot detect from a fixed-length window. +# +# The design below uses `Flux.LSTMCell` to process one *lagged* demand +# value per stage. The LSTM hidden state accumulates across stages within +# a scenario, then resets between scenarios via `Flux.reset!`. +# +# The affine output `raw × 200 + 150` avoids sigmoid saturation and +# centers the target on typical inventory levels. -policy = build_exante_policy(; seed = 2024) +mutable struct RecurrentExAntePolicy{E,C,S} + encoder::E + combiner::C + state::S +end + +@functor RecurrentExAntePolicy (encoder, combiner) + +function (p::RecurrentExAntePolicy)(x) + d_prev = Float32(x[3]) + inventory = Float32(x[2]) + d_prev2 = Float32(x[4]) + T = eltype(first(p.state)) + encoded, new_state = p.encoder(T[d_prev / 100], p.state) + p.state = new_state + raw = p.combiner(vcat(encoded, T[inventory / 100, d_prev2 / 100])) + target = raw[1] * 200f0 + 150f0 + return Float32[target, x[1], d_prev] +end + +function Flux.reset!(p::RecurrentExAntePolicy) + p.state = Flux.initialstates(p.encoder) + return nothing +end + +Random.seed!(2024) +lstm_encoder = Flux.LSTMCell(1 => 16) +lstm_policy = RecurrentExAntePolicy( + lstm_encoder, + Dense(16 + 2, 1), + Flux.initialstates(lstm_encoder), +) # ## Training Calls # @@ -271,13 +346,26 @@ rollout_cost = simulate_multistage( # ## Experiment Scripts # -# The full benchmark scripts write CSV results and figures: +# Each variant can be trained independently via SLURM or directly: +# +# ```bash +# # Single variant +# julia --project=. train_dr_inventory.jl integer_lstm +# +# # All variants in parallel via SLURM +# cd examples/inventory_control && bash launch_all.sh +# ``` +# +# Available variant tags: `relaxed`, `relaxed_lstm`, `relaxed_hp`, +# `relaxed_lstm_hp`, `integer`, `integer_cr`, `integer_sf`, `integer_hp`, +# `integer_lstm`, `integer_lstm_sf`. +# +# After training, run the comparison script to regenerate tables and figures: # # ```bash -# julia --project=examples/inventory_control examples/inventory_control/train_dr_inventory.jl -# julia --project=examples/inventory_control examples/inventory_control/evaluate_inventory.jl -# julia --project=examples/inventory_control examples/inventory_control/solve_sddp.jl -# julia --project=examples/inventory_control examples/inventory_control/compare_results.jl +# julia --project=. evaluate_inventory.jl +# julia --project=. solve_sddp.jl +# julia --project=. compare_results.jl # ``` # # The figures used by this page are generated by `compare_results.jl`. diff --git a/examples/inventory_control/build_inventory_problem.jl b/examples/inventory_control/build_inventory_problem.jl index 4c5ebdf..b6137b8 100644 --- a/examples/inventory_control/build_inventory_problem.jl +++ b/examples/inventory_control/build_inventory_problem.jl @@ -39,40 +39,123 @@ const D_HI = Float64[44, 55, 81, 112, 153, 185, 164, 122, 88, 65, 49, 40] # --------------------------------------------------------------------------- # Latent demand process (stronger structure than original) # --------------------------------------------------------------------------- + +""" + sample_inventory_demand_path(rng = Random.default_rng()) -> Vector{Float64} + +Draw one realization of the latent demand process over `T` periods. + +The process has three hidden components: +- a seasonal phase shift (uniform in 0:T-1); +- a persistent regime ∈ {-1, 0, 1} with 4% switching probability; +- an AR(1) shock with coefficient 0.92. + +None of these are observed by the policy — only realized demand values. + +# Arguments +- `rng::AbstractRNG`: random number generator. + +# Examples +```julia +path = sample_inventory_demand_path() +``` +""" function sample_inventory_demand_path(rng::AbstractRNG=Random.default_rng()) + # Draw a random seasonal phase offset so demand peaks at different months. phase_shift = rand(rng, 0:(INVENTORY_T - 1)) + + # Draw the initial demand regime (low / neutral / high). regime = rand(rng, (-1.0, 0.0, 1.0)) + + # Initialize the AR(1) shock ε₀ = 0. shock = 0.0 + + # Pre-allocate the demand path vector. path = Vector{Float64}(undef, INVENTORY_T) + for t in 1:INVENTORY_T + # Map period t to the shifted seasonal index κ_t = 1 + ((t+φ-1) mod T). seasonal_t = mod1(t + phase_shift, INVENTORY_T) + + # With 4% probability, jump to a new demand regime. if rand(rng) < 0.04 regime = rand(rng, (-1.0, 0.0, 1.0)) end + + # Update the AR(1) shock: ε_t = 0.92 ε_{t-1} + 0.35 η_t. shock = 0.92 * shock + 0.35 * randn(rng) + + # Compute the seasonal center μ_κ = (D_LO[κ] + D_HI[κ]) / 2. center = (D_LO[seasonal_t] + D_HI[seasonal_t]) / 2 + + # Compute the seasonal half-width w_κ = (D_HI[κ] - D_LO[κ]) / 2. half_width = (D_HI[seasonal_t] - D_LO[seasonal_t]) / 2 + + # Demand: d_t = μ_κ + w_κ · (0.85·regime + 0.42·shock + 0.12·noise). demand = center + half_width * (0.85 * regime + 0.42 * shock + 0.12 * randn(rng)) + + # Clip demand to [5, D_HI[κ] + 0.55·w_κ] to prevent negative or extreme values. path[t] = clamp(demand, 5.0, D_HI[seasonal_t] + 0.55 * half_width) end + return path end # --------------------------------------------------------------------------- # DecisionRules sampler # --------------------------------------------------------------------------- + +""" + InventoryProcessSampler + +Wraps JuMP demand parameters so `DecisionRules.sample` returns uncertainty +realizations in the format expected by `train_multistage` and +`simulate_multistage`. + +# Fields +- `params::Vector{VariableRef}`: one demand parameter per stage. +""" struct InventoryProcessSampler params::Vector{VariableRef} end +""" + DecisionRules.sample(sampler::InventoryProcessSampler) + +Draw one demand path and return it as a vector of `[(param, value)]` pairs. +""" function DecisionRules.sample(sampler::InventoryProcessSampler) + # Draw a fresh demand path from the latent process. demand_path = sample_inventory_demand_path() + + # Pair each stage's JuMP parameter with the sampled demand value. return [[(sampler.params[t], demand_path[t])] for t in 1:INVENTORY_T] end # --------------------------------------------------------------------------- # Stage-wise subproblems # --------------------------------------------------------------------------- + +""" + build_inventory_subproblems(; kwargs...) -> (subproblems, state_in, state_out, sampler, x0) + +Build `T` independent JuMP stage models for stage-wise rollout evaluation. + +Each model has demand as a parameter, input state `(inventory, d_{t-1}, +d_{t-2})`, and a target constraint on mid-period inventory `s_mid` using +`create_deficit!`. + +Returns the five-tuple expected by `simulate_multistage` and +`train_multistage`. + +# Keyword Arguments +- `T`, `K`, `c`, `h`, `p`, `Q_max`: problem parameters. +- `I_0`: initial inventory. +- `num_scenarios`: number of uncertainty samples per SGD batch. +- `penalty`: target-deficit penalty λ. +- `seed`: RNG seed for demand sampling. +- `integer`: whether to include binary setup variable z. +""" function build_inventory_subproblems(; T = INVENTORY_T, K = INVENTORY_K, @@ -86,49 +169,84 @@ function build_inventory_subproblems(; seed = 42, integer = true, ) + # Fix the random seed so demand samples are reproducible. Random.seed!(seed) + + # Pre-allocate one JuMP model per stage. subproblems = Vector{JuMP.Model}(undef, T) + + # Each stage has 3 input-state parameters: (inventory, d_{t-1}, d_{t-2}). state_params_in = Vector{Vector{Any}}(undef, T) + + # Each stage has 3 output pairs: (target_param, realized_variable). state_params_out = Vector{Vector{Tuple{Any,VariableRef}}}(undef, T) + + # One demand parameter per stage. uncertainty_params = Vector{VariableRef}(undef, T) for t in 1:T + # Create a HiGHS LP/MIP model for this stage. m = Model(optimizer_with_attributes(HiGHS.Optimizer, "output_flag" => false)) set_silent(m) + # --- Decision variables --- + # q: order quantity, bounded by capacity Q_max. @variable(m, 0 <= q <= Q_max) + # s_mid: mid-period inventory after order arrives but before demand. @variable(m, s_mid) + # s_out: end-of-period inventory after demand realizes. @variable(m, s_out) + # inv_hold: positive part of s_out (holding cost component). @variable(m, inv_hold >= 0) + # back: negative part of s_out (backlog cost component). @variable(m, back >= 0) + # Demand pass-through to the next stage state. @variable(m, last_demand_out) @variable(m, prev_demand_out) + # --- Parametric inputs (set before each solve) --- + # s_in: incoming inventory from the previous stage. @variable(m, s_in in MOI.Parameter(I_0)) + # last_demand_in: demand observed one period ago (part of state). @variable(m, last_demand_in in MOI.Parameter(INVENTORY_LAST_DEMAND0)) + # prev_demand_in: demand observed two periods ago (part of state). @variable(m, prev_demand_in in MOI.Parameter(INVENTORY_PREV_DEMAND0)) + # demand: current-period demand realization (uncertainty). @variable(m, demand in MOI.Parameter((D_LO[t] + D_HI[t]) / 2)) + # s_target: target mid-period inventory from the policy. @variable(m, s_target in MOI.Parameter(I_0)) + # Target pass-throughs for demand state entries. @variable(m, last_demand_target in MOI.Parameter(INVENTORY_LAST_DEMAND0)) @variable(m, prev_demand_target in MOI.Parameter(INVENTORY_PREV_DEMAND0)) if integer + # z ∈ {0,1}: binary setup decision. @variable(m, z, Bin) + # If z = 0, no order is allowed: q ≤ Q_max · z. @constraint(m, q <= Q_max * z) + # Objective: K·z + c·q + h·hold + p·backlog. @objective(m, Min, K * z + c * q + h * inv_hold + p * back) else + # Relaxed objective: no setup cost or binary variable. @objective(m, Min, c * q + h * inv_hold + p * back) end + # s_mid = s_in + q: order arrives before demand. @constraint(m, s_mid == s_in + q) + # s_out = s_mid - demand: demand subtracts from inventory. @constraint(m, s_out == s_mid - demand) + # Pass current demand to next stage as "last demand". @constraint(m, last_demand_out == demand) + # Pass previous "last demand" to next stage as "prev demand". @constraint(m, prev_demand_out == last_demand_in) + # Split end-of-period inventory into holding and backlog parts. @constraint(m, inv_hold - back == s_out) + # L1 target-deficit penalty: λ · |s_mid - ŝ_target|. _, deficit = create_deficit!(m, 1; penalty_l1=penalty) @constraint(m, deficit[1] == s_mid - s_target) + # Store the model and parameter mappings. subproblems[t] = m state_params_in[t] = Any[s_in, last_demand_in, prev_demand_in] state_params_out[t] = [ @@ -139,6 +257,7 @@ function build_inventory_subproblems(; uncertainty_params[t] = demand end + # Return the five-tuple: (models, state_in, state_out, sampler, x0). return subproblems, state_params_in, state_params_out, InventoryProcessSampler(uncertainty_params), [I_0, INVENTORY_LAST_DEMAND0, INVENTORY_PREV_DEMAND0] @@ -147,6 +266,39 @@ end # --------------------------------------------------------------------------- # Deterministic equivalent (full-horizon) # --------------------------------------------------------------------------- + +""" + build_inventory_det_equivalent(; kwargs...) -> (model, state_in, state_out, sampler, x0) + +Build a single JuMP model coupling all `T` stages for direct transcription +training. + +The deterministic equivalent jointly optimizes over the full horizon. Target +constraints appear as NormOneCone (L1) penalties so the training gradient +captures inter-stage cost coupling that stage-wise rollouts miss. + +The penalty term is + +```math +\\lambda \\sum_{t=1}^{T} |s_t^{mid} - \\hat{s}_t| . +``` + +# Keyword Arguments +- `T`, `K`, `c`, `h`, `p`, `Q_max`: problem parameters. +- `I_0`: initial inventory. +- `num_scenarios`: number of uncertainty samples per SGD batch. +- `penalty`: target-deficit penalty ``\\lambda``. +- `seed`: RNG seed for demand sampling. +- `integer`: whether to include binary setup variable z. + +# Examples +```julia +model, spi, spo, sampler, x0 = build_inventory_det_equivalent(; + num_scenarios = 50, + integer = true, +) +``` +""" function build_inventory_det_equivalent(; T = INVENTORY_T, K = INVENTORY_K, @@ -160,44 +312,68 @@ function build_inventory_det_equivalent(; seed = 42, integer = true, ) + # Fix the random seed so demand samples are reproducible. Random.seed!(seed) + + # One monolithic model for the entire T-period horizon. m = Model(optimizer_with_attributes(HiGHS.Optimizer, "output_flag" => false)) set_silent(m) + # --- Decision variables (one per stage, indexed 1:T) --- + # q[t]: order quantity in period t. @variable(m, 0 <= q[1:T] <= Q_max) + # s_mid[t]: mid-period inventory after order arrives. @variable(m, s_mid[1:T]) + # s_out[t]: end-of-period inventory after demand. @variable(m, s_out[1:T]) + # Demand pass-through state variables. @variable(m, last_demand_out[1:T]) @variable(m, prev_demand_out[1:T]) + # Holding and backlog split of s_out. @variable(m, inv_hold[1:T] >= 0) @variable(m, back[1:T] >= 0) + # --- Parametric inputs (set before each DE solve) --- + # Initial state at t = 0. @variable(m, s_init in MOI.Parameter(I_0)) @variable(m, last_demand_init in MOI.Parameter(INVENTORY_LAST_DEMAND0)) @variable(m, prev_demand_init in MOI.Parameter(INVENTORY_PREV_DEMAND0)) + # Demand realizations for each period (set per scenario). @variable(m, demand[t=1:T] in MOI.Parameter((D_LO[t] + D_HI[t]) / 2)) + # Target state from the policy (set per scenario). @variable(m, s_target[t=1:T] in MOI.Parameter(I_0)) @variable(m, last_demand_target[t=1:T] in MOI.Parameter(INVENTORY_LAST_DEMAND0)) @variable(m, prev_demand_target[t=1:T] in MOI.Parameter(INVENTORY_PREV_DEMAND0)) if integer + # z[t] ∈ {0,1}: binary setup decision. @variable(m, z[1:T], Bin) + # q[t] ≤ Q_max · z[t]: no order if setup is off. @constraint(m, [t=1:T], q[t] <= Q_max * z[t]) end + # --- Dynamics --- + # First stage links to the initial inventory parameter. @constraint(m, s_mid[1] == s_init + q[1]) + # Subsequent stages chain from the previous end-of-period inventory. @constraint(m, [t=2:T], s_mid[t] == s_out[t-1] + q[t]) + # Demand subtracts from mid-period inventory. @constraint(m, [t=1:T], s_out[t] == s_mid[t] - demand[t]) + # Pass demand through to state for the next stage. @constraint(m, [t=1:T], last_demand_out[t] == demand[t]) @constraint(m, prev_demand_out[1] == prev_demand_init) @constraint(m, [t=2:T], prev_demand_out[t] == last_demand_out[t-1]) + # Split end-of-period inventory into holding and backlog. @constraint(m, [t=1:T], inv_hold[t] - back[t] == s_out[t]) + # --- Target-deficit penalty via NormOneCone --- + # norm_deficit_arr[t] ≥ |s_mid[t] - s_target[t]| (L1 norm). @variable(m, norm_deficit_arr[1:T] >= 0.0) @variable(m, deficit_arr[1:T]) @constraint(m, [t=1:T], deficit_arr[t] == s_mid[t] - s_target[t]) @constraint(m, [t=1:T], [norm_deficit_arr[t]; deficit_arr[t:t]] in MOI.NormOneCone(2)) + # --- Objective: operational cost + target penalty --- if integer @objective(m, Min, sum(K * z[t] + c * q[t] + h * inv_hold[t] + p * back[t] for t in 1:T) + @@ -208,14 +384,20 @@ function build_inventory_det_equivalent(; penalty * sum(norm_deficit_arr)) end + # --- Build parameter mappings for DecisionRules interface --- state_params_in = Vector{Vector{Any}}(undef, T) state_params_out = Vector{Vector{Tuple{Any,VariableRef}}}(undef, T) uncertainty_params = Vector{VariableRef}(undef, T) + # Stage 1 reads from the initial-state parameters. state_params_in[1] = Any[s_init, last_demand_init, prev_demand_init] + + # Stages 2..T read from the previous stage's realized output variables. for t in 2:T state_params_in[t] = Any[s_out[t-1], last_demand_out[t-1], prev_demand_out[t-1]] end + + # Each stage maps (target_parameter → realized_variable) for gradient reading. for t in 1:T state_params_out[t] = [ (s_target[t], s_out[t]), @@ -225,6 +407,7 @@ function build_inventory_det_equivalent(; uncertainty_params[t] = demand[t] end + # Return the five-tuple: (model, state_in, state_out, sampler, x0). return m, state_params_in, state_params_out, InventoryProcessSampler(uncertainty_params), [I_0, INVENTORY_LAST_DEMAND0, INVENTORY_PREV_DEMAND0] @@ -233,28 +416,89 @@ end # --------------------------------------------------------------------------- # Policies # --------------------------------------------------------------------------- + +""" + base_stock_policy(S_star) -> Function + +Return a constant-target base-stock policy. + +The target is the mid-period inventory level ``s^{mid} = S^*``; pass-through +state entries are current and lagged demand. + +# Arguments +- `S_star::Float64`: order-up-to level. + +# Examples +```julia +policy = base_stock_policy(160.0) +target = policy(Float32[d_t, inventory, d_{t-1}, d_{t-2}]) +``` +""" function base_stock_policy(S_star::Float64) + # Return a closure: target is always S*, pass through d_t and d_{t-1}. return x -> Float32[S_star, x[1], x[2]] end +""" + ExAnteInventoryPolicy{N} + +Feedforward ex-ante inventory policy. + +Input: `[d_t, inventory, d_{t-1}, d_{t-2}]`. The policy ignores the current +demand `d_t` to respect the ex-ante information pattern. Features passed to +the network are `[inventory/100, d_{t-1}/100, d_{t-2}/100]`. + +Output: `[500 σ(net(features)), d_t, d_{t-1}]` — a target for mid-period +inventory, plus pass-through state entries. + +# Fields +- `net::N`: Flux `Chain` mapping ℝ³ → ℝ¹. +""" struct ExAnteInventoryPolicy{N} net::N end Functors.@functor ExAnteInventoryPolicy (net,) +Flux.reset!(::ExAnteInventoryPolicy) = nothing + function (policy::ExAnteInventoryPolicy)(x) + # Unpack the input vector: [d_t, inventory, d_{t-1}, d_{t-2}]. current_demand = Float32(x[1]) inventory = Float32(x[2]) last_demand = Float32(x[3]) prev_demand = Float32(x[4]) + + # Scale features to ≈ [0, 1] range for stable neural network training. order_features = Float32[inventory / 100, last_demand / 100, prev_demand / 100] + + # Map through the network and squash to [0, 500] via sigmoid. target = 500f0 .* Flux.sigmoid.(policy.net(order_features)) + + # Return [target_s_mid, d_t, d_{t-1}] — target inventory + pass-through state. return Float32[target[1], current_demand, last_demand] end +""" + build_exante_policy(; seed = 2024) -> ExAnteInventoryPolicy + +Construct the default feedforward ex-ante policy. + +Architecture: Dense(3 → 32, relu) → Dense(32 → 24, relu) → Dense(24 → 1). + +# Keyword Arguments +- `seed::Int`: random seed for weight initialization. + +# Examples +```julia +policy = build_exante_policy(; seed = 2024) +``` +""" function build_exante_policy(; seed=2024) + # Fix the random seed for reproducible weight initialization. Random.seed!(seed) + + # Three-layer feedforward: 3 inputs → 32 hidden → 24 hidden → 1 output. net = Chain( Dense(3, 32, relu), Dense(32, 24, relu), @@ -262,3 +506,120 @@ function build_exante_policy(; seed=2024) ) return ExAnteInventoryPolicy(net) end + +# --------------------------------------------------------------------------- +# LSTM ex-ante policy (temporal demand encoding, strictly ex-ante) +# --------------------------------------------------------------------------- + +""" + LSTMExAntePolicy{E,C,S} + +Recurrent ex-ante inventory policy with temporal demand encoding. + +An `LSTMCell` encoder processes the *lagged* demand ``d_{t-1}`` at each +stage, building a hidden representation of the demand history. The combiner +maps the LSTM output concatenated with `[inventory, d_{t-2}]` to a single +target value. + +The policy is strictly ex-ante: it never sees the current-period demand +``d_t``. Temporal information comes from the LSTM state accumulated over +previous stages. + +Output parameterization is affine: `raw * 200 + 150`, centered on typical +mid-period inventory and free from sigmoid saturation. + +# Fields +- `encoder::E`: `Flux.LSTMCell` processing one demand value per stage. +- `combiner::C`: `Dense` layer mapping encoded + state features to target. +- `state::S`: current LSTM hidden state (reset between scenarios). + +# Examples +```julia +policy = build_lstm_exante_policy(; seed = 2024, hidden = 16) +Flux.reset!(policy) +target = policy(Float32[d_t, inventory, d_{t-1}, d_{t-2}]) +``` +""" +mutable struct LSTMExAntePolicy{E,C,S} + encoder::E + combiner::C + state::S +end + +Functors.@functor LSTMExAntePolicy (encoder, combiner) + +function (policy::LSTMExAntePolicy)(x) + # Extract features from input: [d_t, inventory, d_{t-1}, d_{t-2}]. + # Only d_{t-1} (lagged) feeds the LSTM — d_t is NOT used (ex-ante). + last_demand = Float32(x[3]) + inventory = Float32(x[2]) + prev_demand = Float32(x[4]) + + # Match the element type of the LSTM state (Float32 during training). + T = eltype(first(policy.state)) + + # Feed the normalized lagged demand through the LSTM cell. + # The cell returns the encoded output and the updated hidden state. + encoded, new_state = policy.encoder(T[last_demand / 100], policy.state) + + # Update the hidden state for the next stage call within this scenario. + policy.state = new_state + + # Concatenate LSTM output with current inventory and prev demand. + combined = vcat(encoded, T[inventory / 100, prev_demand / 100]) + + # Map combined features to a single scalar through the Dense combiner. + raw = policy.combiner(combined) + + # Affine output: target = raw × 200 + 150 (centered, no saturation). + target_s_mid = raw[1] * 200f0 + 150f0 + + # Return [target_s_mid, d_t, d_{t-1}] — target inventory + pass-through. + return Float32[target_s_mid, x[1], last_demand] +end + +""" + Flux.reset!(policy::LSTMExAntePolicy) -> Nothing + +Reset the LSTM hidden state to its initial value. + +Must be called before each scenario rollout so hidden state from previous +scenarios does not leak. +""" +function Flux.reset!(policy::LSTMExAntePolicy) + # Restore the LSTM hidden state to its fresh initial values. + policy.state = Flux.initialstates(policy.encoder) + return nothing +end + +""" + build_lstm_exante_policy(; seed = 2024, hidden = 16) -> LSTMExAntePolicy + +Construct an LSTM ex-ante policy. + +Architecture: LSTMCell(1 → hidden) encoder, Dense(hidden + 2 → 1) combiner. + +# Keyword Arguments +- `seed::Int`: random seed for weight initialization. +- `hidden::Int`: LSTM hidden dimension. + +# Examples +```julia +policy = build_lstm_exante_policy(; seed = 2024, hidden = 16) +``` +""" +function build_lstm_exante_policy(; seed=2024, hidden=16) + # Fix the random seed for reproducible weight initialization. + Random.seed!(seed) + + # LSTM cell: 1 input (normalized lagged demand) → hidden state. + encoder = Flux.LSTMCell(1 => hidden) + + # Dense combiner: [LSTM output; inventory; prev_demand] → 1 target. + combiner = Dense(hidden + 2, 1) + + # Initialize the LSTM hidden state to its default zeros. + state = Flux.initialstates(encoder) + + return LSTMExAntePolicy(encoder, combiner, state) +end diff --git a/examples/inventory_control/compare_results.jl b/examples/inventory_control/compare_results.jl index 20e256e..09b585d 100644 --- a/examples/inventory_control/compare_results.jl +++ b/examples/inventory_control/compare_results.jl @@ -7,7 +7,13 @@ This script expects the CSV files written by: - `evaluate_inventory.jl`; and - `solve_sddp.jl`. -It prints Markdown tables and writes the figures used by the documentation. +Results live in timestamped subdirectories under `results/`. Pass the run ID as +the first CLI argument, or omit it to use the most recent run: + +```bash +julia --project=. compare_results.jl # latest run +julia --project=. compare_results.jl 20260619_231417 # specific run +``` """ using CSV @@ -20,8 +26,44 @@ using StatsPlots include(joinpath(@__DIR__, "build_inventory_problem.jl")) -# All benchmark scripts write their raw CSV files here. -const RESULT_DIR = joinpath(@__DIR__, "results") +""" + resolve_result_dir(args) -> String + +Pick the results directory from CLI args or default to the most recent run. + +When the `results/` directory contains timestamped subdirectories +(e.g. `results/20260619_231417/`), the most recent one is used. If no +subdirectories exist, the flat `results/` directory itself is used for +backward compatibility with older runs. + +# Arguments +- `args`: `ARGS` from the script entry point. + +# Examples +```julia +result_dir = resolve_result_dir(ARGS) +``` +""" +function resolve_result_dir(args) + base = joinpath(@__DIR__, "results") + + if !isempty(args) + dir = joinpath(base, args[1]) + isdir(dir) || error("Run directory not found: $dir") + return dir + end + + subdirs = filter(d -> isdir(joinpath(base, d)), readdir(base)) + + if isempty(subdirs) + return base + end + + return joinpath(base, sort(subdirs)[end]) +end + +const RESULT_DIR = resolve_result_dir(ARGS) +println("Loading results from: $RESULT_DIR") # Documentation figures are checked into the docs asset directory. const DOCS_ASSET_DIR = normpath(joinpath(@__DIR__, "..", "..", "docs", "src", "assets")) @@ -318,7 +360,13 @@ function short_method_label(name::AbstractString, base_stock_level::Real) "TS-DDR (FixedDiscrete)" => "TS-DDR\n(FixedDisc)", "TS-DDR (ContRelax)" => "TS-DDR\n(ContRelax)", "TS-DDR (MixedGrad)" => "TS-DDR\n(MixedGrad)", + "TS-DDR (HighPenalty)" => "TS-DDR\n(HighPen)", + "TS-DDR (LSTM)" => "TS-DDR\n(LSTM)", + "TS-DDR (LSTM+SF)" => "TS-DDR\n(LSTM+SF)", "TS-DDR (trained)" => "TS-DDR", + "TS-DDR Relaxed (LSTM)" => "TS-DDR\n(LSTM)", + "TS-DDR Relaxed (HighPenalty)" => "TS-DDR\n(HighPen)", + "TS-DDR Relaxed (LSTM+HP)" => "TS-DDR\n(LSTM+HP)", "SDDP (PAR)" => "SDDP", "SDDP (MIP fwd)" => "SDDP\n(MIP fwd)", "SDDP (LP relax)" => "SDDP\n(LP relax)", @@ -343,15 +391,14 @@ colors = method_colors(length(results)) """ function method_colors(num_methods::Integer) # Keep colors stable between documentation rebuilds. - if num_methods == 4 - return [:steelblue, :darkgreen, :gold, :gray] - elseif num_methods == 5 - return [:steelblue, :royalblue, :darkgreen, :gold, :gray] - elseif num_methods == 6 - return [:steelblue, :royalblue, :darkgreen, :seagreen, :gold, :gray] - elseif num_methods == 7 - return [:steelblue, :royalblue, :darkorange, :darkgreen, :seagreen, :gold, :gray] - end + # Color assignments: TS-DDR variants in blues/oranges, SDDP in greens, + # baselines in warm tones and gray. + color_bank = [ + :steelblue, :royalblue, :darkorange, :mediumpurple, + :coral, :teal, :darkgreen, :seagreen, :gold, :gray, + ] + + num_methods <= length(color_bank) && return color_bank[1:num_methods] return palette(:auto, num_methods) end @@ -688,6 +735,11 @@ function relaxed_results() base_stock_costs = load_costs("relaxed", "basestock") random_costs = load_costs("relaxed", "random") + # Load optional tuned-variant costs. + lstm_costs = optional_costs("relaxed_lstm", "dr") + hp_costs = optional_costs("relaxed_hp", "dr") + lstm_hp_costs = optional_costs("relaxed_lstm_hp", "dr") + # Load scalar baseline metadata. base_stock_level = read_scalar(joinpath(RESULT_DIR, "relaxed_basestock_S_star.txt")) sddp_bound = read_scalar(joinpath(RESULT_DIR, "relaxed_sddp_bound.txt")) @@ -695,12 +747,31 @@ function relaxed_results() # Build display records in table order. results = [ MethodResult("TS-DDR (trained)", dr_costs), - MethodResult("SDDP (PAR)", sddp_costs), - MethodResult("Base-stock (S*=$(round(Int, base_stock_level)))", base_stock_costs), - MethodResult("Random (untrained)", random_costs), ] - return results, load_timing(["relaxed"]), base_stock_level, sddp_bound + # Insert tuned variants after the baseline feedforward. + !isnothing(hp_costs) && + push!(results, MethodResult("TS-DDR Relaxed (HighPenalty)", hp_costs)) + !isnothing(lstm_costs) && + push!(results, MethodResult("TS-DDR Relaxed (LSTM)", lstm_costs)) + !isnothing(lstm_hp_costs) && + push!(results, MethodResult("TS-DDR Relaxed (LSTM+HP)", lstm_hp_costs)) + + # Append non-TS-DDR baselines. + push!(results, MethodResult("SDDP (PAR)", sddp_costs)) + push!(results, MethodResult("Base-stock (S*=$(round(Int, base_stock_level)))", base_stock_costs)) + push!(results, MethodResult("Random (untrained)", random_costs)) + + # Collect timing tags for all present variants. + timing_tags = ["relaxed"] + isfile(joinpath(RESULT_DIR, "relaxed_lstm_dr_timing.csv")) && + push!(timing_tags, "relaxed_lstm") + isfile(joinpath(RESULT_DIR, "relaxed_hp_dr_timing.csv")) && + push!(timing_tags, "relaxed_hp") + isfile(joinpath(RESULT_DIR, "relaxed_lstm_hp_dr_timing.csv")) && + push!(timing_tags, "relaxed_lstm_hp") + + return results, load_timing(timing_tags), base_stock_level, sddp_bound end """ @@ -722,32 +793,44 @@ function integer_results() base_stock_costs = load_costs("integer", "basestock") random_costs = load_costs("integer", "random") - # The mixed-gradient variant is optional because it may be expensive to run. + # Optional variants — load only if the result file exists. mixed_gradient_costs = optional_costs("integer_sf", "dr") + hp_costs = optional_costs("integer_hp", "dr") + lstm_costs = optional_costs("integer_lstm", "dr") + lstm_sf_costs = optional_costs("integer_lstm_sf", "dr") # Load scalar baseline metadata. base_stock_level = read_scalar(joinpath(RESULT_DIR, "integer_basestock_S_star.txt")) sddp_bound = read_scalar(joinpath(RESULT_DIR, "integer_sddp_bound.txt")) - # Build the mandatory method list first. + # Build the method list: original TS-DDR variants first. results = [ MethodResult("TS-DDR (FixedDiscrete)", fixed_discrete_costs), MethodResult("TS-DDR (ContRelax)", continuous_relaxation_costs), - MethodResult("SDDP (MIP fwd)", sddp_mip_forward_costs), - MethodResult("SDDP (LP relax)", sddp_lp_relaxation_costs), - MethodResult("Base-stock (S*=$(round(Int, base_stock_level)))", base_stock_costs), - MethodResult("Random (untrained)", random_costs), ] - if !isnothing(mixed_gradient_costs) - # Insert mixed gradients after the two TS-DDR dual-only variants. - insert!(results, 3, MethodResult("TS-DDR (MixedGrad)", mixed_gradient_costs)) - end - - # Include optional timing tags only when their result file exists. + # Insert optional TS-DDR variants in logical order. + !isnothing(mixed_gradient_costs) && + push!(results, MethodResult("TS-DDR (MixedGrad)", mixed_gradient_costs)) + !isnothing(hp_costs) && + push!(results, MethodResult("TS-DDR (HighPenalty)", hp_costs)) + !isnothing(lstm_costs) && + push!(results, MethodResult("TS-DDR (LSTM)", lstm_costs)) + !isnothing(lstm_sf_costs) && + push!(results, MethodResult("TS-DDR (LSTM+SF)", lstm_sf_costs)) + + # Append non-TS-DDR baselines. + push!(results, MethodResult("SDDP (MIP fwd)", sddp_mip_forward_costs)) + push!(results, MethodResult("SDDP (LP relax)", sddp_lp_relaxation_costs)) + push!(results, MethodResult("Base-stock (S*=$(round(Int, base_stock_level)))", base_stock_costs)) + push!(results, MethodResult("Random (untrained)", random_costs)) + + # Collect timing tags for all present variants. timing_tags = ["integer", "integer_cr"] - isfile(joinpath(RESULT_DIR, "integer_sf_dr_timing.csv")) && - push!(timing_tags, "integer_sf") + for tag in ["integer_sf", "integer_hp", "integer_lstm", "integer_lstm_sf"] + isfile(joinpath(RESULT_DIR, "$(tag)_dr_timing.csv")) && + push!(timing_tags, tag) + end return results, load_timing(timing_tags), base_stock_level, sddp_bound end @@ -769,9 +852,46 @@ function integer_curve_specs() ("integer_cr", "ContRelax", :royalblue), ] - if isfile(joinpath(RESULT_DIR, "integer_sf_training_curve.csv")) - # MixedGrad appears only when that expensive variant has been run. - push!(specs, ("integer_sf", "MixedGrad", :darkorange)) + # Optional variants appear only when their training curve exists. + optional = [ + ("integer_sf", "MixedGrad", :darkorange), + ("integer_hp", "HighPenalty", :mediumpurple), + ("integer_lstm", "LSTM", :coral), + ("integer_lstm_sf", "LSTM+SF", :teal), + ] + + for spec in optional + isfile(joinpath(RESULT_DIR, "$(spec[1])_training_curve.csv")) && + push!(specs, spec) + end + + return specs +end + +""" + relaxed_curve_specs() + +Return training-curve plot specs for the relaxed comparison. + +# Examples +```julia +curves = relaxed_curve_specs() +``` +""" +function relaxed_curve_specs() + # Baseline feedforward is always present. + specs = [("relaxed", "Feedforward", :steelblue)] + + # Optional tuned variants. + optional = [ + ("relaxed_hp", "HighPenalty", :mediumpurple), + ("relaxed_lstm", "LSTM", :coral), + ("relaxed_lstm_hp", "LSTM+HP", :teal), + ] + + for spec in optional + isfile(joinpath(RESULT_DIR, "$(spec[1])_training_curve.csv")) && + push!(specs, spec) end return specs @@ -802,7 +922,7 @@ function run_relaxed_comparison() base_stock_level = base_stock_level, sddp_tag = "relaxed", dr_tag = "relaxed", - curve_specs = [("relaxed", "TS-DDR", :steelblue)], + curve_specs = relaxed_curve_specs(), ) savefig(figure, joinpath(DOCS_ASSET_DIR, "inventory_relaxed_results.png")) diff --git a/examples/inventory_control/evaluate_inventory.jl b/examples/inventory_control/evaluate_inventory.jl index 9fd1f6a..a0e42f2 100644 --- a/examples/inventory_control/evaluate_inventory.jl +++ b/examples/inventory_control/evaluate_inventory.jl @@ -2,8 +2,16 @@ Evaluate non-neural baselines for the inventory control problem. Evaluates base-stock and random policies for both relaxed and integer cases. + +Pass a run ID as the first CLI argument, or omit to generate one from the +current timestamp: + +```bash +julia --project=. evaluate_inventory.jl 20260619_231417 +``` """ +using Dates using DecisionRules using JuMP using Flux @@ -12,6 +20,9 @@ using Random, Statistics include(joinpath(@__DIR__, "build_inventory_problem.jl")) +const RUN_ID = isempty(ARGS) ? + Dates.format(Dates.now(), "yyyymmdd_HHMMss") : ARGS[1] + const N_EVAL = 300 # ═══════════════════════════════════════════════════════════════════════════════ @@ -156,7 +167,7 @@ function evaluate_baselines(; tag::String, integer::Bool) println(" Mean: $(round(mean(rand_costs), digits=1)) ± $(round(std(rand_costs), digits=1))") # --- Save results --- - result_dir = joinpath(@__DIR__, "results") + result_dir = joinpath(@__DIR__, "results", RUN_ID) mkpath(result_dir) df_bs_traj = DataFrame(bs_traj, [Symbol("t$i") for i in 0:INVENTORY_T]) @@ -184,4 +195,4 @@ end evaluate_baselines(tag="relaxed", integer=false) println() evaluate_baselines(tag="integer", integer=true) -println("\nAll baseline results saved to results/") +println("\nAll baseline results saved to results/$RUN_ID/") diff --git a/examples/inventory_control/solve_sddp.jl b/examples/inventory_control/solve_sddp.jl index 81027f5..c3058bf 100644 --- a/examples/inventory_control/solve_sddp.jl +++ b/examples/inventory_control/solve_sddp.jl @@ -10,8 +10,16 @@ Two cases: 2. Integer: AlternativeForwardPass — forward pass solves true MIP (z ∈ {0,1}), backward pass uses LP relaxation (z ∈ [0,1]) to compute cuts with valid duals. Both models share the same PAR(1) demand structure. + +Pass a run ID as the first CLI argument, or omit to generate one from the +current timestamp: + +```bash +julia --project=. solve_sddp.jl 20260619_231417 +``` """ +using Dates using SDDP using JuMP using HiGHS @@ -21,6 +29,9 @@ using Random include(joinpath(@__DIR__, "build_inventory_problem.jl")) +const RUN_ID = isempty(ARGS) ? + Dates.format(Dates.now(), "yyyymmdd_HHMMss") : ARGS[1] + const N_SIM = 300 const ITERATION_LIMIT = 500 @@ -178,7 +189,7 @@ function rollout_sddp(model, n_sim; integer_round::Bool=false, mu=par_mu) return costs, traj_inv end -result_dir = joinpath(@__DIR__, "results") +result_dir = joinpath(@__DIR__, "results", RUN_ID) mkpath(result_dir) # ═══════════════════════════════════════════════════════════════════════════════ diff --git a/examples/inventory_control/train_dr_inventory.jl b/examples/inventory_control/train_dr_inventory.jl index 8599e12..42eca6e 100644 --- a/examples/inventory_control/train_dr_inventory.jl +++ b/examples/inventory_control/train_dr_inventory.jl @@ -1,16 +1,28 @@ """ Train TS-DDR policies for the inventory-control benchmark. -The benchmark compares four target-state decision-rule variants: +The benchmark compares target-state decision-rule variants across two axes: -1. relaxed continuous subproblems with ordinary LP duals; -2. integer subproblems with fixed-discrete local duals; -3. integer subproblems with continuous-relaxation duals; and -4. integer subproblems with fixed-discrete duals plus score-function rollouts. +**Gradient estimator** — how ∇_θ Q(w; θ) is computed for integer models: +1. fixed-discrete local duals (solve MIP → fix z → re-solve LP → read duals); +2. continuous-relaxation duals (relax z ∈ {0,1} → LP → read duals); +3. mixed gradient (α · dual + (1-α) · score-function REINFORCE correction). + +**Policy architecture** — which function class maps observations to targets: +- `ExAnteInventoryPolicy`: feedforward MLP, sigmoid output; +- `LSTMExAntePolicy`: recurrent encoder on lagged demand, affine output. + +Each variant is independent and can be run via: + + julia --project=. train_dr_inventory.jl + +where `` is one of `relaxed`, `integer`, `integer_cr`, `integer_sf`, +`integer_hp`, `integer_lstm`, `integer_lstm_sf`. """ using CSV using DataFrames +using Dates using DecisionRules using Flux using JLD2 @@ -22,13 +34,21 @@ include(joinpath(@__DIR__, "build_inventory_problem.jl")) # The script keeps generated models and CSV files out of the source directory. const EXAMPLE_DIR = @__DIR__ -const MODEL_DIR = joinpath(EXAMPLE_DIR, "models") -const RESULT_DIR = joinpath(EXAMPLE_DIR, "results") + +# Each run writes to results// so concurrent or successive runs never +# clobber each other. RUN_ID is set by launch_all.sh for batch submissions or +# generated from the current timestamp for standalone runs. +const RUN_ID = get(ENV, "RUN_ID", Dates.format(Dates.now(), "yyyymmdd_HHMMss")) +const RESULT_DIR = joinpath(EXAMPLE_DIR, "results", RUN_ID) +const MODEL_DIR = joinpath(EXAMPLE_DIR, "models", RUN_ID) # Create output directories before any training run tries to write into them. mkpath(MODEL_DIR) mkpath(RESULT_DIR) +println("Run ID: $RUN_ID") +println("Results → $RESULT_DIR") + # Use one fixed training sample size for every TS-DDR variant. const N_TRAIN_SCENARIOS = 50 @@ -60,6 +80,14 @@ gradient descent on sampled deterministic-equivalent objectives - `training_integer_strategy::AbstractIntegerStrategy`: dual-path strategy. - `score_function::Union{Nothing,ScoreFunctionConfig,ScoreFunctionSchedule}`: optional score-function estimator. +- `penalty::Float64`: target-deficit penalty λ. +- `policy_builder::Function`: zero-argument callable returning a fresh policy. +- `penalty_schedule_fn::Function`: `(variant) -> schedule` for target-penalty + multiplier ramp. + +The 8-argument constructor defaults `penalty = INVENTORY_PENALTY`, +`policy_builder = () -> build_exante_policy(; seed = 2024)`, and +`penalty_schedule_fn = penalty_schedule_for`. # Examples ```julia @@ -84,6 +112,22 @@ struct InventoryTrainingVariant warmup_batches::Int training_integer_strategy::AbstractIntegerStrategy score_function::Union{Nothing,ScoreFunctionConfig,ScoreFunctionSchedule} + penalty::Float64 + policy_builder::Function + penalty_schedule_fn::Function +end + +function InventoryTrainingVariant( + tag, integer, num_batches, train_per_batch, learning_rate, warmup_batches, + training_integer_strategy, score_function, +) + return InventoryTrainingVariant( + tag, integer, num_batches, train_per_batch, learning_rate, warmup_batches, + training_integer_strategy, score_function, + INVENTORY_PENALTY, + () -> build_exante_policy(; seed = 2024), + penalty_schedule_for, + ) end """ @@ -138,14 +182,24 @@ label = method_label(variant) ``` """ function method_label(variant::InventoryTrainingVariant) - # Score-function variants are named by the mixed-gradient estimator. + tag = variant.tag + + # --- Relaxed tuned variants --- + tag == "relaxed_lstm" && return "TS-DDR Relaxed (LSTM)" + tag == "relaxed_hp" && return "TS-DDR Relaxed (HighPenalty)" + tag == "relaxed_lstm_hp" && return "TS-DDR Relaxed (LSTM+HP)" + + # --- Integer tuned variants --- + tag == "integer_lstm" && return "TS-DDR (LSTM)" + tag == "integer_lstm_sf" && return "TS-DDR (LSTM+SF)" + tag == "integer_hp" && return "TS-DDR (HighPenalty)" + + # --- Original variants --- !isnothing(variant.score_function) && return "TS-DDR (MixedGrad)" - # ContinuousRelaxation means the dual path solves an LP relaxation. variant.training_integer_strategy isa ContinuousRelaxationIntegerStrategy && return "TS-DDR (ContRelax)" - # FixedDiscrete means the dual path fixes the MIP incumbent, then reads LP duals. variant.training_integer_strategy isa FixedDiscreteIntegerStrategy && return "TS-DDR (FixedDiscrete)" @@ -269,6 +323,9 @@ function rollout_policy( operational_costs = Vector{Float64}(undef, num_scenarios) for scenario in 1:num_scenarios + # Reset recurrent state for LSTM policies. + Flux.reset!(policy) + # Draw one demand path for this rollout. uncertainty_sample = sample(uncertainty_sampler) @@ -349,7 +406,7 @@ function build_training_problem(variant::InventoryTrainingVariant) # Training uses a deterministic equivalent so target-dual gradients are coupled. return build_inventory_det_equivalent(; num_scenarios = N_TRAIN_SCENARIOS, - penalty = INVENTORY_PENALTY, + penalty = variant.penalty, seed = 42, integer = variant.integer, ) @@ -373,7 +430,7 @@ function build_evaluation_problem(variant::InventoryTrainingVariant) # Evaluation uses stage-wise deployment semantics, not the training DE solve. return build_inventory_subproblems(; num_scenarios = N_TEST_SCENARIOS, - penalty = INVENTORY_PENALTY, + penalty = variant.penalty, seed = 99, integer = variant.integer, ) @@ -482,6 +539,8 @@ function train_variant!( println("Training TS-DDR [$(variant.tag)] integer=$(variant.integer)") println(" $(variant.num_batches) batches x $(variant.train_per_batch) scenarios") println(" learning rate: $(variant.learning_rate)") + println(" penalty: $(variant.penalty)") + println(" policy: $(typeof(policy))") println(" training integer strategy: $(typeof(variant.training_integer_strategy))") !isnothing(variant.score_function) && println(" score function: $(typeof(variant.score_function))") @@ -502,7 +561,7 @@ function train_variant!( num_train_per_batch = variant.train_per_batch, optimizer = Flux.Adam(variant.learning_rate), integer_strategy = variant.training_integer_strategy, - penalty_schedule = penalty_schedule_for(variant), + penalty_schedule = variant.penalty_schedule_fn(variant), score_function = variant.score_function, record = (sample_log, iteration, current_policy) -> begin # Prefer operational cost, because target slack is a training aid. @@ -618,8 +677,8 @@ function train_and_evaluate(variant::InventoryTrainingVariant) eval_subproblems, eval_state_in, eval_state_out, eval_sampler, _ = build_evaluation_problem(variant) - # Start every variant from the same policy initialization. - policy = build_exante_policy(; seed = 2024) + # Start from the variant's chosen policy architecture. + policy = variant.policy_builder() # Train the policy and save the best checkpoint. train_seconds = train_variant!( @@ -737,6 +796,113 @@ function score_function_variant() ) end +""" + three_phase_schedule(variant::InventoryTrainingVariant) + +Return a three-phase target-penalty multiplier schedule. + +The ramp starts gentle (0.2) so the optimizer sees smooth cost landscapes +before the high penalty dominates: + +```math +m_k = +\\begin{cases} +0.2, & 1 \\le k \\le K/6, \\\\ +0.6, & K/6 < k \\le K/2, \\\\ +1.0, & K/2 < k \\le K. +\\end{cases} +``` + +# Arguments +- `variant::InventoryTrainingVariant`: training configuration (uses + `num_batches` to compute phase boundaries). + +# Examples +```julia +schedule = three_phase_schedule(variant) +``` +""" +function three_phase_schedule(variant::InventoryTrainingVariant) + # Total number of SGD batches for this variant. + n = variant.num_batches + + # Phase 1 (batches 1..n/6): multiplier 0.2 — gentle start. + # Phase 2 (batches n/6..n/2): multiplier 0.6 — ramp up. + # Phase 3 (batches n/2..n): multiplier 1.0 — full penalty. + return [ + (1, div(n, 6), 0.2), + (div(n, 6) + 1, div(n, 2), 0.6), + (div(n, 2) + 1, n, 1.0), + ] +end + +""" + lstm_score_function_variant() -> InventoryTrainingVariant + +Build the LSTM mixed-gradient variant with tuned score function. + +Compared to `score_function_variant()`, this variant: +- uses `LSTMExAntePolicy` instead of `ExAnteInventoryPolicy`; +- raises the target penalty to 250 (vs 75); +- widens perturbation std to 15.0 (vs 1.0) so score-function rollouts are + large enough to flip the binary setup variable; +- increases rollout count to 12 for lower REINFORCE variance. + +# Examples +```julia +variant = lstm_score_function_variant() +``` +""" +function lstm_score_function_variant() + # Higher penalty (250 vs 75) gives stronger dual signal to the optimizer. + penalty = 250.0 + + # Build separate stage-wise MIP models for score-function rollouts. + # These models are solved with full integrality — not relaxed. + rollout_subproblems, rollout_state_in, rollout_state_out, _sampler, _ = + build_inventory_subproblems(; + num_scenarios = N_TRAIN_SCENARIOS, + penalty = penalty, + seed = 77, + integer = true, + ) + + # Score-function config: α=0.7 dual weight, σ=15 perturbation, M=12 rollouts. + # σ=15 is ≈10% of typical target values (~150), enough to flip z decisions. + score_config = ScoreFunctionConfig( + rollout_subproblems, + rollout_state_in, + rollout_state_out; + dual_weight = 0.7, + perturbation_std = 15.0, + num_rollouts = 12, + ) + + # Schedule: no score function for first 400 batches (dual-only warmup), + # then linear ramp over 400 batches to full score-function parameters. + score_schedule = ScoreFunctionSchedule( + score_config; + sf_start = 400, + ramp_batches = 400, + perturbation_std_initial = 3.0, + num_rollouts_initial = 4, + ) + + return InventoryTrainingVariant( + "integer_lstm_sf", + true, + 1200, + 16, + 5.0e-4, + 200, + FixedDiscreteIntegerStrategy(), + score_schedule, + penalty, + () -> build_lstm_exante_policy(; seed = 2024), + three_phase_schedule, + ) +end + """ inventory_training_variants() -> Vector{InventoryTrainingVariant} @@ -782,9 +948,115 @@ function inventory_training_variants() nothing, ), score_function_variant(), + # --- Tuned variants (relaxed) --- + # LSTM on the relaxed problem: isolates temporal encoding benefit + # without integer complexity. + InventoryTrainingVariant( + "relaxed_lstm", + false, + 800, + 10, + 1.0e-3, + 120, + NoIntegerStrategy(), + nothing, + INVENTORY_PENALTY, + () -> build_lstm_exante_policy(; seed = 2024), + penalty_schedule_for, + ), + # Higher penalty feedforward on the relaxed problem. + InventoryTrainingVariant( + "relaxed_hp", + false, + 800, + 10, + 1.0e-3, + 120, + NoIntegerStrategy(), + nothing, + 250.0, + () -> build_exante_policy(; seed = 2024), + penalty_schedule_for, + ), + # LSTM + high penalty on the relaxed problem. + InventoryTrainingVariant( + "relaxed_lstm_hp", + false, + 800, + 10, + 1.0e-3, + 120, + NoIntegerStrategy(), + nothing, + 250.0, + () -> build_lstm_exante_policy(; seed = 2024), + penalty_schedule_for, + ), + # --- Tuned variants (integer) --- + # Improved feedforward with higher penalty. + InventoryTrainingVariant( + "integer_hp", + true, + 1200, + 16, + 5.0e-4, + 200, + FixedDiscreteIntegerStrategy(), + nothing, + 250.0, + () -> build_exante_policy(; seed = 2024), + three_phase_schedule, + ), + # Variant A: LSTM with high penalty + InventoryTrainingVariant( + "integer_lstm", + true, + 1200, + 16, + 5.0e-4, + 200, + FixedDiscreteIntegerStrategy(), + nothing, + 250.0, + () -> build_lstm_exante_policy(; seed = 2024), + three_phase_schedule, + ), + # Variant B: LSTM with tuned score function + lstm_score_function_variant(), ] end +""" + run_variant(tag::AbstractString) -> Nothing + +Train and evaluate a single variant by tag name. + +This is the entry point used by SLURM jobs to run one variant at a time: + +```bash +julia --project=. train_dr_inventory.jl integer_lstm +``` + +# Arguments +- `tag::AbstractString`: one of the tags returned by + `inventory_training_variants()`. + +# Examples +```julia +run_variant("integer_lstm") +``` +""" +function run_variant(tag::AbstractString) + all_variants = inventory_training_variants() + idx = findfirst(v -> v.tag == tag, all_variants) + isnothing(idx) && error( + "Unknown variant tag \"$tag\". " * + "Available: $(join([v.tag for v in all_variants], ", "))" + ) + train_and_evaluate(all_variants[idx]) + return nothing +end + """ main() -> Nothing @@ -796,7 +1068,6 @@ main() ``` """ function main() - # Train variants sequentially so output files are deterministic. for variant in inventory_training_variants() train_and_evaluate(variant) println() @@ -809,5 +1080,9 @@ end # Run the script only when invoked directly, not when included by tests. if abspath(PROGRAM_FILE) == @__FILE__ - main() + if isempty(ARGS) + main() + else + run_variant(ARGS[1]) + end end From 241019350dfa6a6a5d23ed92af04d30415eb0a36 Mon Sep 17 00:00:00 2001 From: Andrew Rosemberg Date: Sat, 20 Jun 2026 12:06:15 -0400 Subject: [PATCH 06/17] update docs --- docs/src/algorithm.md | 80 ++++ .../assets/hydro_generation_comparison.png | Bin 0 -> 84747 bytes docs/src/assets/hydro_volume_comparison.png | Bin 0 -> 77235 bytes docs/src/assets/inventory_integer_results.png | Bin 228089 -> 261861 bytes docs/src/assets/inventory_relaxed_results.png | Bin 214193 -> 238139 bytes docs/src/examples/hydro.jl | 415 ++++++++++++++++-- docs/src/examples/hydro.md | 413 +++++++++++++++-- docs/src/examples/inventory.jl | 40 +- docs/src/examples/inventory.md | 142 +++++- examples/HydroPowerModels/README.md | 23 +- .../bolivia/ACPPowerModel/MeanGeneration.csv | 192 ++++---- .../bolivia/ACPPowerModel/MeanVolume.csv | 192 ++++---- ...WRConicPowerModel-ACPPowerModel-Volume.png | Bin 0 -> 31477 bytes ...RConicPowerModel-ACPPowerModel-thermal.png | Bin 0 -> 32294 bytes .../evaluate_hydro_policies.jl | 203 +++++++++ .../sddp/simulate_sddp_policy.jl | 62 +-- .../test_dr_hydropowermodels.jl | 264 ----------- .../train_ldr_hydropowermodels.jl | 264 +++++++++++ examples/README.md | 10 +- examples/inventory_control/compare_results.jl | 146 ++++-- .../inventory_control/train_dr_inventory.jl | 87 +++- 21 files changed, 1893 insertions(+), 640 deletions(-) create mode 100644 docs/src/assets/hydro_generation_comparison.png create mode 100644 docs/src/assets/hydro_volume_comparison.png create mode 100644 examples/HydroPowerModels/bolivia/ACPPowerModel/SDDP-bolivia-SOCWRConicPowerModel-ACPPowerModel-Volume.png create mode 100644 examples/HydroPowerModels/bolivia/ACPPowerModel/SDDP-bolivia-SOCWRConicPowerModel-ACPPowerModel-thermal.png create mode 100644 examples/HydroPowerModels/evaluate_hydro_policies.jl delete mode 100644 examples/HydroPowerModels/test_dr_hydropowermodels.jl create mode 100644 examples/HydroPowerModels/train_ldr_hydropowermodels.jl diff --git a/docs/src/algorithm.md b/docs/src/algorithm.md index 22cbe1e..36c3d24 100644 --- a/docs/src/algorithm.md +++ b/docs/src/algorithm.md @@ -108,6 +108,86 @@ for k = 1, ..., ⌈T/W⌉: **Pros**: balances coupling (within windows) with tractability; parallelizable windows. **Cons**: continuity gaps between windows require penalty tuning. +## Mixed gradient: score-function (REINFORCE) correction + +For problems with integer variables or non-smooth subproblems, the dual +gradient can be biased — it is local to a fixed integer assignment and cannot +see the effect of discrete switches (e.g., opening a setup variable). + +DecisionRules provides a **score-function (REINFORCE)** correction that mixes +the dual gradient with a model-free policy gradient estimated from stage-wise +rollouts under perturbed targets. + +### How the score-function estimator works + +1. **Perturb**: add Gaussian noise to the policy targets: + ``\tilde{x}_t = \hat{x}_t(\theta) + \delta_t``, where + ``\delta_t \sim \mathcal{N}(0, \sigma^2 I)``. + +2. **Rollout**: solve the stage-wise subproblems with the perturbed targets to + obtain realized costs ``R_m`` for ``m = 1, \ldots, M`` rollouts. These + rollouts solve the models exactly as built (MIPs stay MIPs), so the costs + reflect true integer-feasible decisions. + +3. **Advantage**: center the costs ``A_m = R_m - \bar{R}`` (mean baseline + reduces variance without changing the expected gradient). + +4. **Surrogate loss**: the differentiable scalar whose gradient recovers the + REINFORCE estimate: + +```math +L_{\text{sf}}(\theta) +\;=\; +\frac{1}{M} \sum_{m=1}^{M} + A_m + \sum_{t=1}^{T} + \left\langle + \frac{\delta_{m,t}}{\sigma^2},\; + \hat{x}_{t+1}(\theta) + \right\rangle. +``` + +This is the standard score-function estimator for Gaussian perturbations. +The key identity is +``\nabla_\theta \log p(\delta_t \mid \theta) = \delta_t / \sigma^2`` +for a Gaussian centered at ``\hat{x}_t(\theta)``. + +### Mixed gradient + +The final training gradient combines both signals: + +```math +\nabla L +\;=\; +\alpha\, \nabla L_{\text{dual}} ++ (1 - \alpha)\, \nabla L_{\text{sf}}, +``` + +where ``\alpha \in [0, 1]`` is the `dual_weight`. + +There are two separate solve paths in the mixed-gradient training loop: + +- **Dual path**: controlled by `integer_strategy`, which determines how local + dual information is read from the deterministic equivalent + (e.g., [`FixedDiscreteIntegerStrategy`](@ref) solves the MIP, fixes integers, + re-solves the LP, and reads LP duals). +- **Score-function path**: controlled by [`ScoreFunctionConfig`](@ref), which + owns separate rollout subproblems. These are solved exactly as built, and + their realized costs define the Monte Carlo score-function term. + +### Scheduled ramp-in + +A [`ScoreFunctionSchedule`](@ref) can ramp ``\alpha`` from 1 (pure dual) to +its final value over a warmup period. Let ``k`` be the current iteration and +``\rho_k = \operatorname{clip}((k - k_0) / r,\, 0,\, 1)``. The effective +score-function weight is ``\rho_k (1 - \alpha)``. + +This lets the DE dual gradient establish a good initial policy before +introducing the higher-variance REINFORCE signal. + +See the [Stochastic Lot-Sizing with Fixed Ordering Costs](@ref) example for a +complete worked example with integer variables and mixed gradients. + ## Penalty annealing The target penalty ``\lambda`` is critical: too small and the optimizer ignores diff --git a/docs/src/assets/hydro_generation_comparison.png b/docs/src/assets/hydro_generation_comparison.png new file mode 100644 index 0000000000000000000000000000000000000000..b601e59e994264f2215c1fe76e52be98d6f8bdc1 GIT binary patch literal 84747 zcmZ^LbyQYq+wZ2kQxK%PI|Y$$kVaAjM7ovkkPrz$N?JjY2I&+LDHTCLx-yFG#OZ3Q5a80_A_zjDrmCoqAgCq?g7Op_75>XVU=KaK+-H;)mOk9B z8K@OLBu9<536*Cc#_mmyk8HxY`Uzbjhe7FdiIkYQ%6*~R_?=~(`O{-kN=mVii*uD^ z`ug*<=;&yj{F_nH(aI_+RFssydCnG*;}yo27iYVRG;}>x2?+^RRaGB9ek?3x@`z(Z z&EPd}2>j#ep%LaNOI?W7WhYc(-Wf~6EPyZVv51arPdDn!=r=y+Hm*cEzrQs%|02Q0 zX8$RT^WflMW)9WD;-_JS(aQ3&cTI6FUh061*XrlCfRob-5fKqPJ3B>weLcOgcna=s zLfKa;zPpb1?g>Bm!ji|OqS6olhh&h9f(^4P7O%D8 z7ora-c}y7iUN>X=?ao>>dvnGqHv8`vmX)!e5ER;

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