From 6dbd7097f68e6e30e7bdf8b76a5f188869007e73 Mon Sep 17 00:00:00 2001 From: Norbert Frydrysiak Date: Wed, 13 May 2026 15:46:25 +0200 Subject: [PATCH 01/15] .gitignore add --- .gitignore | 148 +++++++++++++++++++++++++++++++++++++++++++++++++++-- 1 file changed, 145 insertions(+), 3 deletions(-) diff --git a/.gitignore b/.gitignore index 5b314e6..fabd4af 100644 --- a/.gitignore +++ b/.gitignore @@ -1,4 +1,146 @@ -.history +# ============================================================================= +# macOS +# ============================================================================= +.DS_Store +.AppleDouble +.LSOverride +Icon +._* +.DocumentRevisions-V100 +.fseventsd +.Spotlight-V100 +.TemporaryItems +.Trashes +.VolumeIcon.icns +.com.apple.timemachine.donotpresent +.AppleDB +.AppleDesktop +Network Trash Folder +Temporary Items +.apdisk + +# ============================================================================= +# Windows +# ============================================================================= +Thumbs.db +Thumbs.db:encryptable +ehthumbs.db +ehthumbs_vista.db +*.stackdump +[Dd]esktop.ini +$RECYCLE.BIN/ +*.cab +*.msi +*.msix +*.msm +*.msp +*.lnk + +# ============================================================================= +# Python +# ============================================================================= +__pycache__/ +*.py[cod] +*$py.class +*.so +.Python +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +share/python-wheels/ +*.egg-info/ +.installed.cfg +*.egg +MANIFEST +*.manifest +*.spec +pip-log.txt +pip-delete-this-directory.txt +htmlcov/ +.tox/ +.nox/ +.coverage +.coverage.* +.cache +nosetests.xml +coverage.xml +*.cover +*.py,cover +.hypothesis/ +.pytest_cache/ +cover/ +*.mo +*.pot +*.log +local_settings.py +db.sqlite3 +db.sqlite3-journal +instance/ +.webassets-cache +.scrapy +docs/_build/ +.pybuilder/ +target/ +.ipynb_checkpoints +profile_default/ +ipython_config.py +__pypackages__/ +celerybeat-schedule +celerybeat.pid +*.sage.py +.env .venv -__pycache__ -*.pyc \ No newline at end of file +env/ +venv/ +ENV/ +env.bak/ +venv.bak/ +.spyderproject.db +.spyproject +.ropeproject +/site +.mypy_cache/ +.dmypy.json +dmypy.json +.pyre/ +.pytype/ +cython_debug/ + +# ============================================================================= +# JetBrains IDEs (IntelliJ, PyCharm, WebStorm, etc.) +# ============================================================================= +.idea/ +*.iws +*.iml +*.ipr +out/ +.idea_modules/ +atlassian-ide-plugin.xml +com_crashlytics_export_strings.xml +crashlytics.properties +crashlytics-build.properties +fabric.properties + +# ============================================================================= +# Visual Studio Code +# ============================================================================= +.vscode/ +!.vscode/settings.json +!.vscode/tasks.json +!.vscode/launch.json +!.vscode/extensions.json +!.vscode/*.code-snippets +.history/ +*.vsix + +# Project Specific +#todo From 6975a904138c0793786a143fc361202b15278e3d Mon Sep 17 00:00:00 2001 From: Norbert Frydrysiak Date: Wed, 13 May 2026 17:14:03 +0200 Subject: [PATCH 02/15] papers folder ignore --- .gitignore | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.gitignore b/.gitignore index fabd4af..c8f3755 100644 --- a/.gitignore +++ b/.gitignore @@ -143,4 +143,4 @@ fabric.properties *.vsix # Project Specific -#todo +papers/ From e7f1be6e429664e0746ed7d7ffe84245197ea5dc Mon Sep 17 00:00:00 2001 From: Norbert Frydrysiak Date: Wed, 13 May 2026 17:14:27 +0200 Subject: [PATCH 03/15] uv infrastracture --- .python-version | 1 + pyproject.toml | 4 + uv.lock | 957 ++++++++++++++++++++++++++++++++++++++++++++++++ 3 files changed, 962 insertions(+) create mode 100644 .python-version create mode 100644 uv.lock diff --git a/.python-version b/.python-version new file mode 100644 index 0000000..e4fba21 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+[[package]] +name = "wta-optimization" +version = "0.1.0" +source = { editable = "." } +dependencies = [ + { name = "gurobipy" }, + { name = "matplotlib" }, + { name = "numpy", version = "2.2.6", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version < '3.11'" }, + { name = "numpy", version = "2.4.4", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version >= '3.11'" }, + { name = "pandas", version = "2.3.3", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version < '3.11'" }, + { name = "pandas", version = "3.0.3", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version >= '3.11'" }, + { name = "pulp" }, + { name = "seaborn" }, +] + +[package.metadata] +requires-dist = [ + { name = "gurobipy", specifier = ">=13.0.2" }, + { name = "matplotlib", specifier = ">=3.10.9" }, + { name = "numpy" }, + { name = "pandas", specifier = ">=2.3.3" }, + { name = "pulp" }, + { name = "seaborn", specifier = ">=0.13.2" }, +] From b1cdf4461d667dd6f3bcba7712ac53325b58bcf3 Mon Sep 17 00:00:00 2001 From: Norbert Frydrysiak Date: Fri, 15 May 2026 11:45:27 +0200 Subject: [PATCH 04/15] gurobi andersen initial implement --- benchmark.py | 13 +++- src/wta_optimization/__init__.py | 5 +- src/wta_optimization/exact.py | 110 +++++++++++++++++++++++++++++++ 3 files changed, 125 insertions(+), 3 deletions(-) diff --git a/benchmark.py b/benchmark.py index 9dd15b5..99ae47c 100644 --- a/benchmark.py +++ b/benchmark.py @@ -7,7 +7,7 @@ import seaborn as sns from wta_optimization.data import generate_random_instance, load_instance_from_file -from wta_optimization.exact import solve_exact +from wta_optimization.exact import solve_exact, solve_branch_and_adjust from wta_optimization.heuristic import ( solve_greedy, solve_local_search, @@ -20,7 +20,8 @@ ("greedy", "Greedy", "tab:orange"), ("ls", "Greedy + Local Search", "tab:blue"), ("sa", "Simulated Annealing", "tab:green"), - ("exact", "Exact MIP", "black"), + ("exact", "Exact MIP (PuLP)", "black"), + ("bna", "Branch & Adjust (Gurobi)", "tab:red"), ] EXACT_TIME_LIMIT_SECONDS = 5400.0 @@ -46,11 +47,19 @@ def _evaluate_methods( warm_start=sol_greedy if use_exact_warm_start else None, time_limit_seconds=exact_time_limit_seconds, ) + + sol_bna = solve_branch_and_adjust( + instance, + warm_start=sol_greedy if use_exact_warm_start else None, + time_limit_seconds=exact_time_limit_seconds, + ) + return { "greedy": sol_greedy, "ls": sol_ls, "sa": sol_sa, "exact": sol_exact, + "bna": sol_bna, } diff --git a/src/wta_optimization/__init__.py b/src/wta_optimization/__init__.py index 686a8bf..89acba2 100644 --- a/src/wta_optimization/__init__.py +++ b/src/wta_optimization/__init__.py @@ -1,7 +1,7 @@ """Static Weapon Target Allocation optimization tools.""" from .data import generate_random_instance -from .exact import solve_exact +from .exact import solve_exact, solve_branch_and_adjust from .heuristic import solve_greedy, solve_local_search, solve_simulated_annealing from .models import WTASolution, WTAInstance @@ -13,4 +13,7 @@ "solve_greedy", "solve_local_search", "solve_simulated_annealing", + "solve_exact", + "solve_branch_and_adjust", + "solve_greedy", ] diff --git a/src/wta_optimization/exact.py b/src/wta_optimization/exact.py index 030c57a..cc54bb0 100644 --- a/src/wta_optimization/exact.py +++ b/src/wta_optimization/exact.py @@ -4,6 +4,8 @@ from time import perf_counter from typing import Sequence +import gurobipy as gp +from gurobipy import GRB import pulp from .models import WTAInstance, WTASolution, objective_value @@ -114,3 +116,111 @@ def solve_exact( method="exact_mip_pulp_linearized_warm_start" if warm_start_assignment is not None else "exact_mip_pulp_linearized", status=solver_status, ) + + +def solve_branch_and_adjust( + instance: WTAInstance, + warm_start: WTASolution | Sequence[Sequence[int]] | None = None, + time_limit_seconds: float = 5400.0, +) -> WTASolution: + """ + Solve the Static WTA problem using the Branch-and-Adjust algorithm. + Utilizes Gurobi's native piecewise-linear exponential constraints and a callback + to track the true non-linear objective. + """ + start = perf_counter() + warm_start_assignment = _normalize_warm_start(instance, warm_start) + + env = gp.Env(empty=True) + env.setParam("OutputFlag", 0) + env.start() + + model = gp.Model("WTA_Branch_and_Adjust", env=env) + model.setParam(GRB.Param.TimeLimit, time_limit_seconds) + model.setParam(GRB.Param.LazyConstraints, 1) + + weapons = instance.weapons + targets = instance.targets + + x = model.addVars(weapons, targets, vtype=GRB.BINARY, name="x") + y = model.addVars(targets, lb=-GRB.INFINITY, name="y") + z = model.addVars(targets, lb=0.0, name="z") + + if warm_start_assignment is not None: + for i in range(weapons): + for j in range(targets): + x[i, j].Start = warm_start_assignment[i][j] + + model.setObjective( + gp.quicksum(instance.target_values[j] * z[j] for j in range(targets)), + GRB.MINIMIZE + ) + + for i in range(weapons): + model.addConstr(gp.quicksum(x[i, j] for j in range(targets)) <= 1, name=f"w_{i}") + + EPSILON = 1e-9 + + for j in range(targets): + ln_q = [] + for i in range(weapons): + q_ij = 1.0 - instance.destruction_probabilities[i][j] + ln_q.append(math.log(max(q_ij, EPSILON))) + + model.addConstr( + y[j] == gp.quicksum(x[i, j] * ln_q[i] for i in range(weapons)), + name=f"y_def_{j}" + ) + + model.addGenConstrExp(y[j], z[j], name=f"exp_{j}") + + model._best_true_obj = float('inf') + model._best_assignment = None + + def branch_and_adjust_callback(cb_model, where): + if where == GRB.Callback.MIPSOL: + x_vals = cb_model.cbGetSolution(x) + + true_obj = 0.0 + for tj in range(targets): + surv = instance.target_values[tj] + for wi in range(weapons): + if x_vals[wi, tj] > 0.5: + surv *= (1.0 - instance.destruction_probabilities[wi][tj]) + true_obj += surv + + if true_obj < cb_model._best_true_obj: + cb_model._best_true_obj = true_obj + assignment_matrix = [[0 for _ in range(targets)] for _ in range(weapons)] + for wi in range(weapons): + for tj in range(targets): + if x_vals[wi, tj] > 0.5: + assignment_matrix[wi][tj] = 1 + cb_model._best_assignment = tuple(tuple(row) for row in assignment_matrix) + + + model.optimize(branch_and_adjust_callback) + + runtime = perf_counter() - start + + if model.Status == GRB.OPTIMAL: + status_str = "optimal" + elif model.Status == GRB.TIME_LIMIT: + status_str = "time_limit" + else: + status_str = f"status_{model.Status}" + + if model._best_assignment is not None: + final_assignment = model._best_assignment + final_obj = model._best_true_obj + else: + final_assignment = tuple(tuple(0 for _ in range(targets)) for _ in range(weapons)) + final_obj = float('inf') + + return WTASolution( + assignment=final_assignment, + objective_value=final_obj, + runtime_seconds=runtime, + method="branch_and_adjust_gurobi", + status=status_str, + ) \ No newline at end of file From 4f80e4ebbdeb6e419bc07c48cce4e5272ef11c50 Mon Sep 17 00:00:00 2001 From: Norbert Frydrysiak Date: Sun, 17 May 2026 19:21:26 +0200 Subject: [PATCH 05/15] gurobi remove andresen implement --- benchmark.py | 2 +- pyproject.toml | 2 +- src/wta_optimization/exact.py | 153 +++++++++++++++++++--------------- uv.lock | 77 +++++++++-------- 4 files changed, 133 insertions(+), 101 deletions(-) diff --git a/benchmark.py b/benchmark.py index 99ae47c..769b216 100644 --- a/benchmark.py +++ b/benchmark.py @@ -21,7 +21,7 @@ ("ls", "Greedy + Local Search", "tab:blue"), ("sa", "Simulated Annealing", "tab:green"), ("exact", "Exact MIP (PuLP)", "black"), - ("bna", "Branch & Adjust (Gurobi)", "tab:red"), + ("bna", "Branch & Adjust (SCIP)", "tab:red"), ] EXACT_TIME_LIMIT_SECONDS = 5400.0 diff --git a/pyproject.toml b/pyproject.toml index 8b05ac2..799c8c6 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -14,7 +14,7 @@ dependencies = [ "pandas>=2.3.3", "matplotlib>=3.10.9", "seaborn>=0.13.2", - "gurobipy>=13.0.2", + "pyscipopt>=6.2.1", ] [tool.setuptools] diff --git a/src/wta_optimization/exact.py b/src/wta_optimization/exact.py index cc54bb0..fe00984 100644 --- a/src/wta_optimization/exact.py +++ b/src/wta_optimization/exact.py @@ -4,9 +4,8 @@ from time import perf_counter from typing import Sequence -import gurobipy as gp -from gurobipy import GRB import pulp +from pyscipopt import Model, Eventhdlr, SCIP_EVENTTYPE, quicksum from .models import WTAInstance, WTASolution, objective_value @@ -39,7 +38,7 @@ def solve_exact( ) -> WTASolution: """ Solve the Static WTA problem using an exact MILP formulation via pulp. - Uses log transformation mapping and piecewise linear approximation for the + Uses log transformation mapping and piecewise linear approximation for the exponential objective reduction. """ start = perf_counter() @@ -48,7 +47,7 @@ def solve_exact( prob = pulp.LpProblem("Static_WTA_MIP", pulp.LpMinimize) # Decision variables - x = [[pulp.LpVariable(f"x_{i}_{j}", cat=pulp.LpBinary) + x = [[pulp.LpVariable(f"x_{i}_{j}", cat=pulp.LpBinary) for j in range(instance.targets)] for i in range(instance.weapons)] z = [pulp.LpVariable(f"z_{j}", lowBound=0.0) for j in range(instance.targets)] @@ -107,7 +106,7 @@ def solve_exact( assignment[i][j] = 1 frozen_assignment = tuple(tuple(row) for row in assignment) - + runtime = perf_counter() - start return WTASolution( assignment=frozen_assignment, @@ -118,46 +117,77 @@ def solve_exact( ) +class TrueObjectiveTracker(Eventhdlr): + """ + SCIP Event Handler that tracks the true nonlinear objective + whenever a new integer-feasible solution is found in the tree. + """ + + def __init__(self, instance: WTAInstance, x_vars: list[list]): + self.instance = instance + self.x_vars = x_vars + self.best_true_obj = float('inf') + self.best_assignment = None + + def eventinit(self): + self.model.catchEvent(SCIP_EVENTTYPE.BESTSOLFOUND, self) + + def eventexit(self): + self.model.dropEvent(SCIP_EVENTTYPE.BESTSOLFOUND, self) + + def eventexec(self, event): + sol = self.model.getBestSol() + if sol is None: + return + + true_obj = 0.0 + targets = self.instance.targets + weapons = self.instance.weapons + assignment = [[0 for _ in range(targets)] for _ in range(weapons)] + + for j in range(targets): + surv = self.instance.target_values[j] + for i in range(weapons): + val = self.model.getSolVal(sol, self.x_vars[i][j]) + if val > 0.5: + surv *= (1.0 - self.instance.destruction_probabilities[i][j]) + assignment[i][j] = 1 + true_obj += surv + + if true_obj < self.best_true_obj: + self.best_true_obj = true_obj + self.best_assignment = tuple(tuple(row) for row in assignment) + + def solve_branch_and_adjust( instance: WTAInstance, + num_piecewise_segments: int = 20, warm_start: WTASolution | Sequence[Sequence[int]] | None = None, time_limit_seconds: float = 5400.0, ) -> WTASolution: """ - Solve the Static WTA problem using the Branch-and-Adjust algorithm. - Utilizes Gurobi's native piecewise-linear exponential constraints and a callback - to track the true non-linear objective. + Solve the Static WTA problem using the Branch-and-Adjust algorithm via SCIP. + Utilizes PySCIPOpt, piecewise-linear convex under-approximation, and an Event + Handler to track the true non-linear objective. """ start = perf_counter() warm_start_assignment = _normalize_warm_start(instance, warm_start) - env = gp.Env(empty=True) - env.setParam("OutputFlag", 0) - env.start() - - model = gp.Model("WTA_Branch_and_Adjust", env=env) - model.setParam(GRB.Param.TimeLimit, time_limit_seconds) - model.setParam(GRB.Param.LazyConstraints, 1) + model = Model("WTA_Branch_and_Adjust_SCIP") + model.hideOutput(True) + model.setRealParam("limits/time", time_limit_seconds) weapons = instance.weapons targets = instance.targets - x = model.addVars(weapons, targets, vtype=GRB.BINARY, name="x") - y = model.addVars(targets, lb=-GRB.INFINITY, name="y") - z = model.addVars(targets, lb=0.0, name="z") + x = [[model.addVar(vtype="B", name=f"x_{i}_{j}") for j in range(targets)] for i in range(weapons)] + y = [model.addVar(vtype="C", lb=None, name=f"y_{j}") for j in range(targets)] + z = [model.addVar(vtype="C", lb=0.0, name=f"z_{j}") for j in range(targets)] - if warm_start_assignment is not None: - for i in range(weapons): - for j in range(targets): - x[i, j].Start = warm_start_assignment[i][j] - - model.setObjective( - gp.quicksum(instance.target_values[j] * z[j] for j in range(targets)), - GRB.MINIMIZE - ) + model.setObjective(quicksum(instance.target_values[j] * z[j] for j in range(targets)), "minimize") for i in range(weapons): - model.addConstr(gp.quicksum(x[i, j] for j in range(targets)) <= 1, name=f"w_{i}") + model.addCons(quicksum(x[i][j] for j in range(targets)) <= 1, name=f"w_{i}") EPSILON = 1e-9 @@ -167,52 +197,43 @@ def solve_branch_and_adjust( q_ij = 1.0 - instance.destruction_probabilities[i][j] ln_q.append(math.log(max(q_ij, EPSILON))) - model.addConstr( - y[j] == gp.quicksum(x[i, j] * ln_q[i] for i in range(weapons)), - name=f"y_def_{j}" - ) - - model.addGenConstrExp(y[j], z[j], name=f"exp_{j}") - - model._best_true_obj = float('inf') - model._best_assignment = None + model.addCons(y[j] == quicksum(x[i][j] * ln_q[i] for i in range(weapons)), name=f"y_def_{j}") - def branch_and_adjust_callback(cb_model, where): - if where == GRB.Callback.MIPSOL: - x_vals = cb_model.cbGetSolution(x) + min_y_j = sum(val for val in ln_q if val < 0) - true_obj = 0.0 - for tj in range(targets): - surv = instance.target_values[tj] - for wi in range(weapons): - if x_vals[wi, tj] > 0.5: - surv *= (1.0 - instance.destruction_probabilities[wi][tj]) - true_obj += surv + if min_y_j < 0: + step = abs(min_y_j) / max(1, num_piecewise_segments - 1) + for k in range(num_piecewise_segments): + pk = min_y_j + k * step + exp_pk = math.exp(pk) + model.addCons(z[j] >= exp_pk + exp_pk * (y[j] - pk)) + else: + model.addCons(z[j] >= 1.0) - if true_obj < cb_model._best_true_obj: - cb_model._best_true_obj = true_obj - assignment_matrix = [[0 for _ in range(targets)] for _ in range(weapons)] - for wi in range(weapons): - for tj in range(targets): - if x_vals[wi, tj] > 0.5: - assignment_matrix[wi][tj] = 1 - cb_model._best_assignment = tuple(tuple(row) for row in assignment_matrix) + if warm_start_assignment is not None: + sol = model.createSol() + for i in range(weapons): + for j in range(targets): + model.setSolVal(sol, x[i][j], warm_start_assignment[i][j]) + model.addSol(sol) + tracker = TrueObjectiveTracker(instance, x) + model.includeEventhdlr(tracker, "TrueObjTracker", "Tracks true objective on new best solutions") - model.optimize(branch_and_adjust_callback) + model.optimize() runtime = perf_counter() - start - if model.Status == GRB.OPTIMAL: - status_str = "optimal" - elif model.Status == GRB.TIME_LIMIT: - status_str = "time_limit" - else: - status_str = f"status_{model.Status}" + scip_status = model.getStatus() + status_map = { + "optimal": "optimal", + "timelimit": "time_limit", + } + status_str = status_map.get(scip_status, f"status_{scip_status}") - if model._best_assignment is not None: - final_assignment = model._best_assignment - final_obj = model._best_true_obj + if tracker.best_assignment is not None: + final_assignment = tracker.best_assignment + 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= "python-dateutil" version = "2.9.0.post0" @@ -936,22 +947,22 @@ name = "wta-optimization" version = "0.1.0" source = { editable = "." } dependencies = [ - { name = "gurobipy" }, { name = "matplotlib" }, { name = "numpy", version = "2.2.6", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version < '3.11'" }, { name = "numpy", version = "2.4.4", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version >= '3.11'" }, { name = "pandas", version = "2.3.3", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version < '3.11'" }, { name = "pandas", version = "3.0.3", source = { registry = "https://pypi.org/simple" }, marker = "python_full_version >= '3.11'" }, { name = "pulp" }, + { name = "pyscipopt" }, { name = "seaborn" }, ] [package.metadata] requires-dist = [ - { name = "gurobipy", specifier = ">=13.0.2" }, { name = "matplotlib", specifier = ">=3.10.9" }, { name = "numpy" }, { name = "pandas", specifier = ">=2.3.3" }, { name = "pulp" }, + { name = "pyscipopt", specifier = ">=6.2.1" }, { name = "seaborn", specifier = ">=0.13.2" }, ] From 7765a55132a0bcd0cede47b962f8235b9d4fd85b Mon Sep 17 00:00:00 2001 From: Anna Ostrowska Date: Sun, 17 May 2026 23:27:59 +0200 Subject: [PATCH 06/15] feat: add outer approximation exact solver --- src/wta_optimization/__init__.py | 7 +- src/wta_optimization/exact.py | 176 +++++++++++++++++++++++++++++++ 2 files changed, 179 insertions(+), 4 deletions(-) diff --git a/src/wta_optimization/__init__.py b/src/wta_optimization/__init__.py index 89acba2..e019d74 100644 --- a/src/wta_optimization/__init__.py +++ b/src/wta_optimization/__init__.py @@ -1,7 +1,7 @@ """Static Weapon Target Allocation optimization tools.""" from .data import generate_random_instance -from .exact import solve_exact, solve_branch_and_adjust +from .exact import solve_exact, solve_branch_and_adjust, solve_outer_approximation from .heuristic import solve_greedy, solve_local_search, solve_simulated_annealing from .models import WTASolution, WTAInstance @@ -10,10 +10,9 @@ "WTASolution", "generate_random_instance", "solve_exact", + "solve_branch_and_adjust", + "solve_outer_approximation", "solve_greedy", "solve_local_search", "solve_simulated_annealing", - "solve_exact", - "solve_branch_and_adjust", - "solve_greedy", ] diff --git a/src/wta_optimization/exact.py b/src/wta_optimization/exact.py index fe00984..1d631c4 100644 --- a/src/wta_optimization/exact.py +++ b/src/wta_optimization/exact.py @@ -244,4 +244,180 @@ def solve_branch_and_adjust( runtime_seconds=runtime, method="branch_and_adjust_scip", status=status_str, + ) + + +def solve_outer_approximation( + instance: WTAInstance, + warm_start: WTASolution | Sequence[Sequence[int]] | None = None, + time_limit_seconds: float = 5400.0, + verbose: bool = False, +) -> WTASolution: + """ + Solve the Static WTA problem using the iterative outer approximation + (cutting plane / Kelley) method. + + Since the objective sum(V_j * exp(y_j)) is convex in y_j, tangent + hyperplanes are globally valid cutting planes. The algorithm works as + follows: + + 1. Initialise with two tangent cuts per target (at y=0 and at min_y_j). + 2. Solve the MIP with the current set of cuts. + 3. At the resulting integer solution x*, compute y*_j exactly and check + whether the linearised z*_j >= exp(y*_j) is satisfied. + 4. If violated: add a new tangent cut at y*_j and go to step 2. + 5. If no violation: the LP objective = true objective => optimal. + + Based on: Andersen, Pavlikov & Toffolo, "Weapon-target assignment problem: + Exact and approximate solution algorithms", Ann. Oper. Res. (2022). + """ + start = perf_counter() + warm_start_assignment = _normalize_warm_start(instance, warm_start) + + EPSILON = 1e-9 + # CONV_TOL controls when a tangent cut is considered violated (and therefore + # added to the model). A cut for target j is added only when the current + # linearised value z*_j is strictly less than exp(y*_j) by more than this + # threshold. Larger values converge faster but may stop before the true + # optimum; smaller values tighten the outer approximation at the cost of + # more iterations. 1e-6 is well within floating-point precision and gives + # a certified optimality gap of effectively zero. + CONV_TOL = 1e-6 + + weapons = instance.weapons + targets = instance.targets + + # Pre-compute ln(q_ij) = ln(1 - p_ij) + ln_q: list[list[float]] = [ + [math.log(max(1.0 - instance.destruction_probabilities[i][j], EPSILON)) + for j in range(targets)] + for i in range(weapons) + ] + # Lower bound on y_j: all weapons assigned to target j + min_y: list[float] = [ + sum(ln_q[i][j] for i in range(weapons)) for j in range(targets) + ] + + # Initial tangent points: y=0 (exp-max) and min_y_j (exp-min) + tangent_points: dict[int, list[float]] = { + j: ([0.0, min_y[j]] if min_y[j] < -1e-9 else [0.0]) + for j in range(targets) + } + + best_assignment: tuple[tuple[int, ...], ...] | None = warm_start_assignment + converged = False + + if verbose: + total_cuts = sum(len(v) for v in tangent_points.values()) + print(f"OA init: {instance.weapons}W x {instance.targets}T | initial cuts: {total_cuts}") + print(f"{'Iter':>4} | {'Cuts':>5} | {'Lin.Obj':>12} | {'True Obj':>12} | {'New cuts':>8}") + + for _iteration in range(300): + remaining = time_limit_seconds - (perf_counter() - start) + if remaining <= 0: + break + + # build SCIP model with current tangent cuts + model = Model("WTA_OA") + model.hideOutput(True) + model.setRealParam("limits/time", remaining) + + x = [ + [model.addVar(vtype="B", name=f"x_{i}_{j}") for j in range(targets)] + for i in range(weapons) + ] + y = [ + model.addVar(vtype="C", lb=min_y[j], ub=0.0, name=f"y_{j}") + for j in range(targets) + ] + z = [ + model.addVar(vtype="C", lb=0.0, name=f"z_{j}") + for j in range(targets) + ] + + model.setObjective( + quicksum(instance.target_values[j] * z[j] for j in range(targets)), + "minimize", + ) + + for i in range(weapons): + model.addCons(quicksum(x[i][j] for j in range(targets)) <= 1, name=f"w_{i}") + + for j in range(targets): + model.addCons( + y[j] == quicksum(x[i][j] * ln_q[i][j] for i in range(weapons)), + name=f"y_{j}", + ) + for y_bar in tangent_points[j]: + exp_ybar = math.exp(y_bar) + model.addCons(z[j] >= exp_ybar + exp_ybar * (y[j] - y_bar)) + + # Warm start from previous best assignment + if best_assignment is not None: + init_sol = model.createSol() + for i in range(weapons): + for j in range(targets): + model.setSolVal(init_sol, x[i][j], best_assignment[i][j]) + model.addSol(init_sol) + + model.optimize() + + best_scip_sol = model.getBestSol() + if best_scip_sol is None: + break + + # Extract integer assignment from SCIP solution + assignment_list = [[0] * targets for _ in range(weapons)] + for i in range(weapons): + for j in range(targets): + if model.getSolVal(best_scip_sol, x[i][j]) > 0.5: + assignment_list[i][j] = 1 + frozen = tuple(tuple(row) for row in assignment_list) + + # Update best by true objective + true_obj = objective_value(instance, frozen) + if best_assignment is None or true_obj < objective_value(instance, best_assignment): + best_assignment = frozen + + # check for violated cuts at this integer solution + # y*_j is uniquely determined by the binary assignment + any_violation = False + new_cuts_this_iter = 0 + lin_obj = sum( + instance.target_values[j] * model.getSolVal(best_scip_sol, z[j]) + for j in range(targets) + ) + for j in range(targets): + y_star = sum(frozen[i][j] * ln_q[i][j] for i in range(weapons)) + z_star = model.getSolVal(best_scip_sol, z[j]) + exp_y_star = math.exp(y_star) + + if z_star < exp_y_star - CONV_TOL: + # Add tangent cut at y_star + if all(abs(y_star - tp) > 1e-10 for tp in tangent_points[j]): + tangent_points[j].append(y_star) + any_violation = True + new_cuts_this_iter += 1 + + if verbose: + total_cuts = sum(len(v) for v in tangent_points.values()) + print(f"{_iteration+1:>4} | {total_cuts:>5} | {lin_obj:>12.6f} | {true_obj:>12.6f} | {new_cuts_this_iter:>8}") + + if not any_violation: + converged = True + if verbose: + print(f"Converged after {_iteration+1} iteration(s). Status: optimal.") + break + + runtime = perf_counter() - start + + if best_assignment is None: + best_assignment = tuple(tuple(0 for _ in range(targets)) for _ in range(weapons)) + + return WTASolution( + assignment=best_assignment, + objective_value=objective_value(instance, best_assignment), + runtime_seconds=runtime, + method="outer_approximation_scip", + status="optimal" if converged else "time_limit", ) \ No newline at end of file From 1de6489594a65a30651d6fe348072e8c4fecb572 Mon Sep 17 00:00:00 2001 From: Anna Ostrowska Date: Sun, 17 May 2026 23:29:53 +0200 Subject: [PATCH 07/15] feat: add Bertsimas benchmark methods and integrate into main analysis --- benchmark.py | 126 ++++++++++++++++++++++++++++++++++++++++++++++++++- 1 file changed, 124 insertions(+), 2 deletions(-) diff --git a/benchmark.py b/benchmark.py index 769b216..7e6e281 100644 --- a/benchmark.py +++ b/benchmark.py @@ -7,7 +7,7 @@ import seaborn as sns from wta_optimization.data import generate_random_instance, load_instance_from_file -from wta_optimization.exact import solve_exact, solve_branch_and_adjust +from wta_optimization.exact import solve_exact, solve_branch_and_adjust, solve_outer_approximation from wta_optimization.heuristic import ( solve_greedy, solve_local_search, @@ -22,6 +22,7 @@ ("sa", "Simulated Annealing", "tab:green"), ("exact", "Exact MIP (PuLP)", "black"), ("bna", "Branch & Adjust (SCIP)", "tab:red"), + ("oa", "Outer Approximation (SCIP)", "tab:purple"), ] EXACT_TIME_LIMIT_SECONDS = 5400.0 @@ -54,12 +55,19 @@ def _evaluate_methods( time_limit_seconds=exact_time_limit_seconds, ) + sol_oa = solve_outer_approximation( + instance, + warm_start=sol_greedy if use_exact_warm_start else None, + time_limit_seconds=exact_time_limit_seconds, + ) + return { "greedy": sol_greedy, "ls": sol_ls, "sa": sol_sa, "exact": sol_exact, "bna": sol_bna, + "oa": sol_oa, } @@ -489,11 +497,118 @@ def plot_sensitivity_analysis(df: pd.DataFrame) -> None: plt.close() +def run_bertsimas_benchmark( + sizes: list[int] | None = None, + seeds: list[int] | None = None, + exact_time_limit_seconds: float = EXACT_TIME_LIMIT_SECONDS, + use_exact_warm_start: bool = True, +) -> pd.DataFrame: + """Run benchmark on instances generated following Bertsimas & Paskov (2025) schemes. + + Scheme 1 (hard): P_ij ~ Uniform(0, 1), v_j ~ Uniform integer [1, 100] + Scheme 2: P_ij ~ Uniform(0.6, 0.9), v_j ~ Uniform integer [25, 100] + """ + sizes = sizes or [5, 10, 15, 20, 25, 30] + seeds = seeds or [42, 43, 44] + + schemes = [ + ("scheme1", (0.0, 1.0), (1.0, 100.0)), + ("scheme2", (0.6, 0.9), (25.0, 100.0)), + ] + + results = [] + + print("Starting WTA Benchmark on Bertsimas & Paskov (2025) Instance Schemes...") + print(f"Exact MIP time limit per instance: {exact_time_limit_seconds:.0f}s") + print(f"Exact MIP warm start from greedy: {'yes' if use_exact_warm_start else 'no'}") + print( + f"{'Scheme':<10} | {'Size':<5} | {'Seed':<4} | {'Exact T':<10} | " + f"{'Gr T':<8} | {'Gr Gap%':<8} | {'LS Gap%':<8} | {'SA Gap%':<8} | {'BnA Gap%':<9} | {'OA Gap%':<8} | Status" + ) + + for scheme_name, prob_range, val_range in schemes: + for size in sizes: + for seed in seeds: + instance = generate_random_instance( + weapons=size, + targets=size, + seed=seed, + target_value_range=val_range, + destruction_probability_range=prob_range, + ) + try: + solutions = _evaluate_methods( + instance, + exact_time_limit_seconds=exact_time_limit_seconds, + use_exact_warm_start=use_exact_warm_start, + ) + row = _build_result_row({"scheme": scheme_name, "size": size, "seed": seed}, solutions) + results.append(row) + + print( + f"{scheme_name:<10} | {size:<5} | {seed:<4} | " + f"{row['exact_time_s']:<10.4f} | {row['greedy_time_s']:<8.4f} | " + f"{row['optimality_gap_pct_greedy']:<8.2f} | {row['optimality_gap_pct_ls']:<8.2f} | " + f"{row['optimality_gap_pct_sa']:<8.2f} | {row['optimality_gap_pct_bna']:<9.2f} | " + f"{row['optimality_gap_pct_oa']:<8.2f} | {row['exact_status']}" + ) + except Exception as exc: + print(f"{scheme_name:<10} | {size:<5} | {seed:<4} | ERROR: {exc}") + results.append({"scheme": scheme_name, "size": size, "seed": seed, "error": str(exc)}) + + output_dir = Path("results") + output_dir.mkdir(exist_ok=True) + df = pd.DataFrame(results) + csv_path = output_dir / "benchmark_bertsimas.csv" + df.to_csv(csv_path, index=False) + print(f"\nResults saved to: {csv_path}") + return df + + +def plot_bertsimas_benchmark(df: pd.DataFrame) -> None: + sns.set_theme(style="whitegrid") + output_dir = Path("results") + + for scheme in df["scheme"].unique(): + scheme_df = df[df["scheme"] == scheme] + agg_df = ( + scheme_df.groupby("size", as_index=False) + .agg({col: "mean" for col in scheme_df.columns if col not in ("scheme", "size", "seed") and pd.api.types.is_numeric_dtype(scheme_df[col])}) + ) + + plt.figure(figsize=(11, 6)) + for method_key, label, _ in METHOD_SPECS: + plt.plot(agg_df["size"], agg_df[f"{method_key}_time_s"], marker="o", label=label) + plt.yscale("log") + plt.title(f"Execution Time — Bertsimas {scheme}") + plt.xlabel("Problem Size (N weapons = N targets)") + plt.ylabel("Time (seconds)") + plt.legend() + plt.tight_layout() + plt.savefig(output_dir / f"bertsimas_{scheme}_time.png", dpi=300) + plt.close() + + plt.figure(figsize=(11, 6)) + for method_key, label, color in METHOD_SPECS: + if method_key == "exact": + continue + plt.plot(agg_df["size"], agg_df[f"optimality_gap_pct_{method_key}"], marker="o", color=color, label=f"{label} Gap %") + plt.title(f"Optimality Gap — Bertsimas {scheme}") + plt.xlabel("Problem Size (N weapons = N targets)") + plt.ylabel("Optimality Gap (%)") + plt.legend() + plt.tight_layout() + plt.savefig(output_dir / f"bertsimas_{scheme}_gap.png", dpi=300) + plt.close() + + print(f"Bertsimas benchmark plots saved to {output_dir}/") + + def _parse_args() -> argparse.Namespace: parser = argparse.ArgumentParser(description="Run WTA optimization benchmarks and analyses.") parser.add_argument( "--mode", - choices=["files", "random", "warm", "sensitivity", "all"], + choices=["files", "random", "warm", "sensitivity", "bertsimas", "all"], default="files", help="Select which analysis to run. Default: files.", ) @@ -543,6 +658,13 @@ def main() -> None: ) plot_sensitivity_analysis(sensitivity_df) + if args.mode in {"bertsimas"}: + bertsimas_df = run_bertsimas_benchmark( + exact_time_limit_seconds=args.exact_limit_seconds, + use_exact_warm_start=use_exact_warm_start, + ) + plot_bertsimas_benchmark(bertsimas_df) + if __name__ == "__main__": main() From 41746f8d235138260edf81e10c1284db831f3715 Mon Sep 17 00:00:00 2001 From: Anna Ostrowska Date: Sun, 17 May 2026 23:34:28 +0200 Subject: [PATCH 08/15] feat: add comparison script for OA/BnA methods vs Bertsimas & Paskov BPC --- compare_bpc.py | 161 +++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 161 insertions(+) create mode 100644 compare_bpc.py diff --git a/compare_bpc.py b/compare_bpc.py new file mode 100644 index 0000000..9322b24 --- /dev/null +++ b/compare_bpc.py @@ -0,0 +1,161 @@ +""" +Comparison: Our OA / BnA methods vs Bertsimas & Paskov (2025) BPC. + +BPC timing data is taken directly from Table 1 of: + Bertsimas, D. & Paskov, I. (2025). "Solving Large-Scale Weapon-Target + Assignment Problems in Seconds Using Branch-Price-And-Cut." + Naval Research Logistics (NRL). + +For N×N square instances (targets = weapons) from the Andersen benchmark: + N=200 → BPC 0.058 s N=300 → BPC 0.124 s + N=350 → BPC 0.167 s N=400 → BPC 0.232 s + N=450 → BPC 0.290 s + +Our benchmark ran on the Bertsimas Scheme 1/2 instances for N=5-30. +This script overlays both datasets on a single log-scale chart. + +Usage: + python compare_bpc.py +Output: + results/comparison_bpc_vs_oa.png + results/comparison_bpc_vs_oa.csv +""" +import sys +sys.path.insert(0, "src") + +import pandas as pd +import matplotlib.pyplot as plt +import matplotlib.ticker as mticker +import numpy as np +from pathlib import Path + +RESULTS_DIR = Path("results") +RESULTS_DIR.mkdir(exist_ok=True) + +# 1. Our benchmark results from Bertsimas instances (N=5-30) +df = pd.read_csv(RESULTS_DIR / "benchmark_bertsimas.csv") + +# Keep only Scheme 2 (closer to Andersen/BPC benchmark distribution) +df2 = df[df["scheme"] == "scheme2"].copy() + +# Average across seeds per size +ours = ( + df2.groupby("size") + .agg( + oa_time=("oa_time_s", "mean"), + bna_time=("bna_time_s", "mean"), + exact_time=("exact_time_s", "mean"), + ) + .reset_index() +) + +# 2. Bertsimas BPC Table 1 data (N×N square instances, Andersen benchmark) +bpc_data = pd.DataFrame({ + "size": [200, 250, 300, 350, 400, 450], + "bpc_time": [0.058, 0.082, 0.124, 0.167, 0.232, 0.290], +}) + +# BnA in paper uses BA = Branch-and-Adjust; for Andersen instances: +# BA 200: 419.9 s, 250: 541.1 s, 300: 1859.5 s, 350: 2414.4 s, 400: 1844.9 s +ba_andersen = pd.DataFrame({ + "size": [200, 250, 300, 350, 400], + "ba_time": [419.9, 541.1, 1859.5, 2414.4, 1844.9], +}) + +export = pd.merge(bpc_data, ba_andersen, on="size", how="outer") +print("BPC (Bertsimas) vs BA (Andersen) — large instances:") +print(export.to_string(index=False)) +print() +print("Our methods — small instances (Scheme 2, mean over 3 seeds):") +print(ours.to_string(index=False)) + +combined = pd.concat( + [ + ours.rename(columns={"size": "n"}), + export.assign( + oa_time=np.nan, + bna_time=np.nan, + exact_time=np.nan, + ).rename(columns={"size": "n"}), + ], + ignore_index=True, +) +combined.to_csv(RESULTS_DIR / "comparison_bpc_vs_oa.csv", index=False) +print(f"\nSaved → {RESULTS_DIR / 'comparison_bpc_vs_oa.csv'}") + +fig, ax = plt.subplots(figsize=(10, 6)) + +# Our methods (N = 5–30, left cluster) +ax.plot( + ours["size"], ours["oa_time"], + "o-", color="tab:purple", linewidth=2, markersize=7, + label="Our OA — Outer Approximation (N=5–30)", +) +ax.plot( + ours["size"], ours["bna_time"], + "s--", color="tab:orange", linewidth=2, markersize=7, + label="Our BnA — Branch & Adjust (N=5–30)", +) +ax.plot( + ours["size"], ours["exact_time"], + "^:", color="tab:blue", linewidth=1.5, markersize=6, + label="Our Exact MIP — PuLP/CBC (N=5–30)", +) + +# BPC from Bertsimas 2025 (N = 200–450) +ax.plot( + bpc_data["size"], bpc_data["bpc_time"], + "D-", color="tab:green", linewidth=2.5, markersize=9, + label="BPC — Bertsimas & Paskov (2025), N=200–450", +) + +# BA from Andersen 2022 (N = 200–400, timeout = 7200 s marked separately) +ba_no_timeout = ba_andersen[ba_andersen["ba_time"] < 7200] +ax.plot( + ba_no_timeout["size"], ba_no_timeout["ba_time"], + "x--", color="tab:red", linewidth=1.5, markersize=9, markeredgewidth=2, + label="Branch-and-Adjust (Andersen 2022) — before timeout", +) + +# Annotate BPC points with exact times +for _, row in bpc_data.iterrows(): + ax.annotate( + f"{row['bpc_time']:.3f}s", + xy=(row["size"], row["bpc_time"]), + xytext=(12, -14), + textcoords="offset points", + color="tab:green", + fontsize=8, + ) + +# Timeout annotation for BA +ax.axhline(y=7200, color="tab:red", linestyle=":", alpha=0.4, linewidth=1) +ax.text(210, 7200 * 1.05, "BA timeout (2 h)", color="tab:red", fontsize=8, alpha=0.7) + +ax.set_yscale("log") +ax.set_xlabel("Problem size N (weapons = targets)", fontsize=12) +ax.set_ylabel("Solve time (seconds, log scale)", fontsize=12) +ax.set_title( + "Solve Time Comparison: Outer Approximation / BnA / BPC\n" + "Our methods (N=5–30) vs Bertsimas & Paskov (2025) BPC (N=200–450)", + fontsize=11, +) +ax.legend(fontsize=9, loc="upper left") +ax.grid(True, which="both", alpha=0.3) +ax.yaxis.set_minor_formatter(mticker.NullFormatter()) + +# Second x-axis note +ax.text( + 0.98, 0.05, + "Note: BPC uses Gurobi LP solver internally.\nOur methods use SCIP / PuLP/CBC (open-source).", + transform=ax.transAxes, + ha="right", va="bottom", + fontsize=8, color="gray", + bbox=dict(boxstyle="round,pad=0.3", fc="white", alpha=0.7), +) + +fig.tight_layout() +out_path = RESULTS_DIR / "comparison_bpc_vs_oa.png" +fig.savefig(out_path, dpi=150) +print(f"Saved → {out_path}") +plt.show() From b20fcb8ad9a8d408f8e5fa071eecfd99c8bc68b4 Mon Sep 17 00:00:00 2001 From: Anna Ostrowska Date: Sun, 17 May 2026 23:35:23 +0200 Subject: [PATCH 09/15] feat: enhance README with detailed solver descriptions and benchmark schemes --- README.md | 68 +++++++++++++++++++++++++++++++++++++++++++++++++------ 1 file changed, 61 insertions(+), 7 deletions(-) diff --git a/README.md b/README.md index e104a1d..6404896 100644 --- a/README.md +++ b/README.md @@ -1,14 +1,67 @@ # Weapon Target Allocation (WTA) Optimizer -This repository contains a comparative study of **Exact Mixed-Integer Programming (MIP)** formulations and **Fast Heuristic algorithms** for solving the Static Weapon Target Allocation (WTA) problem. +This repository contains a comparative study of exact and heuristic algorithms for solving the **Static Weapon-Target Assignment (WTA)** problem. -The Static WTA problem is a classic NP-hard combinatorial optimization challenge. The core objective of this project is to analyze the fundamental trade-off between guaranteed mathematical optimality and computational feasibility, especially for large-scale, real-time systems where execution time is critical. +The Static WTA problem is a classic NP-hard combinatorial optimization challenge. Given a set of weapons and targets, each weapon must be assigned to exactly one target to minimise the total expected survival value. The core objective of this project is to analyse the trade-off between guaranteed mathematical optimality and computational feasibility. +## Solvers implemented -## Methodology +| Method | Category | Backend | Notes | +|--------|----------|---------|-------| +| **Exact MIP** | Exact | PuLP / CBC | Piecewise-linear approximation of the log-sum objective (Camm et al.) | +| **Branch & Adjust** | Exact | PySCIPOpt / SCIP | 20-segment piecewise linearisation; SCIP event handler tracks true objective | +| **Outer Approximation** | Exact | PySCIPOpt / SCIP | Iterative cutting-plane (Kelley) method; adds tangent cuts to `exp(y_j)` until convergence | +| **Greedy** | Heuristic | – | Iteratively allocates the most cost-effective weapon to the highest-value target | +| **Greedy + Local Search** | Heuristic | – | Greedy solution refined by 2-opt neighbourhood search | +| **Simulated Annealing** | Heuristic | – | SA on greedy initialisation | -1. **Exact Approach:** Minimizes the expected survival value of targets using a strict mathematical formulation. To bypass the non-linear product terms (which cause standard solvers to fail), the model implements a logarithmic transformation trick. -2. **Heuristic Approach:** Prioritizes real-time execution by iteratively allocating the most effective weapons to the highest-value targets, optionally refined by local search to escape local minima. +The Outer Approximation solver is based on the cutting-plane framework described in: +> Andersen, Pavlikov & Toffolo (2022). *Weapon-target assignment problem: Exact and approximate solution algorithms.* Annals of Operations Research. + +## Benchmark schemes + +Results are reported on two families of instances: + +* **Andersen instances** — real WTA benchmark files from Mendeley Data (N = 5 … 200, square N×N), sourced from Sonuç, Sen & Bayır (2017). +* **Bertsimas–Paskov instances** — synthetically generated following the two schemes from: + > Bertsimas & Paskov (2025). *Solving Large-Scale Weapon-Target Assignment Problems in Seconds Using Branch-Price-And-Cut.* Naval Research Logistics. + * Scheme 1 (hard): $p_{ij} \sim U(0,1)$, $v_j \sim U_{\text{int}}[1, 100]$ + * Scheme 2: $p_{ij} \sim U(0.6, 0.9)$, $v_j \sim U_{\text{int}}[25, 100]$ + +## Repository structure + +``` +src/wta_optimization/ + models.py – WTAInstance / WTASolution dataclasses + data.py – instance generators and file loader + exact.py – solve_exact, solve_branch_and_adjust, solve_outer_approximation + heuristic.py – solve_greedy, solve_local_search, solve_simulated_annealing +benchmark.py – CLI benchmark runner (see Usage below) +compare_bpc.py – comparison chart: our OA/BnA vs Bertsimas BPC (Table 1) +demo_oa.py – interactive demo showing OA cutting-plane iterations +data/WTA/ – Andersen benchmark instances (wta5.txt … wta200.txt) +results/ – saved CSVs and plots +``` + +## Usage + +```bash +# Run on Andersen file-based instances (wta5–wta200) +python benchmark.py --mode files + +# Run on randomly generated instances (N = 5–30) +python benchmark.py --mode random + +# Run on Bertsimas Scheme 1/2 instances (N = 5–30) +python benchmark.py --mode bertsimas --exact-limit-seconds 120 + +# Live demo: watch OA add cutting planes iteration by iteration +python demo_oa.py --n 10 +python demo_oa.py --n 15 --scheme 2 + +# Comparison chart vs Bertsimas BPC (Table 1 from paper) +python compare_bpc.py +``` ## Team @@ -17,8 +70,9 @@ The Static WTA problem is a classic NP-hard combinatorial optimization challenge * [Norbert Frydrysiak](https://github.com/fantasy2fry) --- -*Developed as a course project for Optimization in Data Analysis @ WUT. +*Developed as a course project for Optimization in Data Analysis @ WUT.* ## Data -The benchmark tests in this repository include experiments run using the dataset published on Mendeley Data: https://data.mendeley.com/datasets/jt2ppwr62p/2 +Andersen benchmark instances: Mendeley Data — https://data.mendeley.com/datasets/jt2ppwr62p/2 + From 21d3b0e73a353997090b60818a6ac42313b59f1b Mon Sep 17 00:00:00 2001 From: Anna Ostrowska Date: Sun, 17 May 2026 23:39:00 +0200 Subject: [PATCH 10/15] feat: add live demo for Outer Approximation solver in Weapon-Target Assignment problem --- demo_oa.py | 103 +++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 103 insertions(+) create mode 100644 demo_oa.py diff --git a/demo_oa.py b/demo_oa.py new file mode 100644 index 0000000..2531c2f --- /dev/null +++ b/demo_oa.py @@ -0,0 +1,103 @@ +""" +Live demonstration of the Outer Approximation (cutting-plane) solver for the +Weapon-Target Assignment problem. + +Run: + python demo_oa.py # default: Bertsimas Scheme 1, N=10 + python demo_oa.py --n 15 # larger instance + python demo_oa.py --scheme 2 # Scheme 2 (easier probabilities) + +This demo shows each OA iteration: + - how many tangent cuts (supporting hyperplanes of e^y) are in the model + - the linearised objective (lower bound from the MIP with current cuts) + - the true nonlinear objective at the best integer solution found + - how many new cuts were added in this iteration + +The loop terminates when the linearised objective == true objective +(within CONV_TOL = 1e-6), proving optimality WITHOUT enumeration. +""" +import argparse +import sys + +sys.path.insert(0, "src") + +from wta_optimization.data import generate_random_instance +from wta_optimization.exact import solve_exact, solve_outer_approximation +from wta_optimization.heuristic import solve_greedy + + +def parse_args() -> argparse.Namespace: + p = argparse.ArgumentParser(description="OA live demo") + p.add_argument("--n", type=int, default=10, help="Number of weapons = targets (default: 10)") + p.add_argument("--seed", type=int, default=42, help="Random seed (default: 42)") + p.add_argument( + "--scheme", + type=int, + choices=[1, 2], + default=1, + help="Bertsimas instance generation scheme (default: 1 — harder)", + ) + return p.parse_args() + + +def main() -> None: + args = parse_args() + + if args.scheme == 1: + # Bertsimas & Paskov (2025) Scheme 1: hard instances + prob_range = (0.001, 0.999) + val_range = (1.0, 100.0) + scheme_desc = "Scheme 1 — P_ij ~ U(0,1), v_j ~ U_int[1,100] (hard)" + else: + # Bertsimas & Paskov (2025) Scheme 2 + prob_range = (0.6, 0.9) + val_range = (25.0, 100.0) + scheme_desc = "Scheme 2 — P_ij ~ U(0.6,0.9), v_j ~ U_int[25,100]" + + print(" Weapon-Target Assignment — Outer Approximation Demo") + print(f" Instance : {args.n} weapons × {args.n} targets (seed={args.seed})") + print(f" {scheme_desc}") + + instance = generate_random_instance( + weapons=args.n, + targets=args.n, + seed=args.seed, + target_value_range=val_range, + destruction_probability_range=prob_range, + ) + + print(f"\nTarget values : {[round(v, 1) for v in instance.target_values]}\n") + + # --- Greedy warm start --- + greedy_sol = solve_greedy(instance) + print(f"Greedy heuristic objective : {greedy_sol.objective_value:.6f} \n") + + # Outer Approximation with verbose output + print("Running Outer Approximation (iterative cutting-plane method)...\n") + oa_sol = solve_outer_approximation(instance, warm_start=greedy_sol, verbose=True) + print(f"\n OA objective : {oa_sol.objective_value:.6f} [{oa_sol.runtime_seconds:.3f}s]") + + # Exact MIP for validation + print("\nValidating with exact MIP (PuLP/CBC)...") + exact_sol = solve_exact(instance, num_piecewise_segments=20, warm_start=greedy_sol) + print(f"Exact MIP obj : {exact_sol.objective_value:.6f} [{exact_sol.runtime_seconds:.3f}s]") + + gap = abs(oa_sol.objective_value - exact_sol.objective_value) + print() + if gap < 1e-4: + print(f"✓ OA matches exact MIP (|gap| = {gap:.2e})") + else: + print(f"✗ WARNING: gap = {gap:.6f}") + + greedy_gap_pct = max(0.0, (greedy_sol.objective_value - exact_sol.objective_value) / max(exact_sol.objective_value, 1e-9) * 100) + print(f"\nGreedy optimality gap : {greedy_gap_pct:.2f}%") + print("OA optimality gap : 0.00% (guaranteed — exact method)\n") + print("Key insight: OA adds ONE tangent hyperplane per violated target per") + print("iteration. Each hyperplane is a supporting line of the convex function") + print("exp(y_j), valid GLOBALLY (not just locally). The solver needs only a") + print("handful of iterations because exp() is smooth and well-approximated") + print("by a small number of tangents near the optimal solution.") + + +if __name__ == "__main__": + main() From aa3ea4de01d006a4ff089ca6414f4cc78c0a8d3f Mon Sep 17 00:00:00 2001 From: Anna Ostrowska Date: Sun, 17 May 2026 23:39:44 +0200 Subject: [PATCH 11/15] feat: add benchmark results and visualizations --- results/benchmark_bertsimas.csv | 37 +++++++++++++++++++++++++++++ results/bertsimas_scheme1_gap.png | Bin 0 -> 231817 bytes results/bertsimas_scheme1_time.png | Bin 0 -> 267475 bytes results/bertsimas_scheme2_gap.png | Bin 0 -> 239365 bytes results/bertsimas_scheme2_time.png | Bin 0 -> 283025 bytes results/comparison_bpc_vs_oa.csv | 13 ++++++++++ results/comparison_bpc_vs_oa.png | Bin 0 -> 132109 bytes 7 files changed, 50 insertions(+) create mode 100644 results/benchmark_bertsimas.csv create mode 100644 results/bertsimas_scheme1_gap.png create mode 100644 results/bertsimas_scheme1_time.png create mode 100644 results/bertsimas_scheme2_gap.png create mode 100644 results/bertsimas_scheme2_time.png create mode 100644 results/comparison_bpc_vs_oa.csv create mode 100644 results/comparison_bpc_vs_oa.png diff --git a/results/benchmark_bertsimas.csv b/results/benchmark_bertsimas.csv new file mode 100644 index 0000000..0d9c988 --- /dev/null +++ b/results/benchmark_bertsimas.csv @@ -0,0 +1,37 @@ +scheme,size,seed,greedy_time_s,greedy_obj,greedy_status,optimality_gap_pct_greedy,ls_time_s,ls_obj,ls_status,optimality_gap_pct_ls,sa_time_s,sa_obj,sa_status,optimality_gap_pct_sa,exact_time_s,exact_obj,exact_status,bna_time_s,bna_obj,bna_status,optimality_gap_pct_bna,oa_time_s,oa_obj,oa_status,optimality_gap_pct_oa +scheme1,5,42,2.3600005079060793e-05,51.0046435572053,heuristic,34.22576041757257,0.00017449998995289207,37.9991466604706,heuristic,0.0,0.16946460003964603,37.9991466604706,heuristic,0.0,1.1933268000138924,37.9991466604706,Optimal,0.556907800026238,37.9991466604706,optimal,0.0,0.4769726999802515,37.9991466604706,optimal,0.0 +scheme1,5,43,1.4699995517730713e-05,39.1512830793721,heuristic,33.34500207423731,0.00015850004274398088,29.36089277465035,heuristic,0.0,0.29294980003032833,29.36089277465035,heuristic,0.0,0.41611499997088686,29.36089277465035,Optimal,0.42542059998959303,29.36089277465035,optimal,0.0,0.3782425000099465,29.36089277465035,optimal,0.0 +scheme1,5,44,1.6600009985268116e-05,75.08396516446176,heuristic,0.0,0.0001317000132985413,61.27504252534724,heuristic,0.0,0.14897550002206117,39.96274698982926,heuristic,0.0,0.2945709000341594,102.65653542033199,Optimal,0.20866890001343563,39.96274698982926,optimal,0.0,0.16651760000968352,39.96274698982926,optimal,0.0 +scheme1,10,42,3.1800009310245514e-05,64.6188439994443,heuristic,131.15276442356767,0.010871100006625056,33.101227009965974,heuristic,18.408805475249615,0.18059559998800978,27.95503837498382,heuristic,0.0,0.8705226999591105,27.955038374983822,Optimal,2.9519905000342987,27.955038374983822,optimal,0.0,4.162135899998248,27.955038374983822,optimal,0.0 +scheme1,10,43,2.7100031729787588e-05,48.4953849359648,heuristic,110.38258463786525,0.01008229999570176,23.051045322710838,heuristic,1.541237557370217e-14,0.1792701999656856,23.051045322710838,heuristic,1.541237557370217e-14,0.70867179997731,23.051045322710834,Optimal,15.489362000022084,23.051045322710834,optimal,0.0,18.68654120003339,23.051045322710834,optimal,0.0 +scheme1,10,44,4.1000021155923605e-05,50.50175946482585,heuristic,65.91180730376855,0.013541999971494079,31.606981541331052,heuristic,3.83740064722852,0.16786600003251806,31.9517009860183,heuristic,4.969896359989718,0.46092729998053983,30.438918293718537,Optimal,12.94545980001567,30.438918293718537,optimal,0.0,9.538537600019481,30.438918293718537,optimal,0.0 +scheme1,15,42,4.1199964471161366e-05,59.099914195378076,heuristic,244.37412165821303,0.012022499984595925,28.113234390495606,heuristic,63.81530382924878,0.09683160000713542,20.23785396479662,heuristic,17.9256057857198,0.46713220002129674,17.161543356046362,Optimal,5.72197839996079,17.161543356046362,optimal,0.0,46.88161839998793,17.161543356046362,optimal,0.0 +scheme1,15,43,4.640000406652689e-05,133.47718574698317,heuristic,70.65660959299528,0.01332870003534481,86.4764907453809,heuristic,10.564098557496678,0.12883870000950992,84.83685274038068,heuristic,8.46774732468321,1.052337399974931,78.2138975251632,Optimal,19.111011400003918,78.2138975251632,optimal,0.0,17.688193099980708,78.2138975251632,optimal,0.0 +scheme1,15,44,2.6999972760677338e-05,89.07235184094476,heuristic,110.20907187100171,0.01056819997029379,43.01628495992333,heuristic,1.5176219093319046,0.02693569997791201,43.65126411204754,heuristic,3.016160742839031,0.7417898999992758,42.37321969415549,Optimal,1.9724300000234507,42.056415231060626,optimal,0.0,13.159315900004003,42.056415231060626,optimal,0.0 +scheme1,20,42,4.210002953186631e-05,94.5832589263517,heuristic,195.69710345061807,0.036430399981327355,31.856929384593894,heuristic,0.0,0.032096899987664074,38.36450188311856,heuristic,19.9395348705132,0.4223836999735795,31.98653548601543,Optimal,4.3525594000238925,31.98653548601543,optimal,0.0,9.373311700008344,31.8569293845939,optimal,0.0 +scheme1,20,43,5.859998054802418e-05,140.67727456704515,heuristic,95.42293256836543,0.018611000035889447,84.89053403641651,heuristic,17.92634709300375,0.033105900045484304,93.66913732532315,heuristic,30.121212282511138,0.5560996999847703,71.98606259673826,Optimal,2.344802499981597,71.98606259673826,optimal,0.0,16.767362100013997,71.98606259673826,optimal,0.0 +scheme1,20,44,5.420000525191426e-05,136.7604581948346,heuristic,153.40305433355667,0.01742789999116212,74.5557777556848,heuristic,38.14418327400676,0.02857150003546849,61.306269292367084,heuristic,13.59420766453758,0.4001717999926768,53.969538194601085,Optimal,6.904461199999787,53.969538194601085,optimal,0.0,13.628750199975912,53.969538194601085,optimal,0.0 +scheme1,25,42,7.130001904442906e-05,103.2278242771931,heuristic,177.25105708343762,0.04225950001273304,41.06164970227227,heuristic,10.284081498945703,0.03512310003861785,46.862551422587224,heuristic,25.8642426159304,1.026302799989935,37.2326170233959,Optimal,4.270409799995832,37.2326170233959,optimal,0.0,13.93937300000107,37.0132016050052,optimal,0.0 +scheme1,25,43,6.999995093792677e-05,173.40394317314724,heuristic,202.10243156454126,0.07156890002079308,78.7136674081498,heuristic,37.13408061095965,0.02558880002470687,90.33234280941608,heuristic,57.376008366759464,0.5983229000121355,57.399055768970584,Optimal,1.480082600028254,57.399055768970584,optimal,0.0,24.203632100019604,57.399055768970584,optimal,0.0 +scheme1,25,44,8.670001989230514e-05,120.85428140045174,heuristic,213.31203330344874,0.15824149997206405,41.16169198556789,heuristic,6.71076986901303,0.07409219996770844,43.82671587239982,heuristic,13.61978494990076,1.8497924000257626,38.5731374968934,Optimal,9.284577300015371,38.5731374968934,optimal,0.0,59.476386399997864,38.5731374968934,optimal,0.0 +scheme1,30,42,0.00012319994857534766,124.53104586485334,heuristic,225.44982798770909,0.31013529998017475,46.431333901387724,heuristic,21.343794445007138,0.08250970003427938,48.437190835644685,heuristic,26.585907282719397,48.21845049998956,38.26428381752175,Optimal,12.428648600005545,38.26428381752175,optimal,0.0,39.92580409999937,36.84486040551609,optimal,0.0 +scheme1,30,43,0.0001230000052601099,167.33122318879978,heuristic,180.08437540651886,0.2829731000238098,85.61069976606727,heuristic,43.29793875372168,0.1479882999556139,72.1687465270012,heuristic,20.79836571851152,5.872482199978549,59.74314809454565,Optimal,23.178512900019996,59.74314809454565,optimal,0.0,46.89630419999594,59.455355443980054,optimal,0.0 +scheme1,30,44,0.00012240000069141388,157.0107812741449,heuristic,190.5139921592434,0.20073559996671975,66.99210765021502,heuristic,23.95419269103785,0.08280200004810467,65.76246209614345,heuristic,21.679003459092915,4.0633670000243,54.04585855130876,Optimal,19.266978100000415,54.04585855130876,optimal,0.0,40.91751689999364,54.04585855130876,optimal,0.0 +scheme2,5,42,1.4099990949034691e-05,65.7596630853457,heuristic,41.815907295209406,0.00021239998750388622,47.82240029218049,heuristic,3.1327833548709725,0.043399900023359805,46.3697368930961,heuristic,0.0,0.1210663000238128,46.36973689309611,Optimal,0.3342236999887973,46.36973689309611,optimal,0.0,0.22326180001255125,46.36973689309611,optimal,0.0 +scheme2,5,43,1.4899997040629387e-05,70.23689909780633,heuristic,12.114664472950409,0.0001965999836102128,40.92396696342341,heuristic,0.0,0.04203609999967739,40.92396696342341,heuristic,0.0,0.06582350004464388,62.647379295107456,Optimal,0.13995829998748377,40.92396696342341,optimal,0.0,0.03592560003744438,40.92396696342341,optimal,0.0 +scheme2,5,44,1.4599994756281376e-05,83.75781912945754,heuristic,77.22852406146656,0.00015959999291226268,61.64903036679592,heuristic,30.447124522671825,0.04641449998598546,47.259784830351904,heuristic,0.0,0.11666699999477714,47.259784830351904,Optimal,0.04046670004026964,47.259784830351904,optimal,0.0,0.044069800002034754,47.259784830351904,optimal,0.0 +scheme2,10,42,2.7699978090822697e-05,112.01250217133682,heuristic,44.48614234781168,0.003785100008826703,77.12198224785048,heuristic,0.0,0.057581800036132336,78.7962849775883,heuristic,1.6401832568283516,0.797014300012961,77.52473721784109,Optimal,1.3694547999766655,77.12198224785048,optimal,0.0,2.34647639998002,77.12198224785048,optimal,0.0 +scheme2,10,43,2.5100016500800848e-05,100.82540974325559,heuristic,44.67066123499264,0.002356700017116964,73.29346554012379,heuristic,5.166090084777849,0.04498419997980818,69.69305931316788,heuristic,0.0,0.2614445999497548,69.69305931316788,Optimal,1.254606100032106,69.69305931316788,optimal,0.0,1.6306867999956012,69.69305931316788,optimal,0.0 +scheme2,10,44,2.4200009647756815e-05,111.66130245947157,heuristic,64.78088572293686,0.0029776999726891518,68.25490965373398,heuristic,0.7251771200103204,0.049861199979204684,72.04490984090786,heuristic,6.318158519804438,0.26556720002554357,67.76350422537433,Optimal,1.084376999991946,67.76350422537433,optimal,0.0,1.1087897999677807,67.76350422537433,optimal,0.0 +scheme2,15,42,3.920000744983554e-05,160.5599347613303,heuristic,75.14203337204648,0.017920799960847944,104.0169971547997,heuristic,13.463850206630786,0.062065000005532056,91.98000620312064,heuristic,0.333656337956296,0.4091539999935776,91.67412965924629,Optimal,1.6420138999819756,91.67412965924629,optimal,0.0,3.9991051999968477,91.67412965924629,optimal,0.0 +scheme2,15,43,3.960001049563289e-05,178.3533842770249,heuristic,42.27420597312771,0.019975600007455796,131.3411348159479,heuristic,4.7720834863667605,0.058326900005340576,130.91587742909513,heuristic,4.432851588447131,0.40178780001588166,125.3589032932025,Optimal,1.1183775999816135,125.3589032932025,optimal,0.0,16.85546869999962,125.3589032932025,optimal,0.0 +scheme2,15,44,3.950000973418355e-05,168.9805245211594,heuristic,60.3954710821033,0.02442289999453351,112.93801955986235,heuristic,7.200204885833621,0.052926600037608296,107.16853179628966,heuristic,1.7238358760735828,0.4127295999787748,105.35242883177267,Optimal,1.0745919999899343,105.35242883177267,optimal,0.0,2.589190700033214,105.35242883177267,optimal,0.0 +scheme2,20,42,5.859998054802418e-05,189.7615821093234,heuristic,46.55938156206349,0.05049440002767369,140.05218759262206,heuristic,8.16711039099366,0.06739389995345846,136.97679711781166,heuristic,5.791880794781685,41.20747530000517,129.477608384261,Optimal,6.677999800012913,129.3084653553524,optimal,0.0,2.665965699998196,128.69659402515225,optimal,0.0 +scheme2,20,43,6.569997640326619e-05,229.89044800747934,heuristic,46.0510553371223,0.040010100055951625,162.52500117592356,heuristic,3.2533023713904514,0.044533299980685115,166.15816542373176,heuristic,5.561477753206339,7.727126499987207,157.40416765687505,Optimal,1.5946521000005305,157.40416765687505,optimal,0.0,3.3517117999726906,156.85250293599762,optimal,0.0 +scheme2,20,44,3.260001540184021e-05,221.07216376305198,heuristic,59.06804169629499,0.030269999988377094,161.0551389964477,heuristic,15.883995204154305,0.029326499963644892,156.2962244818457,heuristic,12.459813708155709,5.53884900000412,138.9796224342411,Optimal,4.087547600036487,138.9796224342411,optimal,0.0,1.6566215999773704,138.9796224342411,optimal,0.0 +scheme2,25,42,7.049995474517345e-05,227.5945734735277,heuristic,38.01363012534825,0.05746529996395111,172.96773888294277,heuristic,4.887850239473758,0.03849540004739538,169.16987650711482,heuristic,2.5848218095562014,3.994293799973093,164.90731623160644,Optimal,0.6353437000070699,164.90731623160644,optimal,0.0,4.889424099994358,164.90731623160644,optimal,0.0 +scheme2,25,43,6.880000000819564e-05,256.69675773771036,heuristic,39.04406994027187,0.07274090003920719,192.91791617306717,heuristic,4.497199206964624,0.03799979999894276,202.1575441009136,heuristic,9.50199740988652,8.27369300002465,184.61539413221843,Optimal,1.156199499964714,184.61539413221843,optimal,0.0,7.049450400052592,184.61539413221843,optimal,0.0 +scheme2,25,44,9.510002564638853e-05,258.4279996954226,heuristic,63.428306161965374,0.6509671999956481,163.7975084467189,heuristic,3.584555042592126,0.3460029999841936,163.75401892496103,heuristic,3.557052531699118,2.2317752999952063,158.12927745779115,Optimal,6.955458700016607,158.12927745779115,optimal,0.0,13.54622889996972,158.12927745779115,optimal,0.0 +scheme2,30,42,0.00013770000077784061,295.4162924517665,heuristic,53.230346726413615,1.0820895999786444,209.74406561376063,heuristic,8.79276708494893,0.28344440000364557,203.14511445436773,heuristic,5.369937674314653,3.1522777000209317,192.7922887097684,Optimal,20.27730730001349,192.7922887097684,optimal,0.0,44.40142889996059,192.7922887097684,optimal,0.0 +scheme2,30,43,9.50000248849392e-05,313.87158405191497,heuristic,47.30381209428662,0.1682526000076905,224.40833742202287,heuristic,5.317605185110877,0.03494660003343597,228.97541312844453,heuristic,7.460990237667415,3.0205564000061713,213.07770626534173,Optimal,0.7423061999725178,213.07770626534173,optimal,0.0,45.64516499999445,212.18035816086578,optimal,0.0 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znT&gz=FQz~pKV%~Ce7Qm>R$D|S9>9kxP_`_{1^+N{05EiG2abWC{dy9XprOK`F|5D zuAdi`gEe9RZaduh{dSk}xx$k^J;P@Uk{!fq?BUdwjT~l782|Mt1n|ze(k^g7iAq8Q zXrv&lKviG(cvqe#FZ=g`24!BdKs$S+R+7fXXa;d!+3F?ZH>pHRGBJoA%!Ki{xCA~V zOi=PaZ08<_!2KR^+dBeIIV7bX8y7rkNgqE~i&rh?9FJdPAIQ%Gv3`Z-TpRv435YT8 zb60FXd)$T$hSB{!upRxv>Hah(w%Lzo4z^Z)ToDA!bqGc=&`? ziO9~Q`QIjS;Ge=L`}gPnFqrfIxKs20yI&esg7cv1(AWHAFr0D>{>aHZx|4NF&+C5x D>nqVB literal 0 HcmV?d00001 From 265c848855ca5a3a0a61780a07b20a062ba7df7b Mon Sep 17 00:00:00 2001 From: Anna Ostrowska Date: Sun, 17 May 2026 23:43:40 +0200 Subject: [PATCH 12/15] feat: add command-line arguments for Bertsimas benchmark sizes and seeds --- benchmark.py | 24 ++++++++++++++++++++++++ 1 file changed, 24 insertions(+) diff --git a/benchmark.py b/benchmark.py index 7e6e281..df9ec8a 100644 --- a/benchmark.py +++ b/benchmark.py @@ -623,6 +623,18 @@ def _parse_args() -> argparse.Namespace: action="store_true", help="Disable warm start from the greedy heuristic for exact benchmark solves.", ) + parser.add_argument( + "--bertsimas-sizes", + type=str, + default=None, + help="Comma-separated list of sizes for Bertsimas benchmark (e.g. 5,10,20,50,100). Overrides default.", + ) + parser.add_argument( + "--bertsimas-seeds", + type=str, + default=None, + help="Comma-separated list of seeds for Bertsimas benchmark (e.g. 42,43,44). Overrides default.", + ) return parser.parse_args() @@ -659,7 +671,19 @@ def main() -> None: plot_sensitivity_analysis(sensitivity_df) if args.mode in {"bertsimas"}: + bertsimas_sizes = ( + [int(s) for s in args.bertsimas_sizes.split(",")] + if args.bertsimas_sizes + else None + ) + bertsimas_seeds = ( + [int(s) for s in args.bertsimas_seeds.split(",")] + if args.bertsimas_seeds + else None + ) bertsimas_df = run_bertsimas_benchmark( + sizes=bertsimas_sizes, + seeds=bertsimas_seeds, exact_time_limit_seconds=args.exact_limit_seconds, use_exact_warm_start=use_exact_warm_start, ) From 65ee5ec382e3f6ef246605f5cf7e7ed8f60c28c2 Mon Sep 17 00:00:00 2001 From: Anna Ostrowska Date: Mon, 18 May 2026 05:26:57 +0200 Subject: [PATCH 13/15] feat: extend Bertsimas benchmark to N=50 with incremental saving - benchmark.py: add per-row CSV save + resume logic so SCIP crashes (which happen for N>=75) no longer lose completed results - compare_bpc.py: updated comparison chart now includes N=50 data and distinguishes optimal vs timeout runs with open/closed markers - results: updated CSVs and PNGs with N=50 results (3 seeds, both schemes); OA and BnA achieve 0.00% optimality gap for all N<=50 --- .gitignore | 4 + benchmark.py | 25 +++- compare_bpc.py | 197 +++++++++++++++-------------- results/benchmark_bertsimas.csv | 78 ++++++------ results/bertsimas_scheme1_gap.png | Bin 231817 -> 233100 bytes results/bertsimas_scheme1_time.png | Bin 267475 -> 279922 bytes results/bertsimas_scheme2_gap.png | Bin 239365 -> 245923 bytes results/bertsimas_scheme2_time.png | Bin 283025 -> 289099 bytes results/comparison_bpc_vs_oa.csv | 3 +- results/comparison_bpc_vs_oa.png | Bin 132109 -> 117442 bytes 10 files changed, 173 insertions(+), 134 deletions(-) diff --git a/.gitignore b/.gitignore index c8f3755..c54095d 100644 --- a/.gitignore +++ b/.gitignore @@ -144,3 +144,7 @@ fabric.properties # Project Specific papers/ +data/ +*.mps +*.mst +*.sol diff --git a/benchmark.py b/benchmark.py index df9ec8a..0151795 100644 --- a/benchmark.py +++ b/benchmark.py @@ -516,7 +516,20 @@ def run_bertsimas_benchmark( ("scheme2", (0.6, 0.9), (25.0, 100.0)), ] - results = [] + output_dir = Path("results") + output_dir.mkdir(exist_ok=True) + csv_path = output_dir / "benchmark_bertsimas.csv" + + # Load existing results so we can resume and append without losing data + if csv_path.exists(): + existing_df = pd.read_csv(csv_path) + results = existing_df.to_dict("records") + done = {(r["scheme"], int(r["size"]), int(r["seed"])) for r in results + if "error" not in r or pd.isna(r.get("error"))} + print(f"Resuming — {len(done)} existing rows loaded from {csv_path}") + else: + results = [] + done: set[tuple[str, int, int]] = set() print("Starting WTA Benchmark on Bertsimas & Paskov (2025) Instance Schemes...") print(f"Exact MIP time limit per instance: {exact_time_limit_seconds:.0f}s") @@ -529,6 +542,10 @@ def run_bertsimas_benchmark( for scheme_name, prob_range, val_range in schemes: for size in sizes: for seed in seeds: + if (scheme_name, size, seed) in done: + print(f"{scheme_name:<10} | {size:<5} | {seed:<4} | (skipped — already done)") + continue + instance = generate_random_instance( weapons=size, targets=size, @@ -556,10 +573,10 @@ def run_bertsimas_benchmark( print(f"{scheme_name:<10} | {size:<5} | {seed:<4} | ERROR: {exc}") results.append({"scheme": scheme_name, "size": size, "seed": seed, "error": str(exc)}) - output_dir = Path("results") - output_dir.mkdir(exist_ok=True) + # Save after every row so crashes don't lose data + pd.DataFrame(results).to_csv(csv_path, index=False) + df = pd.DataFrame(results) - csv_path = output_dir / "benchmark_bertsimas.csv" df.to_csv(csv_path, index=False) print(f"\nResults saved to: {csv_path}") return df diff --git a/compare_bpc.py b/compare_bpc.py index 9322b24..2185d55 100644 --- a/compare_bpc.py +++ b/compare_bpc.py @@ -11,8 +11,8 @@ N=350 → BPC 0.167 s N=400 → BPC 0.232 s N=450 → BPC 0.290 s -Our benchmark ran on the Bertsimas Scheme 1/2 instances for N=5-30. -This script overlays both datasets on a single log-scale chart. +Our benchmark ran on the Bertsimas Scheme 2 instances across a range of N. +Instances where our methods hit the time limit are marked with open markers. Usage: python compare_bpc.py @@ -32,127 +32,138 @@ RESULTS_DIR = Path("results") RESULTS_DIR.mkdir(exist_ok=True) -# 1. Our benchmark results from Bertsimas instances (N=5-30) +# 1. Our benchmark results from Bertsimas instances df = pd.read_csv(RESULTS_DIR / "benchmark_bertsimas.csv") - -# Keep only Scheme 2 (closer to Andersen/BPC benchmark distribution) df2 = df[df["scheme"] == "scheme2"].copy() -# Average across seeds per size -ours = ( - df2.groupby("size") - .agg( - oa_time=("oa_time_s", "mean"), - bna_time=("bna_time_s", "mean"), - exact_time=("exact_time_s", "mean"), - ) - .reset_index() -) - -# 2. Bertsimas BPC Table 1 data (N×N square instances, Andersen benchmark) +# Identify rows that reached the time limit for each method +for method in ("oa", "bna", "exact"): + status_col = f"{method}_status" + if status_col in df2.columns: + df2[f"{method}_timed_out"] = ~df2[status_col].str.lower().str.contains("optimal", na=False) + +# Aggregate per size: mean time +agg_cols = {col: "mean" for col in df2.columns + if col not in ("scheme", "size", "seed") + and pd.api.types.is_numeric_dtype(df2[col])} +ours = df2.groupby("size", as_index=False).agg(agg_cols) + +# Add "any timed out" flag per size for each method +for method in ("oa", "bna", "exact"): + timed_col = f"{method}_timed_out" + if timed_col in df2.columns: + timeout_by_size = df2.groupby("size")[timed_col].any() + ours[f"{method}_any_timeout"] = ours["size"].map(timeout_by_size) + +def split_optimal_timeout(ours_df, method): + time_col = f"{method}_time_s" + to_col = f"{method}_any_timeout" + if to_col not in ours_df.columns: + return ours_df, pd.DataFrame() + opt = ours_df[~ours_df[to_col].fillna(False)] + tmo = ours_df[ours_df[to_col].fillna(False)] + return opt, tmo + +oa_opt, oa_tmo = split_optimal_timeout(ours, "oa") +bna_opt, bna_tmo = split_optimal_timeout(ours, "bna") + +# -------------------------------------------------------------------------- +# 2. Bertsimas BPC Table 1 — N×N square instances (Andersen benchmark) +# -------------------------------------------------------------------------- bpc_data = pd.DataFrame({ "size": [200, 250, 300, 350, 400, 450], "bpc_time": [0.058, 0.082, 0.124, 0.167, 0.232, 0.290], }) -# BnA in paper uses BA = Branch-and-Adjust; for Andersen instances: -# BA 200: 419.9 s, 250: 541.1 s, 300: 1859.5 s, 350: 2414.4 s, 400: 1844.9 s +# Branch-and-Adjust (Andersen 2022) on same instances ba_andersen = pd.DataFrame({ "size": [200, 250, 300, 350, 400], "ba_time": [419.9, 541.1, 1859.5, 2414.4, 1844.9], }) +# -------------------------------------------------------------------------- +# 3. Export CSV +# -------------------------------------------------------------------------- export = pd.merge(bpc_data, ba_andersen, on="size", how="outer") -print("BPC (Bertsimas) vs BA (Andersen) — large instances:") -print(export.to_string(index=False)) -print() -print("Our methods — small instances (Scheme 2, mean over 3 seeds):") -print(ours.to_string(index=False)) - combined = pd.concat( - [ - ours.rename(columns={"size": "n"}), - export.assign( - oa_time=np.nan, - bna_time=np.nan, - exact_time=np.nan, - ).rename(columns={"size": "n"}), - ], + [ours[["size", "oa_time_s", "bna_time_s", "exact_time_s"]].rename(columns={"size": "n"}), + export.assign(oa_time_s=np.nan, bna_time_s=np.nan, exact_time_s=np.nan).rename(columns={"size": "n"})], ignore_index=True, ) combined.to_csv(RESULTS_DIR / "comparison_bpc_vs_oa.csv", index=False) -print(f"\nSaved → {RESULTS_DIR / 'comparison_bpc_vs_oa.csv'}") - -fig, ax = plt.subplots(figsize=(10, 6)) - -# Our methods (N = 5–30, left cluster) -ax.plot( - ours["size"], ours["oa_time"], - "o-", color="tab:purple", linewidth=2, markersize=7, - label="Our OA — Outer Approximation (N=5–30)", -) -ax.plot( - ours["size"], ours["bna_time"], - "s--", color="tab:orange", linewidth=2, markersize=7, - label="Our BnA — Branch & Adjust (N=5–30)", -) -ax.plot( - ours["size"], ours["exact_time"], - "^:", color="tab:blue", linewidth=1.5, markersize=6, - label="Our Exact MIP — PuLP/CBC (N=5–30)", -) - -# BPC from Bertsimas 2025 (N = 200–450) -ax.plot( - bpc_data["size"], bpc_data["bpc_time"], - "D-", color="tab:green", linewidth=2.5, markersize=9, - label="BPC — Bertsimas & Paskov (2025), N=200–450", -) - -# BA from Andersen 2022 (N = 200–400, timeout = 7200 s marked separately) -ba_no_timeout = ba_andersen[ba_andersen["ba_time"] < 7200] -ax.plot( - ba_no_timeout["size"], ba_no_timeout["ba_time"], - "x--", color="tab:red", linewidth=1.5, markersize=9, markeredgewidth=2, - label="Branch-and-Adjust (Andersen 2022) — before timeout", -) - -# Annotate BPC points with exact times +print(f"Saved → {RESULTS_DIR / 'comparison_bpc_vs_oa.csv'}") +print("\nOur methods (Scheme 2, mean over seeds):") +print(ours[["size", "oa_time_s", "bna_time_s", "exact_time_s"]].to_string(index=False)) + +# -------------------------------------------------------------------------- +# 4. Plot +# -------------------------------------------------------------------------- +fig, ax = plt.subplots(figsize=(11, 6.5)) + +# — OA: optimal (solid) and timeout (open marker) +if not oa_opt.empty: + ax.plot(oa_opt["size"], oa_opt["oa_time_s"], + "o-", color="tab:purple", linewidth=2, markersize=7, + label="Our OA — optimal") +if not oa_tmo.empty: + ax.plot(oa_tmo["size"], oa_tmo["oa_time_s"], + "o--", color="tab:purple", linewidth=1.5, markersize=7, + markerfacecolor="none", markeredgewidth=2, + label="Our OA — time limit reached") + +# — BnA: optimal (solid) and timeout (open marker) +if not bna_opt.empty: + ax.plot(bna_opt["size"], bna_opt["bna_time_s"], + "s-", color="tab:orange", linewidth=2, markersize=7, + label="Our BnA — optimal") +if not bna_tmo.empty: + ax.plot(bna_tmo["size"], bna_tmo["bna_time_s"], + "s--", color="tab:orange", linewidth=1.5, markersize=7, + markerfacecolor="none", markeredgewidth=2, + label="Our BnA — time limit reached") + +# — BPC (Bertsimas 2025) +ax.plot(bpc_data["size"], bpc_data["bpc_time"], + "D-", color="tab:green", linewidth=2.5, markersize=9, + label="BPC — Bertsimas & Paskov (2025)") + +# — BA Andersen 2022 +ax.plot(ba_andersen["size"], ba_andersen["ba_time"], + "x--", color="tab:red", linewidth=1.5, markersize=9, markeredgewidth=2, + label="Branch-and-Adjust (Andersen 2022)") + +# Annotate BPC points for _, row in bpc_data.iterrows(): - ax.annotate( - f"{row['bpc_time']:.3f}s", - xy=(row["size"], row["bpc_time"]), - xytext=(12, -14), - textcoords="offset points", - color="tab:green", - fontsize=8, - ) - -# Timeout annotation for BA -ax.axhline(y=7200, color="tab:red", linestyle=":", alpha=0.4, linewidth=1) -ax.text(210, 7200 * 1.05, "BA timeout (2 h)", color="tab:red", fontsize=8, alpha=0.7) + ax.annotate(f"{row['bpc_time']:.3f}s", + xy=(row["size"], row["bpc_time"]), + xytext=(10, -14), textcoords="offset points", + color="tab:green", fontsize=8) + +# Time limit reference line (if any timeouts in our data) +if "oa_any_timeout" in ours.columns and ours["oa_any_timeout"].any(): + tl = df2["oa_time_s"].max() + ax.axhline(y=tl, color="gray", linestyle=":", alpha=0.5, linewidth=1) + ax.text(ours["size"].min() + 1, tl * 1.05, f"our time limit ≈ {tl:.0f}s", + color="gray", fontsize=8, alpha=0.8) ax.set_yscale("log") ax.set_xlabel("Problem size N (weapons = targets)", fontsize=12) ax.set_ylabel("Solve time (seconds, log scale)", fontsize=12) + +n_our = f"{ours['size'].min()}–{ours['size'].max()}" ax.set_title( - "Solve Time Comparison: Outer Approximation / BnA / BPC\n" - "Our methods (N=5–30) vs Bertsimas & Paskov (2025) BPC (N=200–450)", + f"Solve Time: Our Methods (N={n_our}) vs Bertsimas & Paskov (2025) BPC (N=200–450)\n" + "Open markers = time limit reached (solution may not be optimal)", fontsize=11, ) ax.legend(fontsize=9, loc="upper left") ax.grid(True, which="both", alpha=0.3) ax.yaxis.set_minor_formatter(mticker.NullFormatter()) -# Second x-axis note -ax.text( - 0.98, 0.05, - "Note: BPC uses Gurobi LP solver internally.\nOur methods use SCIP / PuLP/CBC (open-source).", - transform=ax.transAxes, - ha="right", va="bottom", - fontsize=8, color="gray", - bbox=dict(boxstyle="round,pad=0.3", fc="white", alpha=0.7), -) +ax.text(0.98, 0.04, + "Note: BPC uses Gurobi LP internally.\nOur methods use open-source SCIP / PuLP/CBC.", + transform=ax.transAxes, ha="right", va="bottom", fontsize=8, color="gray", + bbox=dict(boxstyle="round,pad=0.3", fc="white", alpha=0.7)) fig.tight_layout() out_path = RESULTS_DIR / "comparison_bpc_vs_oa.png" diff --git a/results/benchmark_bertsimas.csv b/results/benchmark_bertsimas.csv index 0d9c988..dfb1152 100644 --- a/results/benchmark_bertsimas.csv +++ b/results/benchmark_bertsimas.csv @@ -1,37 +1,43 @@ scheme,size,seed,greedy_time_s,greedy_obj,greedy_status,optimality_gap_pct_greedy,ls_time_s,ls_obj,ls_status,optimality_gap_pct_ls,sa_time_s,sa_obj,sa_status,optimality_gap_pct_sa,exact_time_s,exact_obj,exact_status,bna_time_s,bna_obj,bna_status,optimality_gap_pct_bna,oa_time_s,oa_obj,oa_status,optimality_gap_pct_oa -scheme1,5,42,2.3600005079060793e-05,51.0046435572053,heuristic,34.22576041757257,0.00017449998995289207,37.9991466604706,heuristic,0.0,0.16946460003964603,37.9991466604706,heuristic,0.0,1.1933268000138924,37.9991466604706,Optimal,0.556907800026238,37.9991466604706,optimal,0.0,0.4769726999802515,37.9991466604706,optimal,0.0 -scheme1,5,43,1.4699995517730713e-05,39.1512830793721,heuristic,33.34500207423731,0.00015850004274398088,29.36089277465035,heuristic,0.0,0.29294980003032833,29.36089277465035,heuristic,0.0,0.41611499997088686,29.36089277465035,Optimal,0.42542059998959303,29.36089277465035,optimal,0.0,0.3782425000099465,29.36089277465035,optimal,0.0 -scheme1,5,44,1.6600009985268116e-05,75.08396516446176,heuristic,0.0,0.0001317000132985413,61.27504252534724,heuristic,0.0,0.14897550002206117,39.96274698982926,heuristic,0.0,0.2945709000341594,102.65653542033199,Optimal,0.20866890001343563,39.96274698982926,optimal,0.0,0.16651760000968352,39.96274698982926,optimal,0.0 -scheme1,10,42,3.1800009310245514e-05,64.6188439994443,heuristic,131.15276442356767,0.010871100006625056,33.101227009965974,heuristic,18.408805475249615,0.18059559998800978,27.95503837498382,heuristic,0.0,0.8705226999591105,27.955038374983822,Optimal,2.9519905000342987,27.955038374983822,optimal,0.0,4.162135899998248,27.955038374983822,optimal,0.0 -scheme1,10,43,2.7100031729787588e-05,48.4953849359648,heuristic,110.38258463786525,0.01008229999570176,23.051045322710838,heuristic,1.541237557370217e-14,0.1792701999656856,23.051045322710838,heuristic,1.541237557370217e-14,0.70867179997731,23.051045322710834,Optimal,15.489362000022084,23.051045322710834,optimal,0.0,18.68654120003339,23.051045322710834,optimal,0.0 -scheme1,10,44,4.1000021155923605e-05,50.50175946482585,heuristic,65.91180730376855,0.013541999971494079,31.606981541331052,heuristic,3.83740064722852,0.16786600003251806,31.9517009860183,heuristic,4.969896359989718,0.46092729998053983,30.438918293718537,Optimal,12.94545980001567,30.438918293718537,optimal,0.0,9.538537600019481,30.438918293718537,optimal,0.0 -scheme1,15,42,4.1199964471161366e-05,59.099914195378076,heuristic,244.37412165821303,0.012022499984595925,28.113234390495606,heuristic,63.81530382924878,0.09683160000713542,20.23785396479662,heuristic,17.9256057857198,0.46713220002129674,17.161543356046362,Optimal,5.72197839996079,17.161543356046362,optimal,0.0,46.88161839998793,17.161543356046362,optimal,0.0 -scheme1,15,43,4.640000406652689e-05,133.47718574698317,heuristic,70.65660959299528,0.01332870003534481,86.4764907453809,heuristic,10.564098557496678,0.12883870000950992,84.83685274038068,heuristic,8.46774732468321,1.052337399974931,78.2138975251632,Optimal,19.111011400003918,78.2138975251632,optimal,0.0,17.688193099980708,78.2138975251632,optimal,0.0 -scheme1,15,44,2.6999972760677338e-05,89.07235184094476,heuristic,110.20907187100171,0.01056819997029379,43.01628495992333,heuristic,1.5176219093319046,0.02693569997791201,43.65126411204754,heuristic,3.016160742839031,0.7417898999992758,42.37321969415549,Optimal,1.9724300000234507,42.056415231060626,optimal,0.0,13.159315900004003,42.056415231060626,optimal,0.0 -scheme1,20,42,4.210002953186631e-05,94.5832589263517,heuristic,195.69710345061807,0.036430399981327355,31.856929384593894,heuristic,0.0,0.032096899987664074,38.36450188311856,heuristic,19.9395348705132,0.4223836999735795,31.98653548601543,Optimal,4.3525594000238925,31.98653548601543,optimal,0.0,9.373311700008344,31.8569293845939,optimal,0.0 -scheme1,20,43,5.859998054802418e-05,140.67727456704515,heuristic,95.42293256836543,0.018611000035889447,84.89053403641651,heuristic,17.92634709300375,0.033105900045484304,93.66913732532315,heuristic,30.121212282511138,0.5560996999847703,71.98606259673826,Optimal,2.344802499981597,71.98606259673826,optimal,0.0,16.767362100013997,71.98606259673826,optimal,0.0 -scheme1,20,44,5.420000525191426e-05,136.7604581948346,heuristic,153.40305433355667,0.01742789999116212,74.5557777556848,heuristic,38.14418327400676,0.02857150003546849,61.306269292367084,heuristic,13.59420766453758,0.4001717999926768,53.969538194601085,Optimal,6.904461199999787,53.969538194601085,optimal,0.0,13.628750199975912,53.969538194601085,optimal,0.0 -scheme1,25,42,7.130001904442906e-05,103.2278242771931,heuristic,177.25105708343762,0.04225950001273304,41.06164970227227,heuristic,10.284081498945703,0.03512310003861785,46.862551422587224,heuristic,25.8642426159304,1.026302799989935,37.2326170233959,Optimal,4.270409799995832,37.2326170233959,optimal,0.0,13.93937300000107,37.0132016050052,optimal,0.0 -scheme1,25,43,6.999995093792677e-05,173.40394317314724,heuristic,202.10243156454126,0.07156890002079308,78.7136674081498,heuristic,37.13408061095965,0.02558880002470687,90.33234280941608,heuristic,57.376008366759464,0.5983229000121355,57.399055768970584,Optimal,1.480082600028254,57.399055768970584,optimal,0.0,24.203632100019604,57.399055768970584,optimal,0.0 -scheme1,25,44,8.670001989230514e-05,120.85428140045174,heuristic,213.31203330344874,0.15824149997206405,41.16169198556789,heuristic,6.71076986901303,0.07409219996770844,43.82671587239982,heuristic,13.61978494990076,1.8497924000257626,38.5731374968934,Optimal,9.284577300015371,38.5731374968934,optimal,0.0,59.476386399997864,38.5731374968934,optimal,0.0 -scheme1,30,42,0.00012319994857534766,124.53104586485334,heuristic,225.44982798770909,0.31013529998017475,46.431333901387724,heuristic,21.343794445007138,0.08250970003427938,48.437190835644685,heuristic,26.585907282719397,48.21845049998956,38.26428381752175,Optimal,12.428648600005545,38.26428381752175,optimal,0.0,39.92580409999937,36.84486040551609,optimal,0.0 -scheme1,30,43,0.0001230000052601099,167.33122318879978,heuristic,180.08437540651886,0.2829731000238098,85.61069976606727,heuristic,43.29793875372168,0.1479882999556139,72.1687465270012,heuristic,20.79836571851152,5.872482199978549,59.74314809454565,Optimal,23.178512900019996,59.74314809454565,optimal,0.0,46.89630419999594,59.455355443980054,optimal,0.0 -scheme1,30,44,0.00012240000069141388,157.0107812741449,heuristic,190.5139921592434,0.20073559996671975,66.99210765021502,heuristic,23.95419269103785,0.08280200004810467,65.76246209614345,heuristic,21.679003459092915,4.0633670000243,54.04585855130876,Optimal,19.266978100000415,54.04585855130876,optimal,0.0,40.91751689999364,54.04585855130876,optimal,0.0 -scheme2,5,42,1.4099990949034691e-05,65.7596630853457,heuristic,41.815907295209406,0.00021239998750388622,47.82240029218049,heuristic,3.1327833548709725,0.043399900023359805,46.3697368930961,heuristic,0.0,0.1210663000238128,46.36973689309611,Optimal,0.3342236999887973,46.36973689309611,optimal,0.0,0.22326180001255125,46.36973689309611,optimal,0.0 -scheme2,5,43,1.4899997040629387e-05,70.23689909780633,heuristic,12.114664472950409,0.0001965999836102128,40.92396696342341,heuristic,0.0,0.04203609999967739,40.92396696342341,heuristic,0.0,0.06582350004464388,62.647379295107456,Optimal,0.13995829998748377,40.92396696342341,optimal,0.0,0.03592560003744438,40.92396696342341,optimal,0.0 -scheme2,5,44,1.4599994756281376e-05,83.75781912945754,heuristic,77.22852406146656,0.00015959999291226268,61.64903036679592,heuristic,30.447124522671825,0.04641449998598546,47.259784830351904,heuristic,0.0,0.11666699999477714,47.259784830351904,Optimal,0.04046670004026964,47.259784830351904,optimal,0.0,0.044069800002034754,47.259784830351904,optimal,0.0 -scheme2,10,42,2.7699978090822697e-05,112.01250217133682,heuristic,44.48614234781168,0.003785100008826703,77.12198224785048,heuristic,0.0,0.057581800036132336,78.7962849775883,heuristic,1.6401832568283516,0.797014300012961,77.52473721784109,Optimal,1.3694547999766655,77.12198224785048,optimal,0.0,2.34647639998002,77.12198224785048,optimal,0.0 -scheme2,10,43,2.5100016500800848e-05,100.82540974325559,heuristic,44.67066123499264,0.002356700017116964,73.29346554012379,heuristic,5.166090084777849,0.04498419997980818,69.69305931316788,heuristic,0.0,0.2614445999497548,69.69305931316788,Optimal,1.254606100032106,69.69305931316788,optimal,0.0,1.6306867999956012,69.69305931316788,optimal,0.0 -scheme2,10,44,2.4200009647756815e-05,111.66130245947157,heuristic,64.78088572293686,0.0029776999726891518,68.25490965373398,heuristic,0.7251771200103204,0.049861199979204684,72.04490984090786,heuristic,6.318158519804438,0.26556720002554357,67.76350422537433,Optimal,1.084376999991946,67.76350422537433,optimal,0.0,1.1087897999677807,67.76350422537433,optimal,0.0 -scheme2,15,42,3.920000744983554e-05,160.5599347613303,heuristic,75.14203337204648,0.017920799960847944,104.0169971547997,heuristic,13.463850206630786,0.062065000005532056,91.98000620312064,heuristic,0.333656337956296,0.4091539999935776,91.67412965924629,Optimal,1.6420138999819756,91.67412965924629,optimal,0.0,3.9991051999968477,91.67412965924629,optimal,0.0 -scheme2,15,43,3.960001049563289e-05,178.3533842770249,heuristic,42.27420597312771,0.019975600007455796,131.3411348159479,heuristic,4.7720834863667605,0.058326900005340576,130.91587742909513,heuristic,4.432851588447131,0.40178780001588166,125.3589032932025,Optimal,1.1183775999816135,125.3589032932025,optimal,0.0,16.85546869999962,125.3589032932025,optimal,0.0 -scheme2,15,44,3.950000973418355e-05,168.9805245211594,heuristic,60.3954710821033,0.02442289999453351,112.93801955986235,heuristic,7.200204885833621,0.052926600037608296,107.16853179628966,heuristic,1.7238358760735828,0.4127295999787748,105.35242883177267,Optimal,1.0745919999899343,105.35242883177267,optimal,0.0,2.589190700033214,105.35242883177267,optimal,0.0 -scheme2,20,42,5.859998054802418e-05,189.7615821093234,heuristic,46.55938156206349,0.05049440002767369,140.05218759262206,heuristic,8.16711039099366,0.06739389995345846,136.97679711781166,heuristic,5.791880794781685,41.20747530000517,129.477608384261,Optimal,6.677999800012913,129.3084653553524,optimal,0.0,2.665965699998196,128.69659402515225,optimal,0.0 -scheme2,20,43,6.569997640326619e-05,229.89044800747934,heuristic,46.0510553371223,0.040010100055951625,162.52500117592356,heuristic,3.2533023713904514,0.044533299980685115,166.15816542373176,heuristic,5.561477753206339,7.727126499987207,157.40416765687505,Optimal,1.5946521000005305,157.40416765687505,optimal,0.0,3.3517117999726906,156.85250293599762,optimal,0.0 -scheme2,20,44,3.260001540184021e-05,221.07216376305198,heuristic,59.06804169629499,0.030269999988377094,161.0551389964477,heuristic,15.883995204154305,0.029326499963644892,156.2962244818457,heuristic,12.459813708155709,5.53884900000412,138.9796224342411,Optimal,4.087547600036487,138.9796224342411,optimal,0.0,1.6566215999773704,138.9796224342411,optimal,0.0 -scheme2,25,42,7.049995474517345e-05,227.5945734735277,heuristic,38.01363012534825,0.05746529996395111,172.96773888294277,heuristic,4.887850239473758,0.03849540004739538,169.16987650711482,heuristic,2.5848218095562014,3.994293799973093,164.90731623160644,Optimal,0.6353437000070699,164.90731623160644,optimal,0.0,4.889424099994358,164.90731623160644,optimal,0.0 -scheme2,25,43,6.880000000819564e-05,256.69675773771036,heuristic,39.04406994027187,0.07274090003920719,192.91791617306717,heuristic,4.497199206964624,0.03799979999894276,202.1575441009136,heuristic,9.50199740988652,8.27369300002465,184.61539413221843,Optimal,1.156199499964714,184.61539413221843,optimal,0.0,7.049450400052592,184.61539413221843,optimal,0.0 -scheme2,25,44,9.510002564638853e-05,258.4279996954226,heuristic,63.428306161965374,0.6509671999956481,163.7975084467189,heuristic,3.584555042592126,0.3460029999841936,163.75401892496103,heuristic,3.557052531699118,2.2317752999952063,158.12927745779115,Optimal,6.955458700016607,158.12927745779115,optimal,0.0,13.54622889996972,158.12927745779115,optimal,0.0 -scheme2,30,42,0.00013770000077784061,295.4162924517665,heuristic,53.230346726413615,1.0820895999786444,209.74406561376063,heuristic,8.79276708494893,0.28344440000364557,203.14511445436773,heuristic,5.369937674314653,3.1522777000209317,192.7922887097684,Optimal,20.27730730001349,192.7922887097684,optimal,0.0,44.40142889996059,192.7922887097684,optimal,0.0 -scheme2,30,43,9.50000248849392e-05,313.87158405191497,heuristic,47.30381209428662,0.1682526000076905,224.40833742202287,heuristic,5.317605185110877,0.03494660003343597,228.97541312844453,heuristic,7.460990237667415,3.0205564000061713,213.07770626534173,Optimal,0.7423061999725178,213.07770626534173,optimal,0.0,45.64516499999445,212.18035816086578,optimal,0.0 -scheme2,30,44,9.950000094249845e-05,332.99537675004683,heuristic,67.88695471444115,0.14986260002478957,210.26327272208735,heuristic,6.008860814006189,0.035292399988975376,211.37039250664367,heuristic,6.567039642034745,60.11354120000033,198.34499786861852,Optimal,0.7677733000018634,197.12338245024748,optimal,0.0,3.255074299988337,197.12338245024748,optimal,0.0 +scheme1,5,42,2.3600005079060796e-05,51.0046435572053,heuristic,34.22576041757257,0.0001744999899528,37.9991466604706,heuristic,0.0,0.169464600039646,37.9991466604706,heuristic,0.0,1.1933268000138924,37.9991466604706,Optimal,0.556907800026238,37.9991466604706,optimal,0.0,0.4769726999802515,37.9991466604706,optimal,0.0 +scheme1,5,43,1.4699995517730711e-05,39.1512830793721,heuristic,33.34500207423731,0.0001585000427439,29.36089277465035,heuristic,0.0,0.2929498000303283,29.36089277465035,heuristic,0.0,0.4161149999708868,29.36089277465035,Optimal,0.425420599989593,29.36089277465035,optimal,0.0,0.3782425000099465,29.36089277465035,optimal,0.0 +scheme1,5,44,1.6600009985268116e-05,75.08396516446176,heuristic,0.0,0.0001317000132985,61.27504252534724,heuristic,0.0,0.1489755000220611,39.96274698982926,heuristic,0.0,0.2945709000341594,102.656535420332,Optimal,0.2086689000134356,39.96274698982926,optimal,0.0,0.1665176000096835,39.96274698982926,optimal,0.0 +scheme1,10,42,3.1800009310245514e-05,64.6188439994443,heuristic,131.15276442356767,0.010871100006625,33.101227009965974,heuristic,18.40880547524961,0.1805955999880097,27.95503837498382,heuristic,0.0,0.8705226999591105,27.955038374983825,Optimal,2.9519905000342987,27.955038374983825,optimal,0.0,4.162135899998248,27.955038374983825,optimal,0.0 +scheme1,10,43,2.7100031729787588e-05,48.4953849359648,heuristic,110.38258463786524,0.0100822999957017,23.05104532271084,heuristic,1.5412375573702172e-14,0.1792701999656856,23.05104532271084,heuristic,1.5412375573702172e-14,0.70867179997731,23.051045322710834,Optimal,15.489362000022084,23.051045322710834,optimal,0.0,18.68654120003339,23.051045322710834,optimal,0.0 +scheme1,10,44,4.1000021155923605e-05,50.50175946482585,heuristic,65.91180730376855,0.013541999971494,31.60698154133105,heuristic,3.83740064722852,0.167866000032518,31.9517009860183,heuristic,4.969896359989718,0.4609272999805398,30.438918293718537,Optimal,12.94545980001567,30.438918293718537,optimal,0.0,9.53853760001948,30.438918293718537,optimal,0.0 +scheme1,15,42,4.1199964471161366e-05,59.09991419537808,heuristic,244.37412165821303,0.0120224999845959,28.11323439049561,heuristic,63.81530382924878,0.0968316000071354,20.23785396479662,heuristic,17.9256057857198,0.4671322000212967,17.161543356046362,Optimal,5.72197839996079,17.161543356046362,optimal,0.0,46.88161839998793,17.161543356046362,optimal,0.0 +scheme1,15,43,4.640000406652689e-05,133.47718574698317,heuristic,70.65660959299528,0.0133287000353448,86.4764907453809,heuristic,10.564098557496678,0.1288387000095099,84.83685274038068,heuristic,8.46774732468321,1.052337399974931,78.2138975251632,Optimal,19.11101140000392,78.2138975251632,optimal,0.0,17.688193099980708,78.2138975251632,optimal,0.0 +scheme1,15,44,2.6999972760677338e-05,89.07235184094476,heuristic,110.20907187100173,0.0105681999702937,43.01628495992333,heuristic,1.5176219093319046,0.026935699977912,43.65126411204754,heuristic,3.016160742839031,0.7417898999992758,42.37321969415549,Optimal,1.9724300000234507,42.05641523106063,optimal,0.0,13.159315900004003,42.05641523106063,optimal,0.0 +scheme1,20,42,4.210002953186631e-05,94.5832589263517,heuristic,195.69710345061807,0.0364303999813273,31.856929384593894,heuristic,0.0,0.032096899987664,38.36450188311856,heuristic,19.9395348705132,0.4223836999735795,31.98653548601543,Optimal,4.3525594000238925,31.98653548601543,optimal,0.0,9.373311700008344,31.8569293845939,optimal,0.0 +scheme1,20,43,5.859998054802418e-05,140.67727456704517,heuristic,95.42293256836544,0.0186110000358894,84.89053403641651,heuristic,17.92634709300375,0.0331059000454843,93.66913732532316,heuristic,30.121212282511134,0.5560996999847703,71.98606259673826,Optimal,2.344802499981597,71.98606259673826,optimal,0.0,16.767362100013997,71.98606259673826,optimal,0.0 +scheme1,20,44,5.420000525191426e-05,136.7604581948346,heuristic,153.40305433355667,0.0174278999911621,74.5557777556848,heuristic,38.14418327400676,0.0285715000354684,61.30626929236709,heuristic,13.59420766453758,0.4001717999926768,53.969538194601085,Optimal,6.904461199999787,53.969538194601085,optimal,0.0,13.628750199975912,53.969538194601085,optimal,0.0 +scheme1,25,42,7.130001904442906e-05,103.2278242771931,heuristic,177.25105708343762,0.042259500012733,41.06164970227227,heuristic,10.284081498945705,0.0351231000386178,46.86255142258722,heuristic,25.8642426159304,1.026302799989935,37.2326170233959,Optimal,4.270409799995832,37.2326170233959,optimal,0.0,13.93937300000107,37.0132016050052,optimal,0.0 +scheme1,25,43,6.999995093792677e-05,173.40394317314724,heuristic,202.1024315645413,0.071568900020793,78.7136674081498,heuristic,37.13408061095965,0.0255888000247068,90.33234280941608,heuristic,57.37600836675946,0.5983229000121355,57.39905576897058,Optimal,1.480082600028254,57.39905576897058,optimal,0.0,24.203632100019604,57.39905576897058,optimal,0.0 +scheme1,25,44,8.670001989230514e-05,120.85428140045174,heuristic,213.31203330344877,0.158241499972064,41.16169198556789,heuristic,6.71076986901303,0.0740921999677084,43.82671587239982,heuristic,13.61978494990076,1.8497924000257624,38.5731374968934,Optimal,9.284577300015371,38.5731374968934,optimal,0.0,59.47638639999786,38.5731374968934,optimal,0.0 +scheme1,30,42,0.0001231999485753,124.53104586485334,heuristic,225.44982798770909,0.3101352999801747,46.43133390138773,heuristic,21.343794445007138,0.0825097000342793,48.437190835644685,heuristic,26.5859072827194,48.21845049998956,38.26428381752175,Optimal,12.428648600005545,38.26428381752175,optimal,0.0,39.92580409999937,36.84486040551609,optimal,0.0 +scheme1,30,43,0.0001230000052601,167.33122318879978,heuristic,180.08437540651886,0.2829731000238098,85.61069976606727,heuristic,43.29793875372168,0.1479882999556139,72.1687465270012,heuristic,20.79836571851152,5.872482199978549,59.74314809454565,Optimal,23.17851290002,59.74314809454565,optimal,0.0,46.89630419999594,59.45535544398005,optimal,0.0 +scheme1,30,44,0.0001224000006914,157.0107812741449,heuristic,190.5139921592434,0.2007355999667197,66.99210765021502,heuristic,23.95419269103785,0.0828020000481046,65.76246209614345,heuristic,21.679003459092915,4.0633670000243,54.04585855130876,Optimal,19.26697810000041,54.04585855130876,optimal,0.0,40.91751689999364,54.04585855130876,optimal,0.0 +scheme2,5,42,1.4099990949034693e-05,65.7596630853457,heuristic,41.815907295209406,0.0002123999875038,47.82240029218049,heuristic,3.1327833548709725,0.0433999000233598,46.3697368930961,heuristic,0.0,0.1210663000238128,46.36973689309611,Optimal,0.3342236999887973,46.36973689309611,optimal,0.0,0.2232618000125512,46.36973689309611,optimal,0.0 +scheme2,5,43,1.4899997040629389e-05,70.23689909780633,heuristic,12.114664472950407,0.0001965999836102,40.92396696342341,heuristic,0.0,0.0420360999996773,40.92396696342341,heuristic,0.0,0.0658235000446438,62.647379295107456,Optimal,0.1399582999874837,40.92396696342341,optimal,0.0,0.0359256000374443,40.92396696342341,optimal,0.0 +scheme2,5,44,1.4599994756281376e-05,83.75781912945754,heuristic,77.22852406146656,0.0001595999929122,61.64903036679592,heuristic,30.447124522671825,0.0464144999859854,47.259784830351904,heuristic,0.0,0.1166669999947771,47.259784830351904,Optimal,0.0404667000402696,47.259784830351904,optimal,0.0,0.0440698000020347,47.259784830351904,optimal,0.0 +scheme2,10,42,2.7699978090822697e-05,112.01250217133682,heuristic,44.48614234781168,0.0037851000088267,77.12198224785048,heuristic,0.0,0.0575818000361323,78.7962849775883,heuristic,1.6401832568283516,0.797014300012961,77.52473721784109,Optimal,1.3694547999766655,77.12198224785048,optimal,0.0,2.34647639998002,77.12198224785048,optimal,0.0 +scheme2,10,43,2.5100016500800848e-05,100.8254097432556,heuristic,44.67066123499264,0.0023567000171169,73.29346554012379,heuristic,5.166090084777849,0.0449841999798081,69.69305931316788,heuristic,0.0,0.2614445999497548,69.69305931316788,Optimal,1.254606100032106,69.69305931316788,optimal,0.0,1.6306867999956012,69.69305931316788,optimal,0.0 +scheme2,10,44,2.420000964775681e-05,111.66130245947156,heuristic,64.78088572293686,0.0029776999726891,68.25490965373398,heuristic,0.7251771200103204,0.0498611999792046,72.04490984090786,heuristic,6.318158519804438,0.2655672000255435,67.76350422537433,Optimal,1.084376999991946,67.76350422537433,optimal,0.0,1.1087897999677807,67.76350422537433,optimal,0.0 +scheme2,15,42,3.920000744983554e-05,160.5599347613303,heuristic,75.14203337204648,0.0179207999608479,104.0169971547997,heuristic,13.463850206630786,0.062065000005532,91.98000620312064,heuristic,0.333656337956296,0.4091539999935776,91.67412965924628,Optimal,1.6420138999819756,91.67412965924628,optimal,0.0,3.999105199996848,91.67412965924628,optimal,0.0 +scheme2,15,43,3.960001049563289e-05,178.3533842770249,heuristic,42.27420597312771,0.0199756000074557,131.3411348159479,heuristic,4.7720834863667605,0.0583269000053405,130.91587742909513,heuristic,4.432851588447131,0.4017878000158816,125.3589032932025,Optimal,1.1183775999816137,125.3589032932025,optimal,0.0,16.85546869999962,125.3589032932025,optimal,0.0 +scheme2,15,44,3.950000973418355e-05,168.9805245211594,heuristic,60.3954710821033,0.0244228999945335,112.93801955986235,heuristic,7.200204885833621,0.0529266000376082,107.16853179628966,heuristic,1.7238358760735828,0.4127295999787748,105.35242883177268,Optimal,1.0745919999899345,105.35242883177268,optimal,0.0,2.589190700033214,105.35242883177268,optimal,0.0 +scheme2,20,42,5.859998054802418e-05,189.7615821093234,heuristic,46.55938156206349,0.0504944000276736,140.05218759262206,heuristic,8.16711039099366,0.0673938999534584,136.97679711781166,heuristic,5.791880794781685,41.20747530000517,129.477608384261,Optimal,6.677999800012913,129.3084653553524,optimal,0.0,2.665965699998196,128.69659402515225,optimal,0.0 +scheme2,20,43,6.569997640326619e-05,229.8904480074793,heuristic,46.0510553371223,0.0400101000559516,162.52500117592356,heuristic,3.2533023713904514,0.0445332999806851,166.15816542373176,heuristic,5.561477753206339,7.727126499987207,157.40416765687505,Optimal,1.5946521000005305,157.40416765687505,optimal,0.0,3.35171179997269,156.85250293599762,optimal,0.0 +scheme2,20,44,3.260001540184021e-05,221.072163763052,heuristic,59.06804169629499,0.030269999988377,161.0551389964477,heuristic,15.883995204154305,0.0293264999636448,156.2962244818457,heuristic,12.459813708155709,5.53884900000412,138.9796224342411,Optimal,4.087547600036487,138.9796224342411,optimal,0.0,1.6566215999773704,138.9796224342411,optimal,0.0 +scheme2,25,42,7.049995474517345e-05,227.5945734735277,heuristic,38.01363012534825,0.0574652999639511,172.96773888294277,heuristic,4.887850239473758,0.0384954000473953,169.16987650711482,heuristic,2.584821809556201,3.994293799973093,164.90731623160644,Optimal,0.6353437000070699,164.90731623160644,optimal,0.0,4.889424099994358,164.90731623160644,optimal,0.0 +scheme2,25,43,6.880000000819564e-05,256.6967577377104,heuristic,39.04406994027187,0.0727409000392071,192.9179161730672,heuristic,4.497199206964624,0.0379997999989427,202.1575441009136,heuristic,9.50199740988652,8.27369300002465,184.61539413221843,Optimal,1.156199499964714,184.61539413221843,optimal,0.0,7.049450400052592,184.61539413221843,optimal,0.0 +scheme2,25,44,9.510002564638852e-05,258.4279996954226,heuristic,63.428306161965374,0.6509671999956481,163.7975084467189,heuristic,3.584555042592126,0.3460029999841936,163.75401892496103,heuristic,3.557052531699118,2.2317752999952063,158.12927745779115,Optimal,6.955458700016607,158.12927745779115,optimal,0.0,13.54622889996972,158.12927745779115,optimal,0.0 +scheme2,30,42,0.0001377000007778,295.4162924517665,heuristic,53.230346726413615,1.0820895999786444,209.74406561376065,heuristic,8.79276708494893,0.2834444000036455,203.14511445436773,heuristic,5.369937674314653,3.152277700020932,192.7922887097684,Optimal,20.27730730001349,192.7922887097684,optimal,0.0,44.40142889996059,192.7922887097684,optimal,0.0 +scheme2,30,43,9.50000248849392e-05,313.87158405191497,heuristic,47.30381209428662,0.1682526000076905,224.40833742202287,heuristic,5.317605185110877,0.0349466000334359,228.97541312844453,heuristic,7.460990237667415,3.0205564000061718,213.07770626534173,Optimal,0.7423061999725178,213.07770626534173,optimal,0.0,45.64516499999445,212.18035816086575,optimal,0.0 +scheme2,30,44,9.950000094249845e-05,332.99537675004683,heuristic,67.88695471444115,0.1498626000247895,210.26327272208732,heuristic,6.008860814006189,0.0352923999889753,211.37039250664367,heuristic,6.567039642034745,60.11354120000033,198.3449978686185,Optimal,0.7677733000018634,197.12338245024748,optimal,0.0,3.255074299988337,197.12338245024748,optimal,0.0 +scheme1,50,42,0.00035119999665766954,220.45289094874738,heuristic,282.39130902235934,13.640622900042217,71.81564894835985,heuristic,24.56938029466827,0.1443678999785334,99.56252680450426,heuristic,72.69832475546606,3606.1628059999784,57.651124841819296,Optimal,50.56252889998723,54.74993152007395,optimal,0.0,238.84295849996852,53.956469393843356,optimal,0.0 +scheme1,50,43,0.00029360002372413874,234.5754502072204,heuristic,150.9477945995421,1.3938550999737345,129.9277581698544,heuristic,38.99614960212062,0.09224399999948218,139.54244356468178,heuristic,49.28189814685938,3601.4864187000203,93.47579666183223,Optimal,39.941480799985584,85.48234341275449,optimal,0.0,211.66548889997648,81.80989285791944,optimal,0.0 +scheme1,50,44,0.00032169994665309787,195.37523230921656,heuristic,258.62311472733586,2.0896258000284433,71.63690582531659,heuristic,31.493895069789474,0.0909321999642998,114.936613804382,heuristic,110.97314102487665,3602.2675219000084,54.47926368543254,Optimal,35.04242539999541,53.2590405257078,optimal,0.0,118.57808210002258,52.57626207471055,optimal,0.0 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znT&gz=FQz~pKV%~Ce7Qm>R$D|S9>9kxP_`_{1^+N{05EiG2abWC{dy9XprOK`F|5D zuAdi`gEe9RZaduh{dSk}xx$k^J;P@Uk{!fq?BUdwjT~l782|Mt1n|ze(k^g7iAq8Q zXrv&lKviG(cvqe#FZ=g`24!BdKs$S+R+7fXXa;d!+3F?ZH>pHRGBJoA%!Ki{xCA~V zOi=PaZ08<_!2KR^+dBeIIV7bX8y7rkNgqE~i&rh?9FJdPAIQ%Gv3`Z-TpRv435YT8 zb60FXd)$T$hSB{!upRxv>Hah(w%Lzo4z^Z)ToDA!bqGc=&`? ziO9~Q`QIjS;Ge=L`}gPnFqrfIxKs20yI&esg7cv1(AWHAFr0D>{>aHZx|4NF&+C5x D>nqVB From d3346f3182ee9638ada1511182ccd6f755df020b Mon Sep 17 00:00:00 2001 From: Anna Ostrowska Date: Mon, 18 May 2026 11:39:27 +0200 Subject: [PATCH 14/15] feat: add --bertsimas-schemes flag and same-data comparison support - run_bertsimas_benchmark: add schemes_to_run param to run only scheme1 or scheme2 (default: both); avoids SCIP crashes when running large N on scheme1 instances - --bertsimas-schemes CLI arg: comma-separated, e.g. scheme2 only - compare_bpc.py: prefer file-based results when available (same Andersen instances as paper); fall back to random Bertsimas results - run_benchmark(from_file): skip old CSV if it lacks oa/bna columns, add incremental saving and BnA/OA columns to output --- benchmark.py | 88 ++++++++++++++++++++++++++++++++++------------ compare_bpc.py | 95 +++++++++++++++++++++++++++++--------------------- 2 files changed, 122 insertions(+), 61 deletions(-) diff --git a/benchmark.py b/benchmark.py index 0151795..f8efe31 100644 --- a/benchmark.py +++ b/benchmark.py @@ -177,36 +177,65 @@ def run_benchmark( dir_path = Path(dir_path) files = sorted(dir_path.glob("*.txt"), key=_numeric_file_sort_key) + output_dir = Path("results") + output_dir.mkdir(exist_ok=True) + csv_path = output_dir / "benchmark_results_from_files.csv" + + # Load existing results so we can resume without re-running completed files. + # Only resume if the CSV already contains OA/BnA columns (otherwise it's an + # old file from before those methods were added and we must re-run everything). + if csv_path.exists(): + existing_df = pd.read_csv(csv_path) + if "oa_time_s" in existing_df.columns and "bna_time_s" in existing_df.columns: + results = existing_df.to_dict("records") + done_files = {r["file"] for r in results if "error" not in r or pd.isna(r.get("error"))} + print(f"Resuming — {len(done_files)} existing rows loaded from {csv_path}") + else: + print(f"Old CSV found (no OA/BnA columns) — re-running all files.") + results = [] + done_files: set[str] = set() + else: + results = [] + done_files: set[str] = set() + print("Starting WTA Optimization Benchmark (From Files)...") - print(f"Exact MIP time limit per instance: {exact_time_limit_seconds / 3600:.1f} h") - print(f"Exact MIP warm start from greedy: {'yes' if use_exact_warm_start else 'no'}") + print(f"Time limit per instance: {exact_time_limit_seconds:.0f}s") + print(f"Warm start from greedy: {'yes' if use_exact_warm_start else 'no'}") print( - f"{'File':<20} | {'Exact Time':<10} | {'Greedy T':<10} | {'LS Time':<10} | " - f"{'SA Time':<10} | {'Gr Gap%':<8} | {'LS Gap%':<8} | {'SA Gap%':<8} | {'Exact Status':<12}" + f"{'File':<12} | {'BnA T':<8} | {'OA T':<8} | {'Exact T':<8} | " + f"{'BnA Gap%':<9} | {'OA Gap%':<8} | {'Gr Gap%':<8} | Status" ) for index, file in enumerate(files, start=1): - print(f"Processing [{index}/{len(files)}]: {file.name}") + if file.name in done_files: + print(f"{file.name:<12} | (skipped — already done)") + continue + + print(f"[{index}/{len(files)}] {file.name} ...", end="", flush=True) instance = load_instance_from_file(file) - solutions = _evaluate_methods( - instance, - exact_time_limit_seconds=exact_time_limit_seconds, - use_exact_warm_start=use_exact_warm_start, - ) - row = _build_result_row({"file": file.name}, solutions) - results.append(row) + try: + solutions = _evaluate_methods( + instance, + exact_time_limit_seconds=exact_time_limit_seconds, + use_exact_warm_start=use_exact_warm_start, + ) + row = _build_result_row({"file": file.name}, solutions) + results.append(row) + + print( + f"\r{file.name:<12} | {row['bna_time_s']:<8.2f} | {row['oa_time_s']:<8.2f} | " + f"{row['exact_time_s']:<8.2f} | {row['optimality_gap_pct_bna']:<9.2f} | " + f"{row['optimality_gap_pct_oa']:<8.2f} | {row['optimality_gap_pct_greedy']:<8.2f} | " + f"{row['exact_status']}" + ) + except Exception as exc: + print(f"\r{file.name:<12} | ERROR: {exc}") + results.append({"file": file.name, "error": str(exc)}) - print( - f"{file.name:<20} | {row['exact_time_s']:<10.4f} | {row['greedy_time_s']:<10.4f} | " - f"{row['ls_time_s']:<10.4f} | {row['sa_time_s']:<10.4f} | " - f"{row['optimality_gap_pct_greedy']:<8.2f} | {row['optimality_gap_pct_ls']:<8.2f} | " - f"{row['optimality_gap_pct_sa']:<8.2f} | {row['exact_status']:<12}" - ) + # Save after every file so crashes don't lose data + pd.DataFrame(results).to_csv(csv_path, index=False) - output_dir = Path("results") - output_dir.mkdir(exist_ok=True) df = pd.DataFrame(results) - csv_path = output_dir / "benchmark_results_from_files.csv" df.to_csv(csv_path, index=False) print(f"\nResults saved to: {csv_path}") return df @@ -500,6 +529,7 @@ def plot_sensitivity_analysis(df: pd.DataFrame) -> None: def run_bertsimas_benchmark( sizes: list[int] | None = None, seeds: list[int] | None = None, + schemes_to_run: list[str] | None = None, exact_time_limit_seconds: float = EXACT_TIME_LIMIT_SECONDS, use_exact_warm_start: bool = True, ) -> pd.DataFrame: @@ -511,10 +541,12 @@ def run_bertsimas_benchmark( sizes = sizes or [5, 10, 15, 20, 25, 30] seeds = seeds or [42, 43, 44] - schemes = [ + all_schemes = [ ("scheme1", (0.0, 1.0), (1.0, 100.0)), ("scheme2", (0.6, 0.9), (25.0, 100.0)), ] + schemes = [(n, p, v) for n, p, v in all_schemes + if schemes_to_run is None or n in schemes_to_run] output_dir = Path("results") output_dir.mkdir(exist_ok=True) @@ -652,6 +684,12 @@ def _parse_args() -> argparse.Namespace: default=None, help="Comma-separated list of seeds for Bertsimas benchmark (e.g. 42,43,44). Overrides default.", ) + parser.add_argument( + "--bertsimas-schemes", + type=str, + default=None, + help="Comma-separated list of schemes to run: scheme1,scheme2. Default: both.", + ) return parser.parse_args() @@ -698,9 +736,15 @@ def main() -> None: if args.bertsimas_seeds else None ) + bertsimas_schemes = ( + [s.strip() for s in args.bertsimas_schemes.split(",")] + if args.bertsimas_schemes + else None + ) bertsimas_df = run_bertsimas_benchmark( sizes=bertsimas_sizes, seeds=bertsimas_seeds, + schemes_to_run=bertsimas_schemes, exact_time_limit_seconds=args.exact_limit_seconds, use_exact_warm_start=use_exact_warm_start, ) diff --git a/compare_bpc.py b/compare_bpc.py index 2185d55..a6a7433 100644 --- a/compare_bpc.py +++ b/compare_bpc.py @@ -11,8 +11,10 @@ N=350 → BPC 0.167 s N=400 → BPC 0.232 s N=450 → BPC 0.290 s -Our benchmark ran on the Bertsimas Scheme 2 instances across a range of N. -Instances where our methods hit the time limit are marked with open markers. +Data source priority: + 1. benchmark_results_from_files.csv — Andersen's actual wta*.txt instances + (SAME instances as used by BPC/BA in Table 1 of the paper) + 2. benchmark_bertsimas.csv — random Scheme-2 instances (fallback) Usage: python compare_bpc.py @@ -32,36 +34,47 @@ RESULTS_DIR = Path("results") RESULTS_DIR.mkdir(exist_ok=True) -# 1. Our benchmark results from Bertsimas instances -df = pd.read_csv(RESULTS_DIR / "benchmark_bertsimas.csv") -df2 = df[df["scheme"] == "scheme2"].copy() +# -------------------------------------------------------------------------- +# 1. Load our benchmark results — prefer file-based (same instances as paper) +# -------------------------------------------------------------------------- +files_csv = RESULTS_DIR / "benchmark_results_from_files.csv" +bertsimas_csv = RESULTS_DIR / "benchmark_bertsimas.csv" + +use_file_instances = False +if files_csv.exists(): + fdf = pd.read_csv(files_csv) + if "oa_time_s" in fdf.columns and "bna_time_s" in fdf.columns: + # Extract numeric N from filename (wta50.txt → 50) + fdf["size"] = fdf["file"].str.extract(r"(\d+)").astype(int) + # Keep only rows without errors + fdf = fdf[fdf["error"].isna()] if "error" in fdf.columns else fdf + if not fdf.empty: + ours = fdf[["size", "oa_time_s", "bna_time_s", "exact_time_s", + "oa_status", "bna_status", "exact_status"]].copy() + use_file_instances = True + print("Using Andersen wta*.txt file instances (same data as paper Table 1).") + +if not use_file_instances: + df = pd.read_csv(bertsimas_csv) + df2 = df[df["scheme"] == "scheme2"].copy() + agg_cols = {col: "mean" for col in df2.columns + if col not in ("scheme", "size", "seed") + and pd.api.types.is_numeric_dtype(df2[col])} + ours = df2.groupby("size", as_index=False).agg(agg_cols) + print("Using random Bertsimas Scheme-2 instances (file benchmark not yet run).") # Identify rows that reached the time limit for each method for method in ("oa", "bna", "exact"): status_col = f"{method}_status" - if status_col in df2.columns: - df2[f"{method}_timed_out"] = ~df2[status_col].str.lower().str.contains("optimal", na=False) - -# Aggregate per size: mean time -agg_cols = {col: "mean" for col in df2.columns - if col not in ("scheme", "size", "seed") - and pd.api.types.is_numeric_dtype(df2[col])} -ours = df2.groupby("size", as_index=False).agg(agg_cols) - -# Add "any timed out" flag per size for each method -for method in ("oa", "bna", "exact"): - timed_col = f"{method}_timed_out" - if timed_col in df2.columns: - timeout_by_size = df2.groupby("size")[timed_col].any() - ours[f"{method}_any_timeout"] = ours["size"].map(timeout_by_size) - -def split_optimal_timeout(ours_df, method): - time_col = f"{method}_time_s" - to_col = f"{method}_any_timeout" - if to_col not in ours_df.columns: - return ours_df, pd.DataFrame() - opt = ours_df[~ours_df[to_col].fillna(False)] - tmo = ours_df[ours_df[to_col].fillna(False)] + if status_col in ours.columns: + ours[f"{method}_timed_out"] = ~ours[status_col].str.lower().str.contains("optimal", na=False) + else: + ours[f"{method}_timed_out"] = False + +def split_optimal_timeout(df, method): + to_col = f"{method}_timed_out" + opt = df[~df[to_col].fillna(False)] + tmo = df[df[to_col].fillna(False)] return opt, tmo oa_opt, oa_tmo = split_optimal_timeout(ours, "oa") @@ -86,19 +99,24 @@ def split_optimal_timeout(ours_df, method): # -------------------------------------------------------------------------- export = pd.merge(bpc_data, ba_andersen, on="size", how="outer") combined = pd.concat( - [ours[["size", "oa_time_s", "bna_time_s", "exact_time_s"]].rename(columns={"size": "n"}), - export.assign(oa_time_s=np.nan, bna_time_s=np.nan, exact_time_s=np.nan).rename(columns={"size": "n"})], + [ours[["size", "oa_time_s", "bna_time_s", "exact_time_s"]].assign(bpc_time=np.nan, ba_time=np.nan), + export.assign(oa_time_s=np.nan, bna_time_s=np.nan, exact_time_s=np.nan)], ignore_index=True, -) +).sort_values("size") combined.to_csv(RESULTS_DIR / "comparison_bpc_vs_oa.csv", index=False) print(f"Saved → {RESULTS_DIR / 'comparison_bpc_vs_oa.csv'}") -print("\nOur methods (Scheme 2, mean over seeds):") + +label = "Andersen wta files" if use_file_instances else "Scheme-2 random (mean)" +print(f"\nOur methods ({label}):") print(ours[["size", "oa_time_s", "bna_time_s", "exact_time_s"]].to_string(index=False)) +print(f"\nBPC (Bertsimas) vs BA (Andersen) — large instances:") +print(pd.merge(bpc_data, ba_andersen, on="size", how="outer").to_string(index=False)) + # -------------------------------------------------------------------------- # 4. Plot # -------------------------------------------------------------------------- -fig, ax = plt.subplots(figsize=(11, 6.5)) +fig, ax = plt.subplots(figsize=(12, 7)) # — OA: optimal (solid) and timeout (open marker) if not oa_opt.empty: @@ -136,12 +154,12 @@ def split_optimal_timeout(ours_df, method): for _, row in bpc_data.iterrows(): ax.annotate(f"{row['bpc_time']:.3f}s", xy=(row["size"], row["bpc_time"]), - xytext=(10, -14), textcoords="offset points", + xytext=(8, -14), textcoords="offset points", color="tab:green", fontsize=8) # Time limit reference line (if any timeouts in our data) -if "oa_any_timeout" in ours.columns and ours["oa_any_timeout"].any(): - tl = df2["oa_time_s"].max() +if ours["oa_timed_out"].any() or ours["bna_timed_out"].any(): + tl = ours[["oa_time_s", "bna_time_s"]].max().max() ax.axhline(y=tl, color="gray", linestyle=":", alpha=0.5, linewidth=1) ax.text(ours["size"].min() + 1, tl * 1.05, f"our time limit ≈ {tl:.0f}s", color="gray", fontsize=8, alpha=0.8) @@ -150,10 +168,10 @@ def split_optimal_timeout(ours_df, method): ax.set_xlabel("Problem size N (weapons = targets)", fontsize=12) ax.set_ylabel("Solve time (seconds, log scale)", fontsize=12) +data_label = "Andersen wta*.txt — same instances as paper" if use_file_instances else "random Scheme-2" n_our = f"{ours['size'].min()}–{ours['size'].max()}" ax.set_title( - f"Solve Time: Our Methods (N={n_our}) vs Bertsimas & Paskov (2025) BPC (N=200–450)\n" - "Open markers = time limit reached (solution may not be optimal)", + f"Solve Time: Our Methods (N={n_our}, {data_label})\nvs Bertsimas & Paskov (2025) BPC (N=200–450)", fontsize=11, ) ax.legend(fontsize=9, loc="upper left") @@ -169,4 +187,3 @@ def split_optimal_timeout(ours_df, method): out_path = RESULTS_DIR / "comparison_bpc_vs_oa.png" fig.savefig(out_path, dpi=150) print(f"Saved → {out_path}") -plt.show() From db5b5ee7a5a81b04081602cc30cefabf7dea90d0 Mon Sep 17 00:00:00 2001 From: Anna Ostrowska Date: Tue, 19 May 2026 06:35:19 +0200 Subject: [PATCH 15/15] feat: add N=200-300 Scheme-2 benchmark results and updated comparison chart vs BPC --- compare_bpc.py | 50 ++++++++--------------- results/benchmark_bertsimas.csv | 37 ++++++++++++----- results/benchmark_results_from_files.csv | 26 ++++++------ results/bertsimas_scheme2_gap.png | Bin 245923 -> 261503 bytes results/bertsimas_scheme2_time.png | Bin 289099 -> 334295 bytes results/comparison_bpc_vs_oa.csv | 7 +++- results/comparison_bpc_vs_oa.png | Bin 117442 -> 147214 bytes results/optimality_gap_from_files.png | Bin 282420 -> 323481 bytes results/results.zipp | Bin 0 -> 1643527 bytes results/time_comparison_from_files.png | Bin 200434 -> 292550 bytes results/tradeoff_curve_from_files.csv | 10 +++-- results/tradeoff_curve_from_files.png | Bin 140659 -> 165034 bytes 12 files changed, 69 insertions(+), 61 deletions(-) create mode 100644 results/results.zipp diff --git a/compare_bpc.py b/compare_bpc.py index a6a7433..2f624d2 100644 --- a/compare_bpc.py +++ b/compare_bpc.py @@ -35,39 +35,27 @@ RESULTS_DIR.mkdir(exist_ok=True) # -------------------------------------------------------------------------- -# 1. Load our benchmark results — prefer file-based (same instances as paper) +# 1. Load our benchmark results — random Scheme-2 instances +# (same generation method as Bertsimas & Paskov (2025) paper) # -------------------------------------------------------------------------- -files_csv = RESULTS_DIR / "benchmark_results_from_files.csv" -bertsimas_csv = RESULTS_DIR / "benchmark_bertsimas.csv" - -use_file_instances = False -if files_csv.exists(): - fdf = pd.read_csv(files_csv) - if "oa_time_s" in fdf.columns and "bna_time_s" in fdf.columns: - # Extract numeric N from filename (wta50.txt → 50) - fdf["size"] = fdf["file"].str.extract(r"(\d+)").astype(int) - # Keep only rows without errors - fdf = fdf[fdf["error"].isna()] if "error" in fdf.columns else fdf - if not fdf.empty: - ours = fdf[["size", "oa_time_s", "bna_time_s", "exact_time_s", - "oa_status", "bna_status", "exact_status"]].copy() - use_file_instances = True - print("Using Andersen wta*.txt file instances (same data as paper Table 1).") - -if not use_file_instances: - df = pd.read_csv(bertsimas_csv) - df2 = df[df["scheme"] == "scheme2"].copy() - agg_cols = {col: "mean" for col in df2.columns - if col not in ("scheme", "size", "seed") - and pd.api.types.is_numeric_dtype(df2[col])} - ours = df2.groupby("size", as_index=False).agg(agg_cols) - print("Using random Bertsimas Scheme-2 instances (file benchmark not yet run).") +df = pd.read_csv(RESULTS_DIR / "benchmark_bertsimas.csv") +df2 = df[df["scheme"] == "scheme2"].copy() # Identify rows that reached the time limit for each method for method in ("oa", "bna", "exact"): status_col = f"{method}_status" - if status_col in ours.columns: - ours[f"{method}_timed_out"] = ~ours[status_col].str.lower().str.contains("optimal", na=False) + if status_col in df2.columns: + df2[f"{method}_timed_out"] = ~df2[status_col].str.lower().str.contains("optimal", na=False) + +# Aggregate per size: mean time, "any timeout" flag +agg_cols = {col: "mean" for col in df2.columns + if col not in ("scheme", "size", "seed") + and pd.api.types.is_numeric_dtype(df2[col])} +ours = df2.groupby("size", as_index=False).agg(agg_cols) +for method in ("oa", "bna", "exact"): + timed_col = f"{method}_timed_out" + if timed_col in df2.columns: + ours[f"{method}_timed_out"] = ours["size"].map(df2.groupby("size")[timed_col].any()) else: ours[f"{method}_timed_out"] = False @@ -106,8 +94,7 @@ def split_optimal_timeout(df, method): combined.to_csv(RESULTS_DIR / "comparison_bpc_vs_oa.csv", index=False) print(f"Saved → {RESULTS_DIR / 'comparison_bpc_vs_oa.csv'}") -label = "Andersen wta files" if use_file_instances else "Scheme-2 random (mean)" -print(f"\nOur methods ({label}):") +print("\nOur methods (random Scheme-2, mean over seeds):") print(ours[["size", "oa_time_s", "bna_time_s", "exact_time_s"]].to_string(index=False)) print(f"\nBPC (Bertsimas) vs BA (Andersen) — large instances:") @@ -168,10 +155,9 @@ def split_optimal_timeout(df, method): ax.set_xlabel("Problem size N (weapons = targets)", fontsize=12) ax.set_ylabel("Solve time (seconds, log scale)", fontsize=12) -data_label = "Andersen wta*.txt — same instances as paper" if use_file_instances else "random Scheme-2" n_our = f"{ours['size'].min()}–{ours['size'].max()}" ax.set_title( - f"Solve Time: Our Methods (N={n_our}, {data_label})\nvs Bertsimas & Paskov (2025) BPC (N=200–450)", + f"Solve Time: Our Methods (N={n_our}, random Scheme-2 instances)\nvs Bertsimas & Paskov (2025) BPC (N=200–450)", fontsize=11, ) ax.legend(fontsize=9, loc="upper left") diff --git a/results/benchmark_bertsimas.csv b/results/benchmark_bertsimas.csv index dfb1152..5564b1c 100644 --- a/results/benchmark_bertsimas.csv +++ b/results/benchmark_bertsimas.csv @@ -1,5 +1,5 @@ scheme,size,seed,greedy_time_s,greedy_obj,greedy_status,optimality_gap_pct_greedy,ls_time_s,ls_obj,ls_status,optimality_gap_pct_ls,sa_time_s,sa_obj,sa_status,optimality_gap_pct_sa,exact_time_s,exact_obj,exact_status,bna_time_s,bna_obj,bna_status,optimality_gap_pct_bna,oa_time_s,oa_obj,oa_status,optimality_gap_pct_oa -scheme1,5,42,2.3600005079060796e-05,51.0046435572053,heuristic,34.22576041757257,0.0001744999899528,37.9991466604706,heuristic,0.0,0.169464600039646,37.9991466604706,heuristic,0.0,1.1933268000138924,37.9991466604706,Optimal,0.556907800026238,37.9991466604706,optimal,0.0,0.4769726999802515,37.9991466604706,optimal,0.0 +scheme1,5,42,2.36000050790608e-05,51.0046435572053,heuristic,34.22576041757257,0.0001744999899528,37.9991466604706,heuristic,0.0,0.169464600039646,37.9991466604706,heuristic,0.0,1.1933268000138924,37.9991466604706,Optimal,0.556907800026238,37.9991466604706,optimal,0.0,0.4769726999802515,37.9991466604706,optimal,0.0 scheme1,5,43,1.4699995517730711e-05,39.1512830793721,heuristic,33.34500207423731,0.0001585000427439,29.36089277465035,heuristic,0.0,0.2929498000303283,29.36089277465035,heuristic,0.0,0.4161149999708868,29.36089277465035,Optimal,0.425420599989593,29.36089277465035,optimal,0.0,0.3782425000099465,29.36089277465035,optimal,0.0 scheme1,5,44,1.6600009985268116e-05,75.08396516446176,heuristic,0.0,0.0001317000132985,61.27504252534724,heuristic,0.0,0.1489755000220611,39.96274698982926,heuristic,0.0,0.2945709000341594,102.656535420332,Optimal,0.2086689000134356,39.96274698982926,optimal,0.0,0.1665176000096835,39.96274698982926,optimal,0.0 scheme1,10,42,3.1800009310245514e-05,64.6188439994443,heuristic,131.15276442356767,0.010871100006625,33.101227009965974,heuristic,18.40880547524961,0.1805955999880097,27.95503837498382,heuristic,0.0,0.8705226999591105,27.955038374983825,Optimal,2.9519905000342987,27.955038374983825,optimal,0.0,4.162135899998248,27.955038374983825,optimal,0.0 @@ -9,11 +9,11 @@ scheme1,15,42,4.1199964471161366e-05,59.09991419537808,heuristic,244.37412165821 scheme1,15,43,4.640000406652689e-05,133.47718574698317,heuristic,70.65660959299528,0.0133287000353448,86.4764907453809,heuristic,10.564098557496678,0.1288387000095099,84.83685274038068,heuristic,8.46774732468321,1.052337399974931,78.2138975251632,Optimal,19.11101140000392,78.2138975251632,optimal,0.0,17.688193099980708,78.2138975251632,optimal,0.0 scheme1,15,44,2.6999972760677338e-05,89.07235184094476,heuristic,110.20907187100173,0.0105681999702937,43.01628495992333,heuristic,1.5176219093319046,0.026935699977912,43.65126411204754,heuristic,3.016160742839031,0.7417898999992758,42.37321969415549,Optimal,1.9724300000234507,42.05641523106063,optimal,0.0,13.159315900004003,42.05641523106063,optimal,0.0 scheme1,20,42,4.210002953186631e-05,94.5832589263517,heuristic,195.69710345061807,0.0364303999813273,31.856929384593894,heuristic,0.0,0.032096899987664,38.36450188311856,heuristic,19.9395348705132,0.4223836999735795,31.98653548601543,Optimal,4.3525594000238925,31.98653548601543,optimal,0.0,9.373311700008344,31.8569293845939,optimal,0.0 -scheme1,20,43,5.859998054802418e-05,140.67727456704517,heuristic,95.42293256836544,0.0186110000358894,84.89053403641651,heuristic,17.92634709300375,0.0331059000454843,93.66913732532316,heuristic,30.121212282511134,0.5560996999847703,71.98606259673826,Optimal,2.344802499981597,71.98606259673826,optimal,0.0,16.767362100013997,71.98606259673826,optimal,0.0 +scheme1,20,43,5.859998054802418e-05,140.67727456704517,heuristic,95.42293256836544,0.0186110000358894,84.89053403641651,heuristic,17.92634709300375,0.0331059000454843,93.66913732532316,heuristic,30.12121228251113,0.5560996999847703,71.98606259673826,Optimal,2.344802499981597,71.98606259673826,optimal,0.0,16.767362100013997,71.98606259673826,optimal,0.0 scheme1,20,44,5.420000525191426e-05,136.7604581948346,heuristic,153.40305433355667,0.0174278999911621,74.5557777556848,heuristic,38.14418327400676,0.0285715000354684,61.30626929236709,heuristic,13.59420766453758,0.4001717999926768,53.969538194601085,Optimal,6.904461199999787,53.969538194601085,optimal,0.0,13.628750199975912,53.969538194601085,optimal,0.0 scheme1,25,42,7.130001904442906e-05,103.2278242771931,heuristic,177.25105708343762,0.042259500012733,41.06164970227227,heuristic,10.284081498945705,0.0351231000386178,46.86255142258722,heuristic,25.8642426159304,1.026302799989935,37.2326170233959,Optimal,4.270409799995832,37.2326170233959,optimal,0.0,13.93937300000107,37.0132016050052,optimal,0.0 scheme1,25,43,6.999995093792677e-05,173.40394317314724,heuristic,202.1024315645413,0.071568900020793,78.7136674081498,heuristic,37.13408061095965,0.0255888000247068,90.33234280941608,heuristic,57.37600836675946,0.5983229000121355,57.39905576897058,Optimal,1.480082600028254,57.39905576897058,optimal,0.0,24.203632100019604,57.39905576897058,optimal,0.0 -scheme1,25,44,8.670001989230514e-05,120.85428140045174,heuristic,213.31203330344877,0.158241499972064,41.16169198556789,heuristic,6.71076986901303,0.0740921999677084,43.82671587239982,heuristic,13.61978494990076,1.8497924000257624,38.5731374968934,Optimal,9.284577300015371,38.5731374968934,optimal,0.0,59.47638639999786,38.5731374968934,optimal,0.0 +scheme1,25,44,8.670001989230514e-05,120.85428140045174,heuristic,213.3120333034488,0.158241499972064,41.16169198556789,heuristic,6.71076986901303,0.0740921999677084,43.82671587239982,heuristic,13.61978494990076,1.8497924000257624,38.5731374968934,Optimal,9.284577300015371,38.5731374968934,optimal,0.0,59.47638639999786,38.5731374968934,optimal,0.0 scheme1,30,42,0.0001231999485753,124.53104586485334,heuristic,225.44982798770909,0.3101352999801747,46.43133390138773,heuristic,21.343794445007138,0.0825097000342793,48.437190835644685,heuristic,26.5859072827194,48.21845049998956,38.26428381752175,Optimal,12.428648600005545,38.26428381752175,optimal,0.0,39.92580409999937,36.84486040551609,optimal,0.0 scheme1,30,43,0.0001230000052601,167.33122318879978,heuristic,180.08437540651886,0.2829731000238098,85.61069976606727,heuristic,43.29793875372168,0.1479882999556139,72.1687465270012,heuristic,20.79836571851152,5.872482199978549,59.74314809454565,Optimal,23.17851290002,59.74314809454565,optimal,0.0,46.89630419999594,59.45535544398005,optimal,0.0 scheme1,30,44,0.0001224000006914,157.0107812741449,heuristic,190.5139921592434,0.2007355999667197,66.99210765021502,heuristic,23.95419269103785,0.0828020000481046,65.76246209614345,heuristic,21.679003459092915,4.0633670000243,54.04585855130876,Optimal,19.26697810000041,54.04585855130876,optimal,0.0,40.91751689999364,54.04585855130876,optimal,0.0 @@ -33,11 +33,26 @@ scheme2,25,42,7.049995474517345e-05,227.5945734735277,heuristic,38.0136301253482 scheme2,25,43,6.880000000819564e-05,256.6967577377104,heuristic,39.04406994027187,0.0727409000392071,192.9179161730672,heuristic,4.497199206964624,0.0379997999989427,202.1575441009136,heuristic,9.50199740988652,8.27369300002465,184.61539413221843,Optimal,1.156199499964714,184.61539413221843,optimal,0.0,7.049450400052592,184.61539413221843,optimal,0.0 scheme2,25,44,9.510002564638852e-05,258.4279996954226,heuristic,63.428306161965374,0.6509671999956481,163.7975084467189,heuristic,3.584555042592126,0.3460029999841936,163.75401892496103,heuristic,3.557052531699118,2.2317752999952063,158.12927745779115,Optimal,6.955458700016607,158.12927745779115,optimal,0.0,13.54622889996972,158.12927745779115,optimal,0.0 scheme2,30,42,0.0001377000007778,295.4162924517665,heuristic,53.230346726413615,1.0820895999786444,209.74406561376065,heuristic,8.79276708494893,0.2834444000036455,203.14511445436773,heuristic,5.369937674314653,3.152277700020932,192.7922887097684,Optimal,20.27730730001349,192.7922887097684,optimal,0.0,44.40142889996059,192.7922887097684,optimal,0.0 -scheme2,30,43,9.50000248849392e-05,313.87158405191497,heuristic,47.30381209428662,0.1682526000076905,224.40833742202287,heuristic,5.317605185110877,0.0349466000334359,228.97541312844453,heuristic,7.460990237667415,3.0205564000061718,213.07770626534173,Optimal,0.7423061999725178,213.07770626534173,optimal,0.0,45.64516499999445,212.18035816086575,optimal,0.0 -scheme2,30,44,9.950000094249845e-05,332.99537675004683,heuristic,67.88695471444115,0.1498626000247895,210.26327272208732,heuristic,6.008860814006189,0.0352923999889753,211.37039250664367,heuristic,6.567039642034745,60.11354120000033,198.3449978686185,Optimal,0.7677733000018634,197.12338245024748,optimal,0.0,3.255074299988337,197.12338245024748,optimal,0.0 -scheme1,50,42,0.00035119999665766954,220.45289094874738,heuristic,282.39130902235934,13.640622900042217,71.81564894835985,heuristic,24.56938029466827,0.1443678999785334,99.56252680450426,heuristic,72.69832475546606,3606.1628059999784,57.651124841819296,Optimal,50.56252889998723,54.74993152007395,optimal,0.0,238.84295849996852,53.956469393843356,optimal,0.0 -scheme1,50,43,0.00029360002372413874,234.5754502072204,heuristic,150.9477945995421,1.3938550999737345,129.9277581698544,heuristic,38.99614960212062,0.09224399999948218,139.54244356468178,heuristic,49.28189814685938,3601.4864187000203,93.47579666183223,Optimal,39.941480799985584,85.48234341275449,optimal,0.0,211.66548889997648,81.80989285791944,optimal,0.0 -scheme1,50,44,0.00032169994665309787,195.37523230921656,heuristic,258.62311472733586,2.0896258000284433,71.63690582531659,heuristic,31.493895069789474,0.0909321999642998,114.936613804382,heuristic,110.97314102487665,3602.2675219000084,54.47926368543254,Optimal,35.04242539999541,53.2590405257078,optimal,0.0,118.57808210002258,52.57626207471055,optimal,0.0 -scheme2,50,42,0.00030860002152621746,488.62855618186103,heuristic,52.589597901774724,2.3319161999970675,344.50050611738976,heuristic,7.5810921002447085,0.09083859995007515,351.7404135533999,heuristic,9.84198035683626,3600.9604196000146,320.22402765383913,Optimal,2.2860622000298463,320.22402765383913,optimal,0.0,98.0851202000049,320.22402765383913,optimal,0.0 -scheme2,50,43,0.00030610000248998404,492.45428153952935,heuristic,39.356888187329844,2.0622883000178263,384.9947612944167,heuristic,8.947518406553142,0.09692999999970198,399.14691809637804,heuristic,12.952358260711613,19.806595299975015,353.3763475527309,Optimal,2.638577300007455,353.3763475527309,optimal,0.0,51.26377860002685,353.20752788058223,optimal,0.0 -scheme2,50,44,0.0003046999918296933,484.6309309439747,heuristic,51.774260124879056,3.1964147000107914,331.714294075459,heuristic,3.8846023675891015,0.0913414999959059,367.68109912835723,heuristic,15.14850418938688,1.2395059999544173,319.31035641038403,Optimal,3.2222673000069335,319.31035641038403,optimal,0.0,64.85776919999626,319.31035641038403,optimal,0.0 +scheme2,30,43,9.50000248849392e-05,313.87158405191497,heuristic,47.30381209428662,0.1682526000076905,224.40833742202287,heuristic,5.317605185110877,0.0349466000334359,228.97541312844453,heuristic,7.460990237667415,3.020556400006172,213.07770626534173,Optimal,0.7423061999725178,213.07770626534173,optimal,0.0,45.64516499999445,212.1803581608657,optimal,0.0 +scheme2,30,44,9.950000094249845e-05,332.99537675004683,heuristic,67.88695471444115,0.1498626000247895,210.2632727220873,heuristic,6.008860814006189,0.0352923999889753,211.37039250664367,heuristic,6.567039642034745,60.11354120000033,198.3449978686185,Optimal,0.7677733000018634,197.12338245024748,optimal,0.0,3.255074299988337,197.12338245024748,optimal,0.0 +scheme1,50,42,0.0003511999966576,220.45289094874732,heuristic,282.39130902235934,13.640622900042215,71.81564894835985,heuristic,24.56938029466827,0.1443678999785334,99.56252680450426,heuristic,72.69832475546606,3606.1628059999775,57.651124841819296,Optimal,50.56252889998723,54.74993152007395,optimal,0.0,238.8429584999685,53.95646939384336,optimal,0.0 +scheme1,50,43,0.0002936000237241,234.5754502072204,heuristic,150.9477945995421,1.3938550999737345,129.9277581698544,heuristic,38.99614960212062,0.0922439999994821,139.54244356468178,heuristic,49.28189814685938,3601.4864187000203,93.47579666183223,Optimal,39.941480799985584,85.48234341275449,optimal,0.0,211.66548889997648,81.80989285791944,optimal,0.0 +scheme1,50,44,0.000321699946653,195.37523230921656,heuristic,258.62311472733586,2.089625800028444,71.63690582531659,heuristic,31.49389506978948,0.0909321999642998,114.936613804382,heuristic,110.97314102487664,3602.2675219000084,54.47926368543254,Optimal,35.04242539999541,53.2590405257078,optimal,0.0,118.57808210002258,52.57626207471055,optimal,0.0 +scheme2,50,42,0.0003086000215262,488.628556181861,heuristic,52.58959790177472,2.3319161999970675,344.50050611738976,heuristic,7.581092100244708,0.0908385999500751,351.7404135533999,heuristic,9.84198035683626,3600.9604196000146,320.2240276538392,Optimal,2.2860622000298463,320.2240276538392,optimal,0.0,98.0851202000049,320.2240276538392,optimal,0.0 +scheme2,50,43,0.0003061000024899,492.45428153952935,heuristic,39.35688818732984,2.0622883000178263,384.9947612944167,heuristic,8.947518406553142,0.0969299999997019,399.1469180963781,heuristic,12.952358260711613,19.80659529997501,353.3763475527309,Optimal,2.638577300007455,353.3763475527309,optimal,0.0,51.26377860002685,353.20752788058223,optimal,0.0 +scheme2,50,44,0.0003046999918296,484.6309309439747,heuristic,51.774260124879056,3.1964147000107914,331.714294075459,heuristic,3.8846023675891015,0.0913414999959059,367.6810991283572,heuristic,15.14850418938688,1.2395059999544171,319.31035641038403,Optimal,3.222267300006933,319.31035641038403,optimal,0.0,64.85776919999626,319.31035641038403,optimal,0.0 +scheme2,100,42,0.0007761000306345,879.475646560473,heuristic,37.47368169240283,24.700725100003183,666.2652001953145,heuristic,4.1460675035049785,0.0930460999952629,773.6460247649554,heuristic,20.931111358314578,3601.4359489000053,639.7411022484279,Optimal,3.85373959998833,637.3454901068948,optimal,0.0,143.343974599964,637.30810118913,optimal,0.0 +scheme2,100,43,0.000652499962598,903.3479783081144,heuristic,33.60520733922066,18.988586799998306,722.2282063232855,heuristic,6.817584772569172,0.0803242000401951,827.7934058219238,heuristic,22.43068261027878,11.593764399993232,676.132312728301,Optimal,4.927118099993095,676.132312728301,optimal,0.0,222.39620590000413,675.8778515917207,optimal,0.0 +scheme2,100,44,0.000527600001078,836.8696370422459,heuristic,34.39609081085043,16.36698069999693,663.2897773431781,heuristic,6.520238283208836,0.0822615000070072,754.6710704307762,heuristic,21.195509102711405,65.43184390000533,622.6889725684503,Optimal,4.331093700020574,622.6889725684503,optimal,0.0,398.74486799997976,622.6756865258973,optimal,0.0 +scheme2,150,42,0.002664299972821,1227.720168610828,heuristic,0.0,83.35106969997287,1003.07121800256,heuristic,0.0,0.119785499991849,1227.7201686108288,heuristic,0.0,2.637582700001076,7416.332523103613,Optimal,10.650390600028912,948.3436352467376,optimal,0.0,641.9791666999809,948.3436352467376,optimal,0.0 +scheme2,150,43,0.001211900031194,1287.577485560009,heuristic,0.0,99.40373800002271,1012.1512575998136,heuristic,0.0,0.1621960999909788,1287.5774855600098,heuristic,0.0,2.5410267999977805,7679.1297385081725,Optimal,14.436109499947634,966.7988661513004,optimal,0.0,1540.710731900006,966.5718106871776,optimal,0.0 +scheme2,150,44,0.0014335999730974,1277.903313184274,heuristic,0.0,118.08024700003445,973.9727370147444,heuristic,0.0,0.1283149999799206,1211.3655702294686,heuristic,0.0,2.7482531999703497,7303.198200064621,Optimal,10.688372900011018,926.7121573926112,optimal,0.0,1184.6437167000258,926.5934593522654,optimal,0.0 +scheme2,200,42,0.015053700015414506,1568.2818710591646,heuristic,0.0,302.33239570003934,1322.6874019169709,heuristic,0.0,0.21959599998081103,1568.2818710591644,heuristic,0.0,9.845589200034738,10359.926742629612,Optimal,3599.5972877999884,3097.8332585178186,time_limit,0.0,3600.7828998999903,1254.230466283895,time_limit,0.0 +scheme2,200,43,0.004704400023911148,1632.1474419538174,heuristic,0.0,382.3426317999838,1346.3658243411808,heuristic,0.0,0.21932939998805523,1632.1474419538172,heuristic,0.0,31.195947900007013,10943.918855040853,Optimal,3600.319890999992,2526.777894409157,time_limit,0.0,3600.5431254000287,1289.8434166602779,time_limit,0.0 +scheme2,200,44,0.003194599994458258,1607.8735319021523,heuristic,0.0,353.36091019999003,1301.8173939325,heuristic,0.0,0.22783609997713938,1607.8735319021544,heuristic,0.0,23.29373759997543,10464.060037014064,Optimal,3599.613519799954,2603.126204299206,time_limit,0.0,2883.8831800000044,1238.8165234477356,optimal,0.0 +scheme2,250,42,0.0038212999934330583,1978.1273681163273,heuristic,0.0,870.0153691999731,1651.3333389172435,heuristic,0.0,0.24667260004207492,1978.1273681163282,heuristic,0.0,21.30210009997245,13926.33100411274,Optimal,2761.9502951999893,3297.301353613492,optimal,0.0,3600.5892823999748,1617.139367088465,time_limit,0.0 +scheme2,250,43,0.004559499968308955,1994.5658118857189,heuristic,0.0,775.1200457999948,1683.1640737585603,heuristic,0.0,0.1855441000079736,1994.5658118857189,heuristic,0.0,8.623445699980948,14176.694406810271,Optimal,3600.4513418000424,3509.409523360721,time_limit,0.0,3601.3229248000425,1640.1668258727918,time_limit,0.0 +scheme2,250,44,0.003670700010843575,1970.140767181534,heuristic,0.0,853.6331230999785,1608.4387888994197,heuristic,0.0,0.20966640004189685,1970.1407671815339,heuristic,0.0,9.467138800013345,13726.949830788588,Optimal,607.1320400999975,3120.195290898126,optimal,0.0,3601.556431899953,1573.6512074880213,time_limit,0.0 +scheme2,300,42,0.005090499995276332,2313.3317547259207,heuristic,0.0,1597.5730219999678,1977.8805749780097,heuristic,0.0,0.25550600001588464,2313.3317547259185,heuristic,0.0,30.440420900005847,2313.3317547259207,Optimal,50.36493379995227,4520.734554177198,optimal,95.420935408065,3601.8709036000073,1944.3680840327331,time_limit,0.0 +scheme2,300,43,0.007546600012574345,2325.72504622047,heuristic,0.0,1434.2000149000087,1998.5426584208146,heuristic,0.0,0.35384449997218326,2325.7250462204715,heuristic,5.86587849185534e-14,28.586880400020164,2325.72504622047,Optimal,43.73475659999531,4490.879064228763,optimal,93.09587225398288,3602.016820299963,1963.3607240899423,time_limit,0.0 +scheme2,300,44,0.010569500038400292,2225.1256667383145,heuristic,0.0,1675.6362958999816,1909.2424378186213,heuristic,0.0,0.21308060002047569,2225.125666738315,heuristic,2.0436928919751865e-14,16.705579500005115,2225.1256667383145,Optimal,50.826441399985924,4195.807748936535,optimal,88.56497912259184,3601.7627170999767,1883.0294442951597,time_limit,0.0 diff --git a/results/benchmark_results_from_files.csv b/results/benchmark_results_from_files.csv index 4b9cc5b..ff74ac4 100644 --- a/results/benchmark_results_from_files.csv +++ b/results/benchmark_results_from_files.csv @@ -1,13 +1,13 @@ -file,greedy_time_s,greedy_obj,greedy_status,optimality_gap_pct_greedy,ls_time_s,ls_obj,ls_status,optimality_gap_pct_ls,sa_time_s,sa_obj,sa_status,optimality_gap_pct_sa,exact_time_s,exact_obj,exact_status -wta5.txt,1.009996049106121e-05,239.64523412,heuristic,4.7142444708407085,5.169998621568084e-05,228.85638466,heuristic,0.0,0.014219200005754828,228.85638466,heuristic,0.0,0.0743759999750182,228.85638466,Optimal -wta10.txt,1.7000013031065464e-05,437.87541626999996,heuristic,0.4854808163422389,0.00021629995899274945,437.87541627,heuristic,0.485480816342252,0.020867599989287555,435.75988562,heuristic,0.0,0.13143439998384565,435.75988562,Optimal -wta20.txt,3.1100003980100155e-05,673.37527874,heuristic,1.9127155142160817,0.007082399970386177,666.98228988,heuristic,0.9451616470859356,0.026047099963761866,665.57205942,heuristic,0.7317287810199331,0.23779250000370666,660.73725476,Optimal -wta30.txt,6.290001329034567e-05,1279.7773311400001,heuristic,3.542801187329786,0.04608240001834929,1251.26656828,heuristic,1.2360840900028311,0.03393279999727383,1243.35290184,heuristic,0.5958139657228049,2.1942991000250913,1235.9887085,Optimal -wta40.txt,9.590003173798323e-05,1656.23534077,heuristic,2.6166854848932144,0.1049887000117451,1628.8619789299999,heuristic,0.9206924134656007,0.03729529998963699,1638.67749413,heuristic,1.5288400669762012,442.1384118000278,1614.0019851,Optimal -wta50.txt,0.00016039999900385737,1869.0937288300001,heuristic,2.1799376075069516,0.3426020999904722,1836.58674608,heuristic,0.4028402806208773,0.038858600019011647,1852.46746997,heuristic,1.271010427046864,0.8207664999645203,1829.2179194799994,Optimal -wta60.txt,0.00021549995290115476,2285.1511803999997,heuristic,2.1688293138858517,0.9252206000383012,2238.74625241,heuristic,0.09407066868167377,0.04385600000387058,2270.43504774,heuristic,1.5108728255817192,576.8102467000135,2236.6422281100004,Optimal -wta70.txt,0.0005629000370390713,2761.47310397,heuristic,0.0,3.2428193000378087,2714.57870846,heuristic,0.0,0.11645199998747557,2752.75892186,heuristic,0.0,14.510988799971528,2768.26246959989,Optimal -wta80.txt,0.0008541999850422144,2939.9567470000006,heuristic,0.0,7.105563999968581,2885.42648512,heuristic,0.0,0.1415067999623716,2939.956747,heuristic,0.0,5402.237035600003,3021.5583622378563,Optimal -wta90.txt,0.0009682999807409942,3295.9216866366005,heuristic,0.0,12.553787200013176,3223.83369963,heuristic,0.0,0.17377150000538677,3295.9216866366,heuristic,0.0,5405.2912039000075,3303.2566692099986,Optimal -wta100.txt,0.001129699987359345,3886.125077270001,heuristic,0.0,13.653826099995058,3821.51799559,heuristic,0.0,0.15847359999315813,3886.12507727,heuristic,0.0,5402.394408599997,3890.0191771600007,Optimal -wta200.txt,0.004744499980006367,7209.545806279998,heuristic,1.4930288372056182,267.5373136999551,7128.26886968,heuristic,0.34884545980646187,0.2738520000129938,7209.54580628,heuristic,1.4930288372056437,5405.444416199985,7103.488671960001,Optimal +file,greedy_time_s,greedy_obj,greedy_status,optimality_gap_pct_greedy,ls_time_s,ls_obj,ls_status,optimality_gap_pct_ls,sa_time_s,sa_obj,sa_status,optimality_gap_pct_sa,exact_time_s,exact_obj,exact_status,bna_time_s,bna_obj,bna_status,optimality_gap_pct_bna,oa_time_s,oa_obj,oa_status,optimality_gap_pct_oa +wta5.txt,1.1699972674250603e-05,239.64523412,heuristic,4.7142444708407085,5.3499999921768904e-05,228.85638466,heuristic,0.0,0.01711239997530356,228.85638466,heuristic,0.0,0.36960820003878325,228.85638466,Optimal,0.11023319995729253,228.85638466,optimal,0.0,0.025462499994318932,228.85638466,optimal,0.0 +wta10.txt,2.1599989850074053e-05,437.87541626999996,heuristic,0.4854808163422389,0.00037570000858977437,437.87541627,heuristic,0.485480816342252,0.03342690004501492,435.75988562,heuristic,0.0,0.1378320999792777,435.75988562,Optimal,0.24634380004135892,435.75988562,optimal,0.0,1.239956000004895,435.75988562,optimal,0.0 +wta20.txt,3.2800016924738884e-05,673.37527874,heuristic,1.9127155142160817,0.006104299973230809,666.98228988,heuristic,0.9451616470859356,0.029911799996625632,665.57205942,heuristic,0.7317287810199331,0.2523403000086546,660.73725476,Optimal,0.7942125999834388,660.73725476,optimal,0.0,6.595374700031243,660.73725476,optimal,0.0 +wta30.txt,9.429996134713292e-05,1279.7773311400001,heuristic,3.542801187329786,0.05206779995933175,1251.26656828,heuristic,1.2360840900028311,0.036286799993831664,1243.35290184,heuristic,0.5958139657228049,2.0898730999906547,1235.9887085,Optimal,2.976942799985409,1235.9887085,optimal,0.0,15.093386700027622,1235.95810556,optimal,0.0 +wta40.txt,0.00011729996185749769,1656.23534077,heuristic,2.6166854848932144,0.1200476000085473,1628.8619789299999,heuristic,0.9206924134656007,0.045192499994300306,1638.67749413,heuristic,1.5288400669762012,10.833653800014872,1614.0019851,Optimal,3.685326599981636,1614.0019851,optimal,0.0,25.080322300025728,1613.67858287,optimal,0.0 +wta50.txt,0.00016060000052675605,1869.0937288300001,heuristic,2.1799376075069516,0.4290767000056803,1836.58674608,heuristic,0.4028402806208773,0.041263499995693564,1852.46746997,heuristic,1.271010427046864,0.6903258999809623,1829.2179194799994,Optimal,0.4582364000380039,1829.2179194799994,optimal,0.0,30.98497689998476,1821.4579212299998,optimal,0.0 +wta60.txt,0.00024349999148398638,2285.1511803999997,heuristic,2.1688293138858517,1.1976836000103503,2238.74625241,heuristic,0.09407066868167377,0.06401510001160204,2270.43504774,heuristic,1.5108728255817192,20.6026132000261,2236.6422281100004,Optimal,4.213065200019628,2236.6422281100004,optimal,0.0,48.09387450001668,2218.3331545899996,optimal,0.0 +wta70.txt,0.00044269999489188194,2761.47310397,heuristic,0.0,1.8572582000051625,2714.57870846,heuristic,0.0,0.06627549999393523,2752.75892186,heuristic,0.0,6.799486099975184,2768.26246959989,Optimal,13.933201999985613,2768.26246959989,optimal,0.0,75.84722180000972,2683.75321426,optimal,0.0 +wta80.txt,0.00037460000021383166,2939.9567470000006,heuristic,0.0,3.9198671999620274,2885.42648512,heuristic,0.0,0.07943479996174574,2939.956747,heuristic,0.0,600.7576873999787,3021.5583622378563,Optimal,96.18232349999016,3010.960220637856,optimal,0.0,39.16560910001863,2860.26910509,optimal,0.0 +wta90.txt,0.0004686000174842775,3295.9216866366005,heuristic,0.0,5.472668099973816,3223.83369963,heuristic,0.0,0.0645525999716483,3295.9216866366,heuristic,0.0,600.8146946000052,3313.4191334999987,Optimal,388.07127329998184,3322.2791321499985,optimal,0.26739746144463605,122.68592179997358,3196.13092617,optimal,0.0 +wta100.txt,0.0007578000077046454,3886.125077270001,heuristic,0.0,7.783843200013507,3821.51799559,heuristic,0.0,0.0740360000054352,3886.12507727,heuristic,0.0,600.7375334999524,3892.237437530001,Optimal,600.023428799992,3887.94148561,time_limit,0.0,239.016870499996,3780.685267069999,optimal,0.0 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a/results/tradeoff_curve_from_files.csv +++ b/results/tradeoff_curve_from_files.csv @@ -1,5 +1,7 @@ method,runtime_s,objective_value -Greedy,0.00073770832871863,2377.8479942855497 -Greedy + Local Search,25.45996287499535,2338.5667829158333 -Simulated Annealing,0.08992770832749859,2368.2857902022165 -Exact MIP,1887.6904483416631,2360.6491430331457 +Greedy,0.00039505832925594103,2377.8479942855497 +Greedy + Local Search,13.273468324992185,2338.5667829158333 +Simulated Annealing,0.05685504166467581,2368.2857902022165 +Exact MIP (PuLP),203.83666395832552,2361.689222338146 +Branch & Adjust (SCIP),142.5796829499935,2360.7312592723124 +Outer Approximation (SCIP),100.31978625000436,2320.9979965633333 diff --git a/results/tradeoff_curve_from_files.png b/results/tradeoff_curve_from_files.png index d847282cd4a3e99ef5541be500ff87f5af97622f..db88f9e2fd32a9c168421681b279bafdeb3e462f 100644 GIT binary patch literal 165034 zcmeFZWmJ`G`!9-!E);93goLPwD2-B*iq46EfT+}@q$k~71|h8|pmYcb(%m2^h)7J3 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