{ "instance_id": "assignment_small_s42", "problem_type": "assignment", "size": "small", "seed": 42, "label": "Assignment (small)", "features": { "general": { "n_variables": 25, "n_constraints": 10, "pct_binary": 1.0, "pct_integer": 1.0, "sparsity": 0.2, "coefficient_range": 100.0, "constraint_tightness": 0.5 }, "graph": { "graph_density": 1.0, "clustering_coefficient": 0.0, "avg_degree": 5, "connected_components": 1, "treewidth_approx": 5 }, "problem": { "n_machines": 5, "n_jobs": 5, "capacity_utilization": 0.0, "customer_clustering": 0.0, "demand_variance": 0.0, "time_window_tightness": 0.0 } }, "feature_vector": [ 0.025, 0.02, 1.0, 1.0, 0.2, 1.0, 0.5, 1.0, 0.0, 0.25, 0.1, 0.1, 0.1, 0.05, 0.0, 0.0, 0.0, 0.0 ], "prediction": { "recommended_solver": "cp_sat", "recommended_config": { "time_limit_sec": 10, "num_search_workers": 4, "presolve": true, "search_branching": "automatic", "heuristic_frequency": 0.5 }, "confidence": 0.674, "predicted_runtime_sec": 0.257, "predicted_gap_pct": 3.125, "feasible_probability": 0.92, "rationale": "Assignment (small): 25 variables, 10 constraints | Structure: binary=100%, integer=100%, tightness=0.50 | Top pick: OR-Tools CP-SAT (score=1.360, pred gap=3.1%, feasible=92%) | Runner-up: MiniZinc (\u0394=0.070)", "rankings": [ { "solver_id": "cp_sat", "score": 1.3603, "predicted_runtime_sec": 0.257, "predicted_gap_pct": 3.125, "feasible_probability": 0.92, "config": { "time_limit_sec": 10, "num_search_workers": 4, "presolve": true, "search_branching": "automatic", "heuristic_frequency": 0.5 } }, { "solver_id": "minizinc", "score": 1.2904, "predicted_runtime_sec": 0.367, "predicted_gap_pct": 3.5, "feasible_probability": 0.88, "config": { "time_limit_sec": 10, "solver": "chuffed", "neighborhood_size": 12 } }, { "solver_id": "alns", "score": 1.0299, "predicted_runtime_sec": 0.279, "predicted_gap_pct": 4.375, "feasible_probability": 0.89, "config": { "time_limit_sec": 10, "neighborhood_size": 24, "destroy_pct": 0.3, "initial_solution": "greedy" } }, { "solver_id": "gurobi", "score": 1.0146, "predicted_runtime_sec": 0.22, "predicted_gap_pct": 1.5, "feasible_probability": 0.94, "config": { "time_limit_sec": 10, "Presolve": 2, "MIPFocus": 1, "Heuristics": 0.25, "Threads": 4 } }, { "solver_id": "scip", "score": 0.921, "predicted_runtime_sec": 0.353, "predicted_gap_pct": 2.5, "feasible_probability": 0.91, "config": { "time_limit_sec": 10, "presolving": true, "separating": true, "heuristics": true, "threads": 4 } }, { "solver_id": "highs", "score": 0.8817, "predicted_runtime_sec": 0.309, "predicted_gap_pct": 2.25, "feasible_probability": 0.9, "config": { "time_limit_sec": 10, "presolve": "on", "threads": 4, "mip_rel_gap": 0.01, "cut_strategy": "aggressive" } }, { "solver_id": "cbc", "score": 0.8558, "predicted_runtime_sec": 0.404, "predicted_gap_pct": 4.0, "feasible_probability": 0.86, "config": { "time_limit_sec": 10, "presolve": "on", "cuts": "on", "heuristics": "on", "threads": 2 } }, { "solver_id": "glpk", "score": 0.6863, "predicted_runtime_sec": 0.456, "predicted_gap_pct": 5.625, "feasible_probability": 0.78, "config": { "time_limit_sec": 10, "presolve": true, "mip_gap": 0.02 } } ] } }