{ "method_bias": { "benders": { "block_angularity": 0.35, "n_master_variables": 0.0008, "decomposability_score": 0.4 }, "dantzig_wolfe": { "block_angularity": 0.45, "n_sub_variables": 0.0004, "decomposability_score": 0.35 }, "column_generation": { "n_sub_variables": 0.0006, "constraint_density": -0.2, "decomposability_score": 0.25 }, "lagrangian_relaxation": { "n_coupling_constraints": 0.02, "constraint_density": 0.25 }, "progressive_hedging": { "n_scenarios": 0.12, "block_angularity": 0.2 }, "admm": { "decomposability_score": 0.45, "n_master_variables": 0.0005 }, "direct": { "n_master_variables": -0.001, "n_sub_variables": -0.0003, "decomposability_score": -0.5 } }, "problem_bonus": { "supply_chain": { "benders": 0.35, "lagrangian_relaxation": 0.35, "column_generation": 0.35 }, "multi_factory": { "benders": 0.35, "dantzig_wolfe": 0.35, "admm": 0.35 }, "large_routing": { "column_generation": 0.35, "dantzig_wolfe": 0.35, "lagrangian_relaxation": 0.35 }, "multi_stage_scheduling": { "lagrangian_relaxation": 0.35, "benders": 0.35, "admm": 0.35 }, "energy_planning": { "progressive_hedging": 0.35, "benders": 0.35, "lagrangian_relaxation": 0.35 }, "fleet_allocation": { "admm": 0.35, "progressive_hedging": 0.35, "column_generation": 0.35 }, "network_design": { "benders": 0.35, "admm": 0.35, "column_generation": 0.35 } } }