手法を比較

	ロバスト混合整数計画法	ロバスト線形計画法
分野	シミュレーション	シミュレーション
系統	Process / pipeline	Process / pipeline
提唱年	1998–2004	1999–2004
提唱者	Ben-Tal & Nemirovski; Bertsimas & Sim	Ben-Tal, A. and Nemirovski, A.; further developed by Bertsimas, D. and Sim, M.
種類	Deterministic robust reformulation of MIP under uncertainty	Uncertainty-robust linear optimization
原典	Bertsimas, D., Sim, M. (2004). The price of robustness. Operations Research, 52(1), 35–53.	Bertsimas, D., Sim, M. (2004). The price of robustness. Operations Research, 52(1), 35–53.
別名	RMIP, Robust MIP, Uncertain MIP, Robust MILP/MIQP	RLP, Robust LP, Tractable Robust LP, Uncertainty-Set LP
関連	4	5
概要	Robust Mixed-Integer Programming (RMIP) combines mixed-integer programming with robust optimization to find solutions that remain feasible and near-optimal despite uncertain parameters. Instead of assuming fixed data, it protects decisions against adversarial or worst-case realizations of uncertain inputs, using an explicit uncertainty set to control the degree of conservatism while preserving the combinatorial structure of integer decisions.	Robust Linear Programming (RLP) extends classical linear programming to handle uncertainty in problem data — cost coefficients, constraint coefficients, or right-hand sides — by requiring solutions to remain feasible and near-optimal across all realizations of uncertain parameters within a defined uncertainty set. It replaces probabilistic assumptions with worst-case guarantees, making it practical when distributional knowledge is limited.