手法を比較

	ベイズ線形計画法	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	1970s–1980s	1999–2004
提唱者	Integrated from Dantzig (LP) and Zellner/Bayesian econometrics traditions	Ben-Tal, A. and Nemirovski, A.; further developed by Bertsimas, D. and Sim, M.
種類	Optimization under Bayesian uncertainty	Uncertainty-robust linear optimization
原典	Dantzig, G. B. (1963). Linear Programming and Extensions. Princeton University Press, Princeton, NJ. ISBN: 9780691059136	Bertsimas, D., Sim, M. (2004). The price of robustness. Operations Research, 52(1), 35–53.
別名	BLP, Bayesian LP, Bayesian stochastic linear programming, prior-posterior LP	RLP, Robust LP, Tractable Robust LP, Uncertainty-Set LP
関連	6	5
概要	Bayesian Linear Programming (BLP) integrates Bayesian statistical inference with classical linear programming to handle uncertainty in model parameters such as objective function coefficients, constraint coefficients, or right-hand-side values. Instead of treating parameters as fixed or governed by worst-case bounds, BLP uses prior beliefs updated by data to form posterior distributions, which then guide the LP formulation and solution, producing decisions that are optimal in a probabilistic, data-informed sense.	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.