手法を比較

	確率的整数計画法	確率的多目的最適化
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	1955	1990s–2000s
提唱者	Dantzig, G. B.; Beale, E. M. L.	Various (Fonseca, Fleming, Deb, Zitzler, and others)
種類	Optimization under uncertainty with discrete decisions	Stochastic metaheuristic optimization
原典	Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer, New York. ISBN: 978-1-4614-0237-4	Deb, K. (2001). Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, Chichester. ISBN: 9780471873396
別名	SIP, Stochastic IP, Integer Stochastic Programming, Mixed-Integer Stochastic Programming	SMOO, Stochastic MOO, Multi-objective optimization under uncertainty, Robust multi-objective optimization
関連	6	5
概要	Stochastic Integer Programming (SIP) is an optimization framework that combines integer (discrete) decision variables with explicit probabilistic modeling of uncertainty. It seeks the best here-and-now decision that minimizes expected cost (or maximizes expected benefit) across a distribution of future scenarios, accounting for the fact that some decisions must be made before uncertainty is resolved.	Stochastic Multi-Objective Optimization (SMOO) is a class of methods that simultaneously optimizes two or more conflicting objectives when parameters, costs, or constraints are uncertain or random. Rather than a single optimal solution, it produces a Pareto front of non-dominated solutions, each representing a different balance among objectives under the modeled uncertainty.