قارن الطرق

	البرمجة الصحيحة العشوائية	البرمجة الصحيحة القوية
المجال	المحاكاة	المحاكاة
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1955	2003
صاحب الطريقة	Dantzig, G. B.; Beale, E. M. L.	Bertsimas, D. and Sim, M.
النوع	Optimization under uncertainty with discrete decisions	Deterministic robust optimization with integer variables
المصدر التأسيسي	Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer, New York. ISBN: 978-1-4614-0237-4	Bertsimas, D., Sim, M. (2003). Robust discrete optimization and network flows. Mathematical Programming, 98(1-3), 49-71.
الأسماء البديلة	SIP, Stochastic IP, Integer Stochastic Programming, Mixed-Integer Stochastic Programming	RIP, Robust IP, Robust Combinatorial Optimization, Integer Robust Optimization
ذات صلة	6	6
الملخص	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.	Robust Integer Programming (RIP) finds integer or binary solutions that remain feasible and near-optimal across all scenarios in a prescribed uncertainty set. Rather than assuming exact knowledge of data, RIP hedges against the worst-case realization of uncertain costs or constraint coefficients, delivering decisions that are guaranteed to perform well even when inputs deviate from their nominal values.