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البرمجة الصحيحة العشوائية×البرمجة الصحيحة المختلطة×
المجالالمحاكاةالمحاكاة
العائلةProcess / pipelineProcess / pipeline
سنة النشأة19551958–1960
صاحب الطريقةDantzig, G. B.; Beale, E. M. L.Ralph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960)
النوعOptimization under uncertainty with discrete decisionsMathematical optimization
المصدر التأسيسيBirge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer, New York. ISBN: 978-1-4614-0237-4Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432
الأسماء البديلةSIP, Stochastic IP, Integer Stochastic Programming, Mixed-Integer Stochastic ProgrammingMIP, Mixed-Integer Linear Programming, MILP, Integer Programming
ذات صلة66
الملخصStochastic 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.Mixed-Integer Programming (MIP) is a mathematical optimization framework in which some decision variables must take integer values while others may be continuous. It generalizes linear programming and is widely used in operations research, logistics, scheduling, resource allocation, and engineering design, where indivisibility constraints — such as yes/no decisions or whole-unit quantities — arise naturally.
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ScholarGateقارن الطرق: Stochastic Integer Programming · Mixed-Integer Programming. استُرجع بتاريخ 2026-06-15 من https://scholargate.app/ar/compare