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برنامه‌ریزی عدد صحیح تصادفی×برنامه‌ریزی عدد صحیح مختلط×
حوزهشبیه‌سازیشبیه‌سازی
خانوادهProcess / pipelineProcess / pipeline
سال پیدایش19551958–1960
پدیدآورDantzig, G. B.; Beale, E. M. L.Ralph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960)
نوعOptimization under uncertainty with discrete decisionsMathematical optimization
منبع بنیادینBirge, 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
نام‌های دیگرSIP, Stochastic IP, Integer Stochastic Programming, Mixed-Integer Stochastic ProgrammingMIP, Mixed-Integer Linear Programming, MILP, Integer Programming
مرتبط66
خلاصهStochastic 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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ScholarGateمقایسهٔ روش‌ها: Stochastic Integer Programming · Mixed-Integer Programming. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare