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حوزهشبیه‌سازیشبیه‌سازی
خانوادهProcess / pipelineProcess / pipeline
سال پیدایش19551957
پدیدآورDantzig, G. B.; Beale, E. M. L.Bellman, R.; formalized for stochastic settings by Puterman, M. L.
نوعOptimization under uncertainty with discrete decisionsSequential optimization under uncertainty
منبع بنیادینBirge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer, New York. ISBN: 978-1-4614-0237-4Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780486428093
نام‌های دیگرSIP, Stochastic IP, Integer Stochastic Programming, Mixed-Integer Stochastic ProgrammingSDP, Markov Decision Process, MDP, Stochastic DP
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.Stochastic Dynamic Programming (SDP) is a mathematical optimization framework for sequential decision problems where outcomes are partly random. It extends Bellman's principle of optimality to stochastic environments, representing problems as Markov Decision Processes (MDPs) and computing optimal policies by solving recursive value equations over states and time periods.
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ScholarGateمقایسهٔ روش‌ها: Stochastic Integer Programming · Stochastic Dynamic Programming. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare