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随机整数规划×随机线性规划×
领域仿真仿真
方法族Process / pipelineProcess / pipeline
起源年份19551955
提出者Dantzig, G. B.; Beale, E. M. L.George B. Dantzig
类型Optimization under uncertainty with discrete decisionsStochastic optimization model
开创性文献Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer, New York. ISBN: 978-1-4614-0237-4Dantzig, G. B., & Madansky, A. (1961). On the solution of two-stage linear programs under uncertainty. Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, 1, 165–176. link ↗
别名SIP, Stochastic IP, Integer Stochastic Programming, Mixed-Integer Stochastic ProgrammingSLP, Stochastic LP, Linear Programming under Uncertainty, Two-Stage SLP
相关65
摘要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 Linear Programming (SLP) extends classical linear programming to settings where some model parameters — costs, demands, resource availability — are uncertain and modeled as random variables. By optimizing expected costs over a probability distribution of scenarios, SLP produces decisions that remain feasible and near-optimal across a range of possible futures rather than for a single assumed state of the world.
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  3. PUBLISHED

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ScholarGate方法对比: Stochastic Integer Programming · Stochastic Linear Programming. 于 2026-06-15 检索自 https://scholargate.app/zh/compare