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随机整数规划 — 不确定性下离散决策的优化

随机整数规划(Stochastic Integer Programming, SIP)是一种优化框架,它将整数(离散)决策变量与不确定性的显式概率建模相结合。它旨在寻找最佳的“此时此地”决策,以最小化未来情景分布中的预期成本(或最大化预期收益),同时考虑到某些决策必须在不确定性解决之前做出。

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来源

  1. Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer, New York. ISBN: 978-1-4614-0237-4
  2. Kleywegt, A. J., Shapiro, A., & Homem-de-Mello, T. (2002). The sample average approximation method for stochastic discrete optimization. SIAM Journal on Optimization, 12(2), 479-502. DOI: 10.1137/S1052623499363220

如何引用本页

ScholarGate. (2026, June 3). Stochastic Integer Programming (SIP). ScholarGate. https://scholargate.app/zh/simulation/stochastic-integer-programming

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被引用于

ScholarGateStochastic Integer Programming (Stochastic Integer Programming (SIP)). 于 2026-06-15 检索自 https://scholargate.app/zh/simulation/stochastic-integer-programming · 数据集: https://doi.org/10.5281/zenodo.20539026