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随机混合整数规划×随机多目标优化×
领域仿真仿真
方法族Process / pipelineProcess / pipeline
起源年份1990s–2000s1990s–2000s
提出者Birge, J. R.; Louveaux, F.; Sen, S.Various (Fonseca, Fleming, Deb, Zitzler, and others)
类型Stochastic optimization modelStochastic metaheuristic optimization
开创性文献Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer Series in Operations Research. New York: Springer. ISBN: 9780387982175Deb, K. (2001). Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, Chichester. ISBN: 9780471873396
别名SMIP, Stochastic MIP, Mixed-Integer Stochastic Programming, SMILPSMOO, Stochastic MOO, Multi-objective optimization under uncertainty, Robust multi-objective optimization
相关55
摘要Stochastic Mixed-Integer Programming (SMIP) is an optimization framework that finds the best mix of binary, integer, and continuous decisions when key parameters — costs, demands, capacities — are uncertain and modeled as probability distributions over a set of scenarios. It extends classical MIP by embedding scenario trees or expected-value objectives that hedge against uncertainty while respecting combinatorial constraints.Stochastic Multi-Objective Optimization (SMOO) is a class of methods that simultaneously optimizes two or more conflicting objectives when parameters, costs, or constraints are uncertain or random. Rather than a single optimal solution, it produces a Pareto front of non-dominated solutions, each representing a different balance among objectives under the modeled uncertainty.
ScholarGate数据集
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  2. 2 来源
  3. PUBLISHED
  1. v1
  2. 2 来源
  3. PUBLISHED

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