方法对比
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| 随机混合整数规划× | 随机动态规划× | |
|---|---|---|
| 领域 | 仿真 | 仿真 |
| 方法族 | Process / pipeline | Process / pipeline |
| 起源年份≠ | 1990s–2000s | 1957 |
| 提出者≠ | Birge, J. R.; Louveaux, F.; Sen, S. | Bellman, R.; formalized for stochastic settings by Puterman, M. L. |
| 类型≠ | Stochastic optimization model | Sequential optimization under uncertainty |
| 开创性文献≠ | Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer Series in Operations Research. New York: Springer. ISBN: 9780387982175 | Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780486428093 |
| 别名 | SMIP, Stochastic MIP, Mixed-Integer Stochastic Programming, SMILP | SDP, Markov Decision Process, MDP, Stochastic DP |
| 相关≠ | 5 | 6 |
| 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 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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