方法对比
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| 随机动态规划× | 随机线性规划× | |
|---|---|---|
| 领域 | 仿真 | 仿真 |
| 方法族 | Process / pipeline | Process / pipeline |
| 起源年份≠ | 1957 | 1955 |
| 提出者≠ | Bellman, R.; formalized for stochastic settings by Puterman, M. L. | George B. Dantzig |
| 类型≠ | Sequential optimization under uncertainty | Stochastic optimization model |
| 开创性文献≠ | Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780486428093 | Dantzig, 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 | SDP, Markov Decision Process, MDP, Stochastic DP | SLP, Stochastic LP, Linear Programming under Uncertainty, Two-Stage SLP |
| 相关≠ | 6 | 5 |
| 摘要≠ | 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. | 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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