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| 確率的線形計画法× | 確率的動的計画法× | |
|---|---|---|
| 分野 | シミュレーション | シミュレーション |
| 系統 | Process / pipeline | Process / pipeline |
| 提唱年≠ | 1955 | 1957 |
| 提唱者≠ | George B. Dantzig | Bellman, R.; formalized for stochastic settings by Puterman, M. L. |
| 種類≠ | Stochastic optimization model | Sequential optimization under uncertainty |
| 原典≠ | 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 ↗ | Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780486428093 |
| 別名 | SLP, Stochastic LP, Linear Programming under Uncertainty, Two-Stage SLP | SDP, Markov Decision Process, MDP, Stochastic DP |
| 関連≠ | 5 | 6 |
| 概要≠ | 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. | 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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