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| 決定版線形計画法× | 決定論的動的計画法× | |
|---|---|---|
| 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≠ | 1947 | 1957 |
| 提唱者≠ | George B. Dantzig | Richard E. Bellman |
| 種類≠ | Deterministic mathematical optimization | Exact sequential optimization algorithm |
| 原典≠ | Dantzig, G. B. (1963). Linear Programming and Extensions. Princeton University Press, Princeton, NJ. ISBN: 9780691059136 | Bellman, R. E. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780691079516 |
| 別名 | Classical LP, Deterministic LP, DLP, Linear Optimization | DDP, Deterministic DP, Classical Dynamic Programming, Bellman Dynamic Programming |
| 関連≠ | 5 | 6 |
| 概要≠ | Deterministic Linear Programming (DLP) is the classical form of linear programming in which all objective function coefficients, constraint coefficients, and right-hand-side values are known with certainty. It finds the optimal allocation of resources to maximize or minimize a linear objective subject to linear constraints, providing an exact, reproducible solution under fixed, certain data. | Deterministic Dynamic Programming (DDP) is a mathematical optimization technique that decomposes a multi-stage decision problem into a sequence of simpler subproblems, solving them exactly when all system parameters — transition functions, costs, and rewards — are known with certainty. It guarantees a globally optimal policy via Bellman's principle of optimality. |
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