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| Programowanie stochastyczne dynamiczne× | Programowanie dynamiczne× | |
|---|---|---|
| Dziedzina≠ | Symulacja | Optymalizacja |
| Rodzina | Process / pipeline | Process / pipeline |
| Rok powstania | 1957 | 1957 |
| Twórca≠ | Bellman, R.; formalized for stochastic settings by Puterman, M. L. | Richard Bellman |
| Typ≠ | Sequential optimization under uncertainty | Exact combinatorial optimization via recursive decomposition |
| Źródło pierwotne≠ | Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780486428093 | Bellman, R. (1957). Dynamic Programming. Princeton University Press. ISBN: 978-0-691-07951-6 |
| Inne nazwy | SDP, Markov Decision Process, MDP, Stochastic DP | DP, Bellman's Principle of Optimality, Recursive Optimization, Dinamik Programlama |
| Pokrewne≠ | 6 | 3 |
| Podsumowanie≠ | 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. | Dynamic Programming (DP) is an exact optimization technique introduced by Richard Bellman in 1957 for solving multi-stage decision problems. It decomposes a complex problem into simpler, overlapping subproblems, solves each subproblem once, and stores the results to avoid redundant computation. Grounded in the Principle of Optimality, DP guarantees globally optimal solutions whenever the problem exhibits overlapping subproblems and optimal substructure. |
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