Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Metoda Větve a mezí (Branch and Bound)× | Dynamické programování× | |
|---|---|---|
| Obor | Optimalizace | Optimalizace |
| Rodina | Process / pipeline | Process / pipeline |
| Rok vzniku≠ | 1960 | 1957 |
| Tvůrce≠ | Ailsa Land & Alison Doig | Richard Bellman |
| Typ≠ | Exact combinatorial optimization algorithm | Exact combinatorial optimization via recursive decomposition |
| Původní zdroj≠ | Land, A. H., & Doig, A. G. (1960). An automatic method of solving discrete programming problems. Econometrica, 28(3), 497–520. DOI ↗ | Bellman, R. (1957). Dynamic Programming. Princeton University Press. ISBN: 978-0-691-07951-6 |
| Další názvy | B&B, Land-Doig Algorithm, Implicit Enumeration, Dal ve Sınır | DP, Bellman's Principle of Optimality, Recursive Optimization, Dinamik Programlama |
| Příbuzné | 3 | 3 |
| Shrnutí≠ | Branch and Bound is a systematic exact algorithm for combinatorial and integer optimization problems, introduced by Ailsa Land and Alison Doig in 1960. It organizes the search space as a tree of subproblems, uses relaxation-derived upper bounds to prune branches that cannot improve the best known solution, and guarantees finding a globally optimal integer solution. It is the backbone of modern mixed-integer programming solvers used in operations research, logistics, scheduling, and engineering design. | 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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