مقایسهٔ روشها
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| برنامهریزی پویا× | برنامهریزی محدودیت (Constraint Programming)× | |
|---|---|---|
| حوزه | بهینهسازی | بهینهسازی |
| خانواده | Process / pipeline | Process / pipeline |
| سال پیدایش≠ | 1957 | 2006 |
| پدیدآور≠ | Richard Bellman | Rossi, van Beek & Walsh |
| نوع≠ | Exact combinatorial optimization via recursive decomposition | Declarative combinatorial optimization |
| منبع بنیادین≠ | Bellman, R. (1957). Dynamic Programming. Princeton University Press. ISBN: 978-0-691-07951-6 | Rossi, F., van Beek, P., & Walsh, T. (Eds.). (2006). Handbook of Constraint Programming. Elsevier. ISBN: 978-0-444-52726-4 |
| نامهای دیگر | DP, Bellman's Principle of Optimality, Recursive Optimization, Dinamik Programlama | Constraint Satisfaction Programming, Constraint-Based Optimization, Kısıt Programlama, CSP Optimization |
| مرتبط | 3 | 3 |
| خلاصه≠ | 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. | Constraint Programming (CP) is a declarative optimization paradigm in which a problem is formulated as a set of variables, finite domains, and constraints, and a solver systematically searches for assignments that satisfy all constraints. Formalized comprehensively by Rossi, van Beek, and Walsh in their 2006 Handbook of Constraint Programming, CP unifies propagation-based pruning with intelligent backtracking search to tackle combinatorial problems across scheduling, planning, and configuration domains. |
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