مقایسهٔ روشها
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| برنامهریزی پویا قطعی× | برنامهریزی عدد صحیح مختلط× | |
|---|---|---|
| حوزه | شبیهسازی | شبیهسازی |
| خانواده | Process / pipeline | Process / pipeline |
| سال پیدایش≠ | 1957 | 1958–1960 |
| پدیدآور≠ | Richard E. Bellman | Ralph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960) |
| نوع≠ | Exact sequential optimization algorithm | Mathematical optimization |
| منبع بنیادین≠ | Bellman, R. E. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780691079516 | Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432 |
| نامهای دیگر | DDP, Deterministic DP, Classical Dynamic Programming, Bellman Dynamic Programming | MIP, Mixed-Integer Linear Programming, MILP, Integer Programming |
| مرتبط | 6 | 6 |
| خلاصه≠ | 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. | Mixed-Integer Programming (MIP) is a mathematical optimization framework in which some decision variables must take integer values while others may be continuous. It generalizes linear programming and is widely used in operations research, logistics, scheduling, resource allocation, and engineering design, where indivisibility constraints — such as yes/no decisions or whole-unit quantities — arise naturally. |
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