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برنامه‌ریزی محدودیت (Constraint Programming)×برنامه‌ریزی پویا×برنامه‌ریزی هدف×
حوزهبهینه‌سازیبهینه‌سازیتصمیم‌گیری
خانوادهProcess / pipelineProcess / pipelineMCDM
سال پیدایش200619571955
پدیدآورRossi, van Beek & WalshRichard BellmanCharnes, A., Cooper, W. W.
نوعDeclarative combinatorial optimizationExact combinatorial optimization via recursive decompositionMulti-objective optimisation — weighted/lexicographic goal deviation minimisation
منبع بنیادینRossi, F., van Beek, P., & Walsh, T. (Eds.). (2006). Handbook of Constraint Programming. Elsevier. ISBN: 978-0-444-52726-4Bellman, R. (1957). Dynamic Programming. Princeton University Press. ISBN: 978-0-691-07951-6Charnes, A., Cooper, W. W. (1955). Optimal estimation of executive compensation by linear programming. Management Science DOI ↗
نام‌های دیگرConstraint Satisfaction Programming, Constraint-Based Optimization, Kısıt Programlama, CSP OptimizationDP, Bellman's Principle of Optimality, Recursive Optimization, Dinamik Programlama
مرتبط338
خلاصهConstraint 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.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.GOAL-PROGRAMMING (Goal Programming — Minimise deviations from multiple aspiration levels) is a ranking multi-criteria decision-making (MCDM) method introduced by Charnes, A., Cooper, W. W. in 1955. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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ScholarGateمقایسهٔ روش‌ها: Constraint Programming · Dynamic Programming · GOAL-PROGRAMMING. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare