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동적 계획법×제약 프로그래밍×
분야최적화최적화
계열Process / pipelineProcess / pipeline
기원 연도19572006
창시자Richard BellmanRossi, van Beek & Walsh
유형Exact combinatorial optimization via recursive decompositionDeclarative combinatorial optimization
원전Bellman, R. (1957). Dynamic Programming. Princeton University Press. ISBN: 978-0-691-07951-6Rossi, F., van Beek, P., & Walsh, T. (Eds.). (2006). Handbook of Constraint Programming. Elsevier. ISBN: 978-0-444-52726-4
별칭DP, Bellman's Principle of Optimality, Recursive Optimization, Dinamik ProgramlamaConstraint Satisfaction Programming, Constraint-Based Optimization, Kısıt Programlama, CSP Optimization
관련33
요약Dynamic 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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