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Pemrograman Kendala×Pemrograman Dinamis×Pemrograman Integer×
BidangOptimasiOptimasiOptimasi
KeluargaProcess / pipelineProcess / pipelineProcess / pipeline
Tahun asal200619571958
PencetusRossi, van Beek & WalshRichard BellmanRalph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960)
TipeDeclarative combinatorial optimizationExact combinatorial optimization via recursive decompositionMathematical optimisation — exact combinatorial method
Sumber perintisRossi, 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: 978-0-691-07951-6Wolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669
AliasConstraint Satisfaction Programming, Constraint-Based Optimization, Kısıt Programlama, CSP OptimizationDP, Bellman's Principle of Optimality, Recursive Optimization, Dinamik ProgramlamaIP, MIP, mixed-integer programming, mixed-integer linear programming
Terkait334
RingkasanConstraint 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.Integer programming (IP), also called mixed-integer programming (MIP) when only some variables are restricted to whole numbers, is a branch of mathematical optimisation in which some or all decision variables must take integer or binary values. Building on linear programming, it was formalised through Ralph Gomory's cutting-plane method (1958) and the Land-and-Doig branch-and-bound algorithm (1960), and it has since become the standard exact framework for scheduling, assignment, routing, and resource-allocation problems.
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ScholarGateBandingkan metode: Constraint Programming · Dynamic Programming · Integer Programming. Diakses 2026-06-15 dari https://scholargate.app/id/compare