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Constraint-Programmierung×Dynamische Programmierung×Zielprogrammierung×Lineare Programmierung×
FachgebietOptimierungOptimierungEntscheidungsfindungOptimierung
FamilieProcess / pipelineProcess / pipelineMCDMProcess / pipeline
Entstehungsjahr2006195719551947
UrheberRossi, van Beek & WalshRichard BellmanCharnes, A., Cooper, W. W.George B. Dantzig
TypDeclarative combinatorial optimizationExact combinatorial optimization via recursive decompositionMulti-objective optimisation — weighted/lexicographic goal deviation minimisationMathematical programming / continuous optimization
Wegweisende QuelleRossi, 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 ↗Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136
AliasnamenConstraint Satisfaction Programming, Constraint-Based Optimization, Kısıt Programlama, CSP OptimizationDP, Bellman's Principle of Optimality, Recursive Optimization, Dinamik ProgramlamaLP, linear optimization, Doğrusal Programlama (LP)
Verwandt3384
ZusammenfassungConstraint 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.Linear programming (LP), pioneered by George B. Dantzig in 1947, is a mathematical method for finding the best value of a linear objective function — such as minimum cost or maximum profit — subject to a set of linear inequality and equality constraints. It is the foundational technique in operations research and underlies production planning, resource allocation, logistics, diet problems, and countless other decision-making scenarios across engineering, economics, and the natural sciences.
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ScholarGateMethoden vergleichen: Constraint Programming · Dynamic Programming · GOAL-PROGRAMMING · Linear Programming. Abgerufen am 2026-06-15 von https://scholargate.app/de/compare