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Branch and Bound×Programmation par Contraintes×
DomaineOptimisationOptimisation
FamilleProcess / pipelineProcess / pipeline
Année d'origine19602006
Auteur d'origineAilsa Land & Alison DoigRossi, van Beek & Walsh
TypeExact combinatorial optimization algorithmDeclarative combinatorial optimization
Source fondatriceLand, A. H., & Doig, A. G. (1960). An automatic method of solving discrete programming problems. Econometrica, 28(3), 497–520. DOI ↗Rossi, F., van Beek, P., & Walsh, T. (Eds.). (2006). Handbook of Constraint Programming. Elsevier. ISBN: 978-0-444-52726-4
AliasB&B, Land-Doig Algorithm, Implicit Enumeration, Dal ve SınırConstraint Satisfaction Programming, Constraint-Based Optimization, Kısıt Programlama, CSP Optimization
Apparentées33
RésuméBranch and Bound is a systematic exact algorithm for combinatorial and integer optimization problems, introduced by Ailsa Land and Alison Doig in 1960. It organizes the search space as a tree of subproblems, uses relaxation-derived upper bounds to prune branches that cannot improve the best known solution, and guarantees finding a globally optimal integer solution. It is the backbone of modern mixed-integer programming solvers used in operations research, logistics, scheduling, and engineering design.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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ScholarGateComparer des méthodes: Branch and Bound · Constraint Programming. Consulté le 2026-06-17 sur https://scholargate.app/fr/compare