Among, Common and Disjoint Constraints
Identifieur interne : 009840 ( Main/Exploration ); précédent : 009839; suivant : 009841Among, Common and Disjoint Constraints
Auteurs : Christian Bessiere [France] ; Emmanuel Hebrard [Australie] ; Brahim Hnich [Turquie] ; Zeynep Kiziltan [Italie] ; Toby Walsh [Australie]Source :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 2006.
English descriptors
- KwdEn :
- Aaai press, Algorithm, Alldifferent constraint, Bessiere, Cardinality, Common constraint, Computational complexity, Constraint, Constraint propagation, Disjoint, Disjoint constraint, Disjoint constraints, Foreach, Global constraints, Hybrid, Hybrid support, Inlb, Integer, Integer variables, Lower bounds, Polynomial algorithm, Polynomial time, Propagation algorithm, Prune, Resp, Satisfying assignment, Second category, Special case, Tractable, Upper bounds.
- Teeft :
- Aaai press, Algorithm, Alldifferent constraint, Bessiere, Cardinality, Common constraint, Computational complexity, Constraint, Constraint propagation, Disjoint, Disjoint constraint, Disjoint constraints, Foreach, Global constraints, Hybrid, Hybrid support, Inlb, Integer, Integer variables, Lower bounds, Polynomial algorithm, Polynomial time, Propagation algorithm, Prune, Resp, Satisfying assignment, Second category, Special case, Tractable, Upper bounds.
Abstract
Abstract: Among, Common and Disjoint are global constraints useful in modelling problems involving resources. We study a number of variations of these constraints over integer and set variables. We show how computational complexity can be used to determine whether achieving the highest level of consistency is tractable. For tractable constraints, we present a polynomial propagation algorithm and compare it to logical decompositions with respect to the amount of constraint propagation. For intractable cases, we show in many cases that a propagation algorithm can be adapted from a propagation algorithm of a similar tractable one.
Url:
DOI: 10.1007/11754602_3
Affiliations:
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Le document en format XML
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<front><div type="abstract" xml:lang="en">Abstract: Among, Common and Disjoint are global constraints useful in modelling problems involving resources. We study a number of variations of these constraints over integer and set variables. We show how computational complexity can be used to determine whether achieving the highest level of consistency is tractable. For tractable constraints, we present a polynomial propagation algorithm and compare it to logical decompositions with respect to the amount of constraint propagation. For intractable cases, we show in many cases that a propagation algorithm can be adapted from a propagation algorithm of a similar tractable one.</div>
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