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Erschienen in:
2004 | OriginalPaper | Buchkapitel
A Hyper-arc Consistency Algorithm for the Soft Alldifferent Constraint
verfasst von : Willem Jan van Hoeve
Erschienen in: Principles and Practice of Constraint Programming – CP 2004
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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This paper presents an algorithm that achieves hyper-arc consistency for the soft alldifferent constraint. To this end, we prove and exploit the equivalence with a minimum-cost flow problem. Consistency of the constraint can be checked in O(nm) time, and hyper-arc consistency is achieved in O(m) time, where n is the number of variables involved and m is the sum of the cardinalities of the domains. It improves a previous method that did not ensure hyper-arc consistency.