We propose two algorithms achieving generalized arc consistency for the soft global cardinality constraint with variable-based violation and with value-based violation. They are based on graph theory and their complexity is O(√nm) where n is the number of variables and m is the sum of the cardinalities of the domains. They improve previous algorithms that ran respectively in O(n(m + n log n)) and O((n + k)(m + n log n)) where k is the cardinality of the union of the domains.

Improved algorithm for the soft global cardinality constraint

MILANO, MICHELA;
2006

Abstract

We propose two algorithms achieving generalized arc consistency for the soft global cardinality constraint with variable-based violation and with value-based violation. They are based on graph theory and their complexity is O(√nm) where n is the number of variables and m is the sum of the cardinalities of the domains. They improve previous algorithms that ran respectively in O(n(m + n log n)) and O((n + k)(m + n log n)) where k is the cardinality of the union of the domains.
2006
Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems
288
300
A. Zanarini; M. Milano; G. Pesant
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/29363
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