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Symmetric Cardinality Constraints

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Licentiate Thesis


Abstract

This thesis contains previously published papers concerning different aspects of symmetric cardinality constraints. A symmetric cardinality constraint generalizes cardinality constraints like constraint of difference and global cardinality constraint. The algorithms formulating the basis for consistency checking and filtering of a symmetric cardinality constraint can be successfully used to model and solve several other problems like cardinality matrix problems, Latin square problems and rostering problems. This thesis begins with an introduction to constraint satisfaction and describe several problems, mainly dynamic scheduling problems, which can be modeled using this framework. The two following papers introduce symmetric cardinality constraint and its weighted version. They also provide methods for computing their consistency and algorithms for filtering their domains. Finally, the last paper describes methods for maintaining consistency of a symmetric cardinality constraint with costs, in the context of dynamic constraint satisfaction.

Bibtex

@misc{Kocjan907,
author = {Waldemar Kocjan},
title = {Symmetric Cardinality Constraints},
number = {59},
month = {December},
year = {2005},
url = {http://www.es.mdh.se/publications/907-}
}