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Abstract

The symmetric cardinality constraint is described in terms of a set of variables X={x 1,...,x k }, which take their values as subsets of values V={v 1,...,v n }. It constraints the cardinality of the set assigned to each variable to be in an interval [l x i ,c x i ] and at the same time it restricts the number of occurrences of each value v j inV in the sets assigned to variables in X to be in an other interval [l v j ,c v j ]. In this paper we introduce the symmetric cardinality constraint and define set constraint satisfaction problem as a framework for dealing with this type of constraints. Moreover, we present effective filtering methods for the symmetric cardinality constraint.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Waldemar Kocjan
    • 1
  • Per Kreuger
    • 2
  1. 1.Mälardalen UniversityVästeråsSweden
  2. 2.Swedish Institute Of Computer ScienceKistaSweden

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