BIROn - Birkbeck Institutional Research Online

    Constraints of difference and equality: a complete taxonomic characterisation

    Hebrard, E. and Marx, D. and O’Sullivan, B. and Razgon, Igor (2009) Constraints of difference and equality: a complete taxonomic characterisation. In: Gent, I.P. (ed.) Principles and Practice of Constraint Programming - CP 2009. Lecture Notes in Computer Science 5732. Berlin, Germany: Springer Verlag, pp. 424-438. ISBN 9783642042447.

    Full text not available from this repository.

    Abstract

    Many combinatorial problems encountered in practice involve constraints that require that a set of variables take distinct or equal values. The AllDifferent constraint, in particular, ensures that all variables take distinct values. Two soft variants of this constraint were proposed in [4], defined either with respect to a so-called variable or graph-based cost function. When requiring similarity, as opposed to diversity, one can consider the dual definition either for the cost or for the basic constraint itself, that is, AllEqual in our case. Six cost functions can be defined by exploring every combination of these definitions. It is therefore natural to study the complexity of achieving arc consistency and bounds consistency on them. From our earlier work on this topic an open problem remained, namely achieving bounds consistency on the maximisation of the SoftAllDiff constraint when considering the graph-based cost. In this paper we resolve this problem. Therefore, we give a complete taxonomy of constraints of equality and difference, based on the alternative objective functions used for the soft variants.

    Metadata

    Item Type: Book Section
    School: Birkbeck Schools and Departments > School of Business, Economics & Informatics > Computer Science and Information Systems
    Depositing User: Sarah Hall
    Date Deposited: 01 Aug 2013 15:30
    Last Modified: 01 Aug 2013 15:30
    URI: http://eprints.bbk.ac.uk/id/eprint/7920

    Statistics

    Downloads
    Activity Overview
    0Downloads
    117Hits

    Additional statistics are available via IRStats2.

    Archive Staff Only (login required)

    Edit/View Item Edit/View Item