B. M. Smith

  1. Dual Modelling of Permutation and Injection Problems.

    Authors: T. Walsh, B. Hnich, B. M. Smith
    Subjects: Artificial Intelligence
    Abstract

    When writing a constraint program, we have to choose which variables should
    be the decision variables, and how to represent the constraints on these
    variables. In many cases, there is considerable choice for the decision
    variables. Consider, for example, permutation problems in which we have as many
    values as variables, and each variable takes an unique value. In such problems,
    we can choose between a primal and a dual viewpoint. In the dual viewpoint,
    each dual variable represents one of the primal values, whilst each dual value
    represents one of the primal variables.

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