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Local search with a generalized neighborhood in the optimization problem for pseudo-Boolean functions

  • V. L. Beresnev
  • E. N. Goncharov
  • A. A. Mel’nikov
Article

Abstract

In the optimization problem for pseudo-Boolean functions we consider a local search algorithm with a generalized neighborhood. This neighborhood is constructed for a locally optimal solution and includes nearby locally optimal solutions. We present some results of simulations for pseudo-Boolean functions whose optimization is equivalent to the problems of facility location, set covering, and competitive facility location. The goal of these experiments is to obtain a comparative estimate for the locally optimal solutions found by the standard local search algorithm and the local search algorithm using a generalized neighborhood.

Keywords

optimization locally optimal solution pseudo-Boolean function facility location problem covering problem 

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Copyright information

© Pleiades Publishing, Ltd. 2012

Authors and Affiliations

  • V. L. Beresnev
    • 1
  • E. N. Goncharov
    • 1
  • A. A. Mel’nikov
    • 1
  1. 1.Sobolev Institute of MathematicsNovosibirskRussia

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