Metaheuristic downhill simplex method in combinatorial optimization

  • Authors:
  • L. F. Gulyanitskii;I. V. Sergienko

  • Affiliations:
  • V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine;V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

  • Venue:
  • Cybernetics and Systems Analysis
  • Year:
  • 2007

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Abstract

The concept of combinatorial objects is formalized. It allows strict definition of a combinatorial optimization problem (COP). An efficient metaheuristic method to solve COPs (H-method) is considered. It includes stochastic local search algorithms as a built-in procedure. A parallel implementation of the H-method is set forth and analyzed. The results from a numerical experiment and solution of some well-known COPs on personal computers and on the SKIT cluster supercomputer are presented.