A new discrete filled function algorithm for discrete global optimization

  • Authors:
  • Yang Yongjian;Liang Yumei

  • Affiliations:
  • Department of Mathematics, Shanghai University, Shanghai 200444, China;Department of Mathematics, Shanghai University, Shanghai 200444, China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2007

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Abstract

A definition of the discrete filled function is given in this paper. Based on the definition, a discrete filled function is proposed. Theoretical properties of the proposed discrete filled function are investigated, and an algorithm for discrete global optimization is developed from the new discrete filled function. The implementation of the algorithms on several test problems is reported with satisfactory numerical results.