Operations Research Transactions ›› 2020, Vol. 24 ›› Issue (4): 63-73.doi: 10.15960/j.cnki.issn.1007-6093.2020.04.005

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Non-parameter filled function method for nonlinear integer programming

ZHAO Dan1,2, GAO Yuelin1,2,3,*   

  1. 1. School of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China;
    2. Ningxia Collaborative Innovation Center of Scientific Computing and Intelligent Information Processing, Yinchuan 750021, China;
    3. Ningxia Province Key Laboratory of Intelligent Information and Data Processing, Yinchuan 750021, China
  • Received:2019-01-11 Published:2020-11-18

Abstract: In this paper, we proposed a new non-parameter filled function method to solve unconstrained nonlinear integer programming. The filled function we constructed has the same local minimizer with the original objective function, so the computation cost is greatly reduced and the efficiency is improved. In this paper, the numerical experiments of six test functions are carried out, and the results show that the algorithm is effective and feasible.

Key words: global optimization, filled function method, nonlinear integer programming

CLC Number: