A New Nonparametric Filled Function Method for Integer Programming Problems with Constraints

Suxia Ma, Yuelin Gao, Bo Zhang and Wenlu Zuo
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Suxia Ma: School of Mathematics and Information Sciences, North Minzu University, Yinchuan 750021, China
Yuelin Gao: Ningxia Province Cooperative Innovation Center of Scientific Computing and Intelligent Information Processing, North Minzu University, Yinchuan 750021, China
Bo Zhang: School of Mathematics and Statistics, Ningxia University, Yinchuan 750021, China
Wenlu Zuo: School of Mathematics and Information Sciences, North Minzu University, Yinchuan 750021, China

Mathematics, 2022, vol. 10, issue 5, 1-16

Abstract: In this paper, we investigate and develop a new filled function method for solving integer programming problems with constraints. By adopting the appropriate equivalent transformation method, these problems are transformed into a class of box-constrained integer programming problems. Then, an effective nonparametric filled function is constructed, and a new global optimization algorithm is designed using the discrete steepest descent method. Numerical experiments illustrate that this algorithm has effectiveness, feasibility, and better global optimization ability.

Keywords: discrete global optimization; constrained integer program; nonparametric filled function method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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