# American Institute of Mathematical Sciences

April  2008, 4(2): 353-362. doi: 10.3934/jimo.2008.4.353

## A filled function method for constrained nonlinear integer programming

 1 Department of Mathematics, Shanghai University, Shanghai 200444, China 2 School of Information Technology and Mathematical Sciences, University of Ballarat, Victoria 3353, Australia 3 School of Information Technology and Mathematical Sciencess, University of Ballarat, Ballarat, Victoria 3353, Australia

Received  September 2006 Revised  January 2008 Published  April 2008

A filled function method is presented in this paper to solve constrained nonlinear integer programming problems. It is shown that for a given non-global local minimizer, a better local minimizer can be obtained by local search staring from an improved initial point which is obtained by locally solving a box-constrained integer programming problem. Several illustrative numerical examples are reported to show the efficiency of the present method.
Citation: Yongjian Yang, Zhiyou Wu, Fusheng Bai. A filled function method for constrained nonlinear integer programming. Journal of Industrial & Management Optimization, 2008, 4 (2) : 353-362. doi: 10.3934/jimo.2008.4.353
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