J. Korean Math. Soc. 2011; 48(5): 985-999
Printed September 1, 2011
https://doi.org/10.4134/JKMS.2011.48.5.985
Copyright © The Korean Mathematical Society.
Youjiang Lin and Yongjian Yang
Shanghai University, Shanghai University
A new filled function method is presented in this paper to solve box-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 starting 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.
Keywords: global optimization, filled function method, nonlinear integer programming, local minimizer, global minimizer
MSC numbers: 52A10, 52A40
2010; 47(6): 1253-1267
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