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Volume 17, Issue 2
Nonlinear Integer Programming and Global Optimization

Lian-Sheng Zhang, Feng Gao & Wen-Xing Zhu

J. Comp. Math., 17 (1999), pp. 179-190.

Published online: 1999-04

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  • Abstract

Various approaches have been developed for solving a variety of continuous global optimization problems. But up to now, less work has been devoted to solving nonlinear integer programming problems due to the inherent difficulty. This paper manages to transform the general nonlinear integer programming problem into an "equivalent" special continuous global minimization problem. Thus any effective global optimization algorithm can be used to solve nonlinear integer programming problems. This result will also promote the research on global optimization. We present an interval Branch-and-Bound algorithm. Numerical experiments show that this approach is efficient.  

  • Keywords

Integer programming, Global minimization problem, Branch-bound algorithm.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-179, author = {Zhang , Lian-ShengGao , Feng and Zhu , Wen-Xing}, title = {Nonlinear Integer Programming and Global Optimization}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {2}, pages = {179--190}, abstract = {

Various approaches have been developed for solving a variety of continuous global optimization problems. But up to now, less work has been devoted to solving nonlinear integer programming problems due to the inherent difficulty. This paper manages to transform the general nonlinear integer programming problem into an "equivalent" special continuous global minimization problem. Thus any effective global optimization algorithm can be used to solve nonlinear integer programming problems. This result will also promote the research on global optimization. We present an interval Branch-and-Bound algorithm. Numerical experiments show that this approach is efficient.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9092.html} }
TY - JOUR T1 - Nonlinear Integer Programming and Global Optimization AU - Zhang , Lian-Sheng AU - Gao , Feng AU - Zhu , Wen-Xing JO - Journal of Computational Mathematics VL - 2 SP - 179 EP - 190 PY - 1999 DA - 1999/04 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9092.html KW - Integer programming, Global minimization problem, Branch-bound algorithm. AB -

Various approaches have been developed for solving a variety of continuous global optimization problems. But up to now, less work has been devoted to solving nonlinear integer programming problems due to the inherent difficulty. This paper manages to transform the general nonlinear integer programming problem into an "equivalent" special continuous global minimization problem. Thus any effective global optimization algorithm can be used to solve nonlinear integer programming problems. This result will also promote the research on global optimization. We present an interval Branch-and-Bound algorithm. Numerical experiments show that this approach is efficient.  

Zhang , Lian-ShengGao , Feng and Zhu , Wen-Xing. (1999). Nonlinear Integer Programming and Global Optimization. Journal of Computational Mathematics. 17 (2). 179-190. doi:
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