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Mathematical Programming
Article . 2001 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article
Data sources: zbMATH Open
DBLP
Article . 2017
Data sources: DBLP
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Global optimization of nonconvex factorable programming problems

Authors: Hanif D. Sherali; Hongjie Wang;

Global optimization of nonconvex factorable programming problems

Abstract

In this paper is presented a global optimization approach for solving a class of nonconvex factorable programming problems, that arise in a variety of engineering process control and design problems. McCormick introduced the nonconvex factorable programming problem in 1976 in a different, but equivalent, form. The proposed procedure is a branch and bound algorithm that employs two levels of approximation. First the original nonconvex factorable functions are approximated using appropriately constructed lower/upper bounding polynomial functions. Then an LP relaxation is generated for resulting nonconvex polynomial programming problem via the application of a reformulation-linearization technique. A suitable partitioning process is proposed that induce convergence to a global optimum. The algorithm is illustrated by a numerical example. Also the algorithm was implemented in C++ and tested on a set of fifteen test problems.

Related Organizations
Keywords

factorable programs, global optimization, Polyhedral combinatorics, branch-and-bound, branch-and-cut, Nonconvex programming, global optimization, nonconvex programming

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
54
Top 10%
Top 10%
Average
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