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Global optimization for sum of generalized fractional functions

✍ Scribed by Pei-Ping Shen; Chun-Feng Wang

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 176 KB
Volume: 214
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.01.022

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✦ Synopsis

This paper considers the solution of generalized fractional programming (GFP) problem which contains various variants such as a sum or product of a finite number of ratios of linear functions, polynomial fractional programming, generalized geometric programming, etc. over a polytope. For such problems, we present an efficient unified method. In this method, by utilizing a transformation and a two-part linearization method, a sequence of linear programming relaxations of the initial nonconvex programming problem are derived which are embedded in a branch-and-bound algorithm. Numerical results are given to show the feasibility and effectiveness of the proposed algorithm.

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