Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 346965, 12 pages
doi:10.1155/2010/346965
Research Article

A New Global Optimization Algorithm for Solving Generalized Geometric Programming

Department of Mathematical Sciences, Xidian University, Xi'an 710071, China

Received 13 October 2010; Accepted 23 December 2010

Academic Editor: J. J. Judice

Copyright © 2010 San-Yang Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A global optimization algorithm for solving generalized geometric programming (GGP) problem is developed based on a new linearization technique. Furthermore, in order to improve the convergence speed of this algorithm, a new pruning technique is proposed, which can be used to cut away a large part of the current investigated region in which the global optimal solution does not exist. Convergence of this algorithm is proved, and some experiments are reported to show the feasibility of the proposed algorithm.