Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 310391, 9 pages
doi:10.1155/2010/310391
Research Article

A Filled Function Approach for Nonsmooth Constrained Global Optimization

Weixiang Wang,1 Youlin Shang,2 and Ying Zhang3

1Department of Mathematics, Shanghai Second Polytechnic University, Shanghai 201209, China
2Department of Mathematics, Henan University of Science and Technology, Luoyang 471003, China
3Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

Received 28 April 2010; Revised 4 October 2010; Accepted 8 October 2010

Academic Editor: Jyh Horng Chou

Copyright © 2010 Weixiang Wang 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 novel filled function is given in this paper to find a global minima for a nonsmooth constrained optimization problem. First, a modified concept of the filled function for nonsmooth constrained global optimization is introduced, and a filled function, which makes use of the idea of the filled function for unconstrained optimization and penalty function for constrained optimization, is proposed. Then, a solution algorithm based on the proposed filled function is developed. At last, some preliminary numerical results are reported. The results show that the proposed approach is promising.