A Filled Function Approach for Nonsmooth Constrained Global Optimization. (2nd November 2010)

• Record Type: Journal Article
• Authors: Wang, Weixiang; Shang, Youlin; Zhang, Ying
• Other Names: Chou Jyh Horng Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2010(2010)
• Publication Date: 2010-11-02
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2010/310391
• Languages: English
• ISSNs: 1024-123X

Abstract

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.