Open AccessA Filled Function Approach for Nonsmooth Constrained Global Optimization
Author(s) -
Weixiang Wang,
Youlin Shang,
Ying Zhang
Publication year - 2010
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2010/310391
Subject(s) - maxima and minima , constrained optimization problem , mathematical optimization , penalty method , constrained optimization , function (biology) , global optimization , optimization problem , feasible region , mathematics , computer science , biology , mathematical analysis , evolutionary biology
A novel filled function is given in this paper to find a global minima for a nonsmoothconstrained optimization problem. First, a modified concept of the filled function for nonsmoothconstrained global optimization is introduced, and a filled function, which makes use of the idea ofthe filled function for unconstrained optimization and penalty function for constrained optimization, isproposed. Then, a solution algorithm based on the proposed filled function is developed. Atlast, some preliminary numerical results are reported. The results show that the proposed approachis promising
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