1. New Modified Function Method for Global Optimization.
- Author
-
Wu, Z. Y., Zhang, L. S., Te, K. L., and Ba, F. S.
- Subjects
MATHEMATICAL optimization ,EQUATIONS ,MATHEMATICS ,MATHEMATICAL functions ,MATHEMATICAL analysis ,DIFFERENTIAL equations - Abstract
In this paper, a class of global optimization problems is considered. Corresponding to each local minimizer obtained, we introduced a new modified function and construct a corresponding optimization subproblem with one constraint. Then, by applying a local search method to the one-constraint optimization subproblem and using the local minimizer as the starting point, we obtain a better local optimal solution. This process is continued iteratively. A termination rule is obtained which can serve as stopping criterion for the iterating process. To demonstrate the efficiency of the proposed approach, numerical examples are solved. [ABSTRACT FROM AUTHOR]
- Published
- 2005
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