| Issue |
MATEC Web Conf.
Volume 139, 2017
2017 3rd International Conference on Mechanical, Electronic and Information Technology Engineering (ICMITE 2017)
|
|
|---|---|---|
| Article Number | 00223 | |
| Number of page(s) | 4 | |
| DOI | https://doi.org/10.1051/matecconf/201713900223 | |
| Published online | 05 December 2017 | |
A novel global optimization algorithm based on the smoothing function
College of Science, Wuhan University of Science and Technology, Wuhan, Hubei, P.R. China, 430065
* e-mail: 646864258@qq.com
** Corresponding author, e-mail: yangly0601@126.com
In this paper, a new global optimization algorithm based on the smoothing function is suggested. Firstly, one of the minimizer x*1 of the smooth function F is found by employing any local minimizer finder, then the function m(x, x*1) := min{F(x); F(x*1)} is considered instead of the objective function F and the minimizer x*2 of the function m is searched. Because of the non-smooth of the function m, the smoothing function for m is used in order to make the local minimizer finding algorithms for smooth optimization available. Finally, a global optimization algorithm based on the smoothing function is presented. The implementation of the algorithm on several test problems is reported with numerical results.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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