A New F-C Function for Box Constrained Global Optimization

ZHAN Yue, SHANG You-lin, QU De-qiang

doi:10.13371/j.cnki.chin.q.j.m.2020.02.009

Chinese Quarterly Journal of Mathematics >

2020 , Vol. 35 >Issue 2: 214 - 220

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.02.009

A New F-C Function for Box Constrained Global Optimization

Expand

School of Mathematics and Statistics,Henan University of Science and Technology

ZHAN Yue (1995-), female, native of Zhumadian, Henan, a postgraduate student of Henan University of Science and Technology, engages in operations research and cybernetics; SHANG You-lin (1963-), corresponding author, male, native of Luoyang, Henan, a professor of Henan University of Science and Technology, engages in operations research and cybernetics and systems science and engineering; QU De-qiang (1996-), male, native of Nanyang, Henan, a postgraduate student of Henan University of Science and Technology, engages in operations research and cybernetics.

Received date: 2019-10-31

Online published: 2020-11-10

Supported by

Supported by National Natural Science Foundation of China (No.11471102)； Basic research projects for key scientific research projects in Henan Province (No.20ZX001)；

Fold

Abstract

To solve the global optimization problems which have several local minimizers,a new F-C function is proposes by combining a filled function and a cross function. The properties of the F-C function are discussed and the corresponding algorithm is given in this paper. F-C function has the same local minimizers with the objective function.Therefore, the F-C function method only needs to minimize the objective function once in the first iteration. Numerical experiments are performed and the results show that the proposed method is very effective.

Key words： Global optimization; Filled function; F-C function; Local minimizer

Cite this article

ZHAN Yue, SHANG You-lin, QU De-qiang . A New F-C Function for Box Constrained Global Optimization[J]. Chinese Quarterly Journal of Mathematics, 2020 , 35(2) : 214 -220 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.02.009

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article