求解箱式约束全局优化问题的新的F-C函数

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

数学季刊 ›› 2020, Vol. 35 ›› Issue (2): 214-220.doi: 10.13371/j.cnki.chin.q.j.m.2020.02.009

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求解箱式约束全局优化问题的新的F-C函数

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

收稿日期:2019-10-31 出版日期:2020-06-30 发布日期:2020-11-10
作者简介: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.
基金资助:
Supported by National Natural Science Foundation of China (No.11471102)； Basic research projects for key scientific research projects in Henan Province (No.20ZX001)；

A New F-C Function for Box Constrained Global Optimization

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

Received:2019-10-31 Online:2020-06-30 Published:2020-11-10
About author: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.
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)；

摘要/Abstract

摘要： 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.

关键词: Global optimization, Filled function, F-C function, Local minimizer

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

中图分类号:

O224

詹悦, 尚有林, 屈德强. 求解箱式约束全局优化问题的新的F-C函数[J]. 数学季刊, 2020, 35(2): 214-220.

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.

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[4]	尚有林, 李晓燕. 无约束全局优化的一个可调参数的填充函数[J]. 数学季刊, 2004, 19(3): 232-239.

求解箱式约束全局优化问题的新的F-C函数

A New F-C Function for Box Constrained Global Optimization

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