A filled function method with one parameter for box constrained global optimization

Weixiang Wang; Youlin Shang; Liansheng Zhang

doi:10.1016/j.amc.2007.04.011

A filled function method with one parameter for box constrained global optimization

Weixiang Wang^*, Youlin Shang, Liansheng Zhang

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22 引用（Scopus）

摘要

In this paper, a new auxiliary function with one parameter on box constrained for escaping the current local minimizer of global optimization problem is proposed. First, a new definition of the filled function for box constrained minimization problem is given and under mild assumptions, this new auxiliary function is really a filled function. Then a new solution algorithm is proposed according to the theoretical analysis. And some numerical results demonstrate the efficiency of this method for box constrained global optimization.

源语言	英语
页（从-至）	54-66
页数	13
期刊	Applied Mathematics and Computation
卷	194
期	1
DOI	https://doi.org/10.1016/j.amc.2007.04.011
出版状态	已出版 - 1 12月 2007
已对外发布	是

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AB - In this paper, a new auxiliary function with one parameter on box constrained for escaping the current local minimizer of global optimization problem is proposed. First, a new definition of the filled function for box constrained minimization problem is given and under mild assumptions, this new auxiliary function is really a filled function. Then a new solution algorithm is proposed according to the theoretical analysis. And some numerical results demonstrate the efficiency of this method for box constrained global optimization.

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KW - Filled function method

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KW - Local minimizer

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A filled function method with one parameter for box constrained global optimization

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