A New Filled Function Method for Global Optimization

Lian Sheng Zhang; Chi Kong Ng; Duan Li; Wei Wen Tian

doi:10.1023/B:JOGO.0000006653.60256.f6

A New Filled Function Method for Global Optimization

Lian Sheng Zhang^*, Chi Kong Ng, Duan Li, Wei Wen Tian

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134 引用（Scopus）

摘要

A novel filled function is suggested in this paper for identifying a global minimum point for a general class of nonlinear programming problems with a closed bounded domain. Theoretical and numerical properties of the proposed filled function are investigated and a solution algorithm is proposed. The implementation of the algorithm on several test problems is reported with satisfactory numerical results.

源语言	英语
页（从-至）	17-43
页数	27
期刊	Journal of Global Optimization
卷	28
期	1
DOI	https://doi.org/10.1023/B:JOGO.0000006653.60256.f6
出版状态	已出版 - 1月 2004
已对外发布	是

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Zhang, L. S., Ng, C. K., Li, D., & Tian, W. W. (2004). A New Filled Function Method for Global Optimization. Journal of Global Optimization, 28(1), 17-43. https://doi.org/10.1023/B:JOGO.0000006653.60256.f6

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title = "A New Filled Function Method for Global Optimization",

abstract = "A novel filled function is suggested in this paper for identifying a global minimum point for a general class of nonlinear programming problems with a closed bounded domain. Theoretical and numerical properties of the proposed filled function are investigated and a solution algorithm is proposed. The implementation of the algorithm on several test problems is reported with satisfactory numerical results.",

keywords = "Filled function method, Global optimization, Mathematical programming, Nonconvex optimization",

author = "Zhang, {Lian Sheng} and Ng, {Chi Kong} and Duan Li and Tian, {Wei Wen}",

year = "2004",

month = jan,

doi = "10.1023/B:JOGO.0000006653.60256.f6",

language = "English",

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T1 - A New Filled Function Method for Global Optimization

AU - Zhang, Lian Sheng

AU - Ng, Chi Kong

AU - Li, Duan

AU - Tian, Wei Wen

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Y1 - 2004/1

N2 - A novel filled function is suggested in this paper for identifying a global minimum point for a general class of nonlinear programming problems with a closed bounded domain. Theoretical and numerical properties of the proposed filled function are investigated and a solution algorithm is proposed. The implementation of the algorithm on several test problems is reported with satisfactory numerical results.

AB - A novel filled function is suggested in this paper for identifying a global minimum point for a general class of nonlinear programming problems with a closed bounded domain. Theoretical and numerical properties of the proposed filled function are investigated and a solution algorithm is proposed. The implementation of the algorithm on several test problems is reported with satisfactory numerical results.

KW - Filled function method

KW - Global optimization

KW - Mathematical programming

KW - Nonconvex optimization

UR - http://www.scopus.com/inward/record.url?scp=0942277398&partnerID=8YFLogxK

U2 - 10.1023/B:JOGO.0000006653.60256.f6

DO - 10.1023/B:JOGO.0000006653.60256.f6

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VL - 28

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EP - 43

JO - Journal of Global Optimization

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A New Filled Function Method for Global Optimization

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