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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

134 Citations (Scopus)

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.

Original language	English
Pages (from-to)	17-43
Number of pages	27
Journal	Journal of Global Optimization
Volume	28
Issue number	1
DOIs	https://doi.org/10.1023/B:JOGO.0000006653.60256.f6
Publication status	Published - Jan 2004
Externally published	Yes

Keywords

Filled function method
Global optimization
Mathematical programming
Nonconvex optimization

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10.1023/B:JOGO.0000006653.60256.f6

Cite this

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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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AU - Zhang, Lian Sheng

AU - Ng, Chi Kong

AU - Li, Duan

AU - Tian, Wei Wen

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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

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M3 - Article

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VL - 28

SP - 17

EP - 43

JO - Journal of Global Optimization

JF - Journal of Global Optimization

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A New Filled Function Method for Global Optimization

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Keywords

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