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

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

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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

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KW - Mathematical programming

KW - Nonconvex optimization

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A New Filled Function Method for Global Optimization

Abstract

Keywords

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