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

141 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",

volume = "28",

pages = "17--43",

journal = "Journal of Global Optimization",

issn = "0925-5001",

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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

PY - 2004/1

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 - https://www.scopus.com/pages/publications/0942277398

U2 - 10.1023/B:JOGO.0000006653.60256.f6

DO - 10.1023/B:JOGO.0000006653.60256.f6

M3 - Article

AN - SCOPUS:0942277398

SN - 0925-5001

VL - 28

SP - 17

EP - 43

JO - Journal of Global Optimization

JF - Journal of Global Optimization

IS - 1

ER -

A New Filled Function Method for Global Optimization

Abstract

Keywords

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