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

^*此作品的通讯作者

Shanghai University
Chinese University of Hong Kong

科研成果: 期刊稿件 › 文章 › 同行评审

146 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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@article{bceb3fba47a94cc8b2debe938e6845b7,

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",

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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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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

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SN - 0925-5001

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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