Two-parameters quasi-filled function algorithm for nonlinear integer programming

Wei Xiang Wang; You Lin Shang; Lian Sheng Zhang

doi:10.1631/jzus.2006.A2083

Two-parameters quasi-filled function algorithm for nonlinear integer programming

Wei Xiang Wang^*
, You Lin Shang
, Lian Sheng Zhang

^*Corresponding author for this work

Shanghai University
Tongji University
Henan University of Science and Technology

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

2 Citations (Scopus)

Abstract

A quasi-filled function for nonlinear integer programming problem is given in this paper. This function contains two parameters which are easily to be chosen. Theoretical properties of the proposed quasi-filled function are investigated. Moreover, we also propose a new solution algorithm using this quasi-filled function to solve nonlinear integer programming problem in this paper. The examples with 2 to 6 variables are tested and computational results indicated the efficiency and reliability of the proposed quasi-filled function algorithm.

Original language	English
Pages (from-to)	2083-2087
Number of pages	5
Journal	Journal of Zhejinag University: Science
Volume	7
Issue number	12
DOIs	https://doi.org/10.1631/jzus.2006.A2083
Publication status	Published - Dec 2006
Externally published	Yes

Keywords

Filled function
Global minimizer
Global optimization
Integer programming
Local minimizer

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10.1631/jzus.2006.A2083

Cite this

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abstract = "A quasi-filled function for nonlinear integer programming problem is given in this paper. This function contains two parameters which are easily to be chosen. Theoretical properties of the proposed quasi-filled function are investigated. Moreover, we also propose a new solution algorithm using this quasi-filled function to solve nonlinear integer programming problem in this paper. The examples with 2 to 6 variables are tested and computational results indicated the efficiency and reliability of the proposed quasi-filled function algorithm.",

keywords = "Filled function, Global minimizer, Global optimization, Integer programming, Local minimizer",

author = "Wang, \{Wei Xiang\} and Shang, \{You Lin\} and Zhang, \{Lian Sheng\}",

year = "2006",

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doi = "10.1631/jzus.2006.A2083",

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AU - Wang, Wei Xiang

AU - Shang, You Lin

AU - Zhang, Lian Sheng

PY - 2006/12

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N2 - A quasi-filled function for nonlinear integer programming problem is given in this paper. This function contains two parameters which are easily to be chosen. Theoretical properties of the proposed quasi-filled function are investigated. Moreover, we also propose a new solution algorithm using this quasi-filled function to solve nonlinear integer programming problem in this paper. The examples with 2 to 6 variables are tested and computational results indicated the efficiency and reliability of the proposed quasi-filled function algorithm.

AB - A quasi-filled function for nonlinear integer programming problem is given in this paper. This function contains two parameters which are easily to be chosen. Theoretical properties of the proposed quasi-filled function are investigated. Moreover, we also propose a new solution algorithm using this quasi-filled function to solve nonlinear integer programming problem in this paper. The examples with 2 to 6 variables are tested and computational results indicated the efficiency and reliability of the proposed quasi-filled function algorithm.

KW - Filled function

KW - Global minimizer

KW - Global optimization

KW - Integer programming

KW - Local minimizer

UR - https://www.scopus.com/pages/publications/33845865841

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M3 - Article

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EP - 2087

JO - Journal of Zhejinag University: Science

JF - Journal of Zhejinag University: Science

IS - 12

ER -

Two-parameters quasi-filled function algorithm for nonlinear integer programming

Abstract

Keywords

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