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CLC number: O221.2; O224

On-line Access: 2024-08-27

Received: 2023-10-17

Revision Accepted: 2024-05-08

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Journal of Zhejiang University SCIENCE A 2006 Vol.7 No.12 P.2083-2087

http://doi.org/10.1631/jzus.2006.A2083


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


Author(s):  WANG Wei-xiang, SHANG You-lin, ZHANG Lian-sheng

Affiliation(s):  Department of Mathematics, Shanghai University, Shanghai 200444, China; more

Corresponding email(s):   04810055@sohu.com

Key Words:  Integer programming, Local minimizer, Global minimizer, Filled function, Global optimization



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.

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