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ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2005, Vol. 6 Issue ( 4): 9-    DOI: 10.1631/jzus.2005.A0305
    
One-parameter quasi-filled function algorithm for nonlinear integer programming
SHANG You-lin, HAN Bo-shun
Department of Mathematics & Physics, Henan University of Science and Technology, Luoyang 471003, China; Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200436, China
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Abstract  A definition of the quasi-filled function for nonlinear integer programming problem is given in this paper. A quasi-filled function satisfying our definition is presented. This function contains only one parameter. The properties of the proposed quasi-filled function and the method using this quasi-filled function to solve nonlinear integer programming problem are also discussed in this paper. Numerical results indicated the efficiency and reliability of the proposed quasi-filled function algorithm.

Key words： Integer programming      Local minimizer      Global minimizer      Filled function      Global optimization Mathematics & Physics     
Received: 05 May 2004     
CLC:  O221.2  
  O2  
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SHANG You-lin
HAN Bo-shun
Cite this article:

SHANG You-lin, HAN Bo-shun. One-parameter quasi-filled function algorithm for nonlinear integer programming. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 4): 9-.

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http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2005.A0305     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2005/V6/I 4/9

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