Please wait a minute...
ZJUS-A
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2006, Vol. 7 Issue (12): 19-    DOI: 10.1631/jzus.2006.A2083
    
Two-parameters quasi-filled function algorithm for nonlinear integer programming
WANG Wei-xiang, SHANG You-lin, ZHANG Lian-sheng
Department of Mathematics, Shanghai University, Shanghai 200444, China; Department of Applied Mathematics, Tongji University, Shanghai 200092, China; Department of Mathematics, Henan University of Science and Technology, Luoyang 471003, China
Download:     PDF (0 KB)     
Export: BibTeX | EndNote (RIS)      

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.

Key words： Integer programming      Local minimizer      Global minimizer      Filled function      Global optimization     
Received: 28 December 2005     
CLC:  O221.2  
  O224  
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
WANG Wei-xiang
SHANG You-lin
ZHANG Lian-sheng
Cite this article:

WANG Wei-xiang, SHANG You-lin, ZHANG Lian-sheng. Two-parameters quasi-filled function algorithm for nonlinear integer programming. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(12): 19-.

URL:

http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2006.A2083     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2006/V7/I12/19

[1] Qing-long Meng, Xiu-ying Yan, Qing-chang Ren. Global optimal control of variable air volume air-conditioning system with iterative learning: an experimental case study[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2015, 16(4): 302-315.
[2] Yu-dong Xue, Takashi Irohara. A time-space network based international transportation scheduling problem incorporating CO2 emission levels[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2010, 11(12): 927-932.
[3] Li-jia CHEN, Hua-feng ZHANG, Jin-fang ZHOU, Kang-sheng CHEN. Efficient design of rotary traveling wave oscillator array via geometric programming[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2009, 10(12): 1815-1823.
[4] Guo Chuang-xin, Zhao Bo. A pooled-neighbor swarm intelligence approach to optimal reactive power dispatch[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(4 ): 21-.
[5] Li Yan-jun, Hill David J., Wu Tie-jun. Optimal coordinated voltage control of power systems[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(2 ): 22-.
[6] SHANG You-lin, HAN Bo-shun. One-parameter quasi-filled function algorithm for nonlinear integer programming[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2005, 6( 4): 9-.
[7] GUO Chuang-xin, HU Jia-sheng, YE Bin, CAO Yi-jia. Swarm intelligence for mixed-variable design optimization[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2004, 5(7): 851-860.
[8] FANG You-tong, FAN Cheng-zhi, YE Yun-yue, CHEN Yong-xiao. Application of stochastic method to optimum design of energy-efficient induction motors with a target of LCC[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2003, 4(3): 270-275.