Evolutionary Cellular Automata Algorithm with Hybrid Discrete Variables and its Application to Mechanical Optimization

Abstract:

The optimization design about hybrid discrete variables synthesizing integer, discrete and continuous variables is very significant but also difficult in engineering, mathematics for programming and operational research. Aimed at shortages of existing optimum methods, in this paper, Evolutionary Cellar Automata Algorithm (ECAA) is proposed to complex optimization problem with hybrid discrete variables which has a digging operator and two learning operators (dual arithmetic crossover operator and chaos-peak-jumping operator). The computing examples of mechanical optimization design show that this algorithm has no special requirements on the characteristics of optimal designing problems, it has a fairly good universal adaptability and a reliable operation of program with a strong ability of overall convergence and high efficiency.

• Periodical: Applied Mechanics and Materials (Volumes 271-272)
• Pages: 912-916
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.271-272.912
• Online since: December 2012
• Authors: Wei Yue Xiao, Yue Hua Cai, You Xin Luo
• Keywords: Evolutionary Cellular Automata Algorithm, Hybrid Discrete Variables, Mechanical Optimization

References

[1] H.X. GUO, L.T. ZHANG: Journal of Machine Design, Vol.22,No.3 (2005),pp.9-13.Dj.M. Maric, P.F. Meier and S.K. Estreicher: Mater. Sci. Forum Vol. 83-87 (1992), p.119

[2] Y.M Zhou , Y.M. Lan.: Optimization Design Modeling of Mechanical Parts and System and its Application.(,Chemical Industry Press ,Beijing, 2005).M.A. Green: High Efficiency Silicon Solar Cells (Trans Tech Publications, Switzerland 1987).

[3] T. GUO, L.S. KANG, Y. LI:Journal of Wuhan University(Natural Science Edition), Vol. 45,No.B (1999) ,pp.771-775.Y. Mishing, in: Diffusion Processes in Advanced Technological Materials, edtied by D. Gupta Noyes Publications/William Andrew Publising, Norwich, NY (2004), in press.

[4] H.W. JIA,Y.X. HE, B.J. ZHENG: Computer Engineering and Application,Vol.41,No.26 (2005), pp.54-57.G. Henkelman, G.Johannesson and H. Jónsson, in: Theoretical Methods in Condencsed Phase Chemistry, edited by S.D. Schwartz, volume 5 of Progress in Theoretical Chemistry and Physics, chapter, 10, Kluwer Academic Publishers (2000).

[5] H.X. GUO, L.T. ZHANG,:Journal of Chinese Machine Design, Vol.22, No.3 (2005) ,pp.9-13.R.J. Ong, J.T. Dawley and P.G. Clem: submitted to Journal of Materials Research (2003)

[6] H.P. LI , G.Q. ZHAO, S.T. NIU, et al.:Acta Meta Eetallurgica Sinica,Vol.41,No.10, (2005), pp.1095-1100.P.G. Clem, M. Rodriguez, J.A. Voigt and C.S. Ashley, U.S. Patent 6,231,666. (2001)

[7] Y.X. Luo, D.G. Liao, X. Y. Che: Transactions of the Chinese Society of Agricultural, Vol.39, No.9 (2008) ,pp.129-133

[8] D.Y Xue, Y. Q. Chen:MATLAB Solving of Advanced Applied Mathematics Problem (Tsinghua University Press, Beijing, 2008).

[9] ABDEL-RAHMAN,HEDAR, MASAO FUKUSHIMA.: Journal of Global Optimization, Vol.35, (2006), pp.521-549.

[10] J.K.XU.: Mechanical Optimization Design (China Machine Press, Beijing,1996)

[7] Information on http://www.weld.labs.gov.cn