Optimization Scheme Based on Differential Equation Model for Animal Swarming

Abstract

This paper is devoted to introducing an optimization algorithm which is devised on a basis of ordinary differential equation model describing the process of animal swarming. By several numerical simulations, the nature of the optimization algorithm is clarified. Especially, if parameters included in the algorithm are suitably set, our scheme can show very good performance even in higher dimensional problems.

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T. Uchitane and A. Yagi, "Optimization Scheme Based on Differential Equation Model for Animal Swarming," Open Journal of Optimization, Vol. 2 No. 2, 2013, pp. 45-51. doi: 10.4236/ojop.2013.22007.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Kennedy and R. Eberhart, “Particle Swarm Optimization,” Proceedings of IEEE International Conference Neural Networks, Perth, 27 November-1 December 1995, 1942-1948.
[2] D. Bratton and J. Kennedy, “Defining a Standard for Particle Swarm Optimization,” IEEE Swarm Intelligence Symposium, Honolulu, 1-5 April 2007, pp. 120-127.
[3] H. Liu, A. Abraham and W. Zhang, “A Fuzzy Adaptive Turbulent Particle Swarm Optimization,” International Journal of Computer Applications, Vol. 1, No. 1, 2007, pp. 39-47. doi:10.1504/IJICA.2007.013400
[4] S. He, Q. Wu, J. Wen, J. Sanuders and R. Paton, “A Particle Swarm Optimizer with Passive Congregation,” Biosystems, Vol. 78, 2004, pp. 135-147. doi:10.1016/j.biosystems.2004.08.003
[5] M. Eslami, H. Shareef, M. Khajehzadeh and A. Mohamed, “A Survey of the State of the Art in Particle Swarm Optimization,” Research Journal of Applied Science, Engineering and Technology, Vol. 4, 2012, pp. 1181-1197.
[6] J. S. Camazine, J. L. Deneubourg, N. R. Franks, J. Sneyd, G. Theraulaz and E. Bonabeau, “Self-Organization in Biological Systems,” Princeton University Press, Princeton, 2001.
[7] C. W. Reynolds, “Flocks, Herds, and Schools: A Distributed Behavioral Model,” Computer Graphics, Vol. 21, No. 4, 1987, pp. 25-34. doi:10.1145/37402.37406
[8] T. Uchitane, T. V. Ton and A. Yagi, “An Ordinary Differential Equation Model for Fish Schooling,” Scientiae Mathematicae Japonicae, Vol. 75, 2012, pp. 339-350.
[9] B. Oksendal, “Stochastic Differential Equations,” Springer, Berlin, 2007.

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