Convergence Study of Biogeography Based Optimization

Authors

  • D. K. Mishra Department of Mathematics, Government Narmada P.G. College, Hoshangabad, Madhya Pradesh, India
  • Vikas Shinde Department of Applied Mathematics, Madhav Institute of Technology & Science, Gwalior, Madhya Pradesh, India
  • Kamal Wadhwa Department of Mathematics, Government P.G. College, Pipariya, Madhya Pradesh, India
  • Sanjay Chaudhary Department of Mathematics, Government Narmada P.G. College, Hoshangabad, Madhya Pradesh, India

DOI:

https://doi.org/10.51983/ajcst-2018.7.3.1887

Keywords:

BBO Algorithm, Migration, Mutation, Emigration

Abstract

Biogeography based optimization BBO is a progressive algorithm. It is induced by Biogeography. BBO is more powerful algorithm among the biology based optimization methods. In this paper examines the convergence of BBO algorithm on some fitness functions. BBO algorithm handles the best solution from one off spring to the next converges to the universal optimum. The convergence rate evaluate of BBO algorithm by simulation for some fitness function. A set of 12 standard benchmark function performance of convergence is studied by BBO algorithm.

References

R. Macarthur and E. Wilson, "The theory of Biogeography," Princeton, NJ: Princeton University Press, 1967.

G. Guo and S. Yu, "The unified method analyzing convergence of genetic algorithms," Control Theory & Application, vol. 18, no. 3, pp. 443-446, 2001.

D. Simon, "Biogeography-Based optimization," IEEE Transactions on Evolutionary Computation, vol. 12, no. 6, pp. 702-713, 2008.

H. Ma and D. Simon, "Blended Biogeography-Based optimization for constrained optimization," Engineering Application of Artificial Intelligence, vol. 24, no. 6, pp. 517-525, 2010.

H. Ma, "An analysis of the equilibrium of migration models for biogeography-based optimization," Information Sciences, vol. 180, no. 18, pp. 3444-3464, 2010.

D. Simon, R. Rick., E. Mehmet D. Dawei, "Analytical and numerical comparisons of biogeography-based optimization and genetic algorithms," Information Sciences, vol. 181, no. 7, pp. 1224-1248, 2011.

B. Ilhem, A. Chatterjee, S. Patrick, M. Ahmed-Nacer, "Biogeography-based optimization for constrained optimization problems," Computers & Operations Research, vol. 39, no. 12, pp. 3293-3304, 2012.

H. Ma, X. Yong Ruan, Z. Xin Pan, "Handling multiple objectives with Biogeography based optimization," International Journal of Automation and Computing, vol. 9, no. 1, pp. 30-36, 2012.

N. F. Hordri, S. S. Yuhaniz, D. Nasien, "A Comparison study of Biogeography based Optimization for Optimization problems," International Journal Advance Soft Computing Application, vol. 5, no. 1, pp. 1-16, 2013.

Q. Feng, S. Liu, Q. Wu, G. Tang, H. Zhang, H. Chen, "Modified Biogeography-Based optimization with Local Search Mechanism," Journal of Applied Mathematics, pp. 1-24, 2013. [Online]. Available: http://dx.doi.org/10.1155/2013/960524.

G. Guo, W. Lei, Q. Wu, "An analysis of the migration rates for biogeography-based optimization," Information Sciences, vol. 254, pp. 111-140, 2014.

H. Ma, D. Simon, M. Fei, "On convergence of Biogeography-Based optimization for Binary Problems," Mathematical Problems in Engineering, pp. 1-11, 2014. [Online]. Available: http://dx.doi.org/10.1155/2014/147457.

E. M. Golafshani, "Introduction of Biogeography based programming as a new algorithm for solving problems," vol. 270, pp. 1-12, 2015.

G. Weian, W. Lei, Q. Wu, "Numerical comparisons of migration models for Multi-objective Biogeography-Based Optimization," Information Sciences, vol. 328, pp. 302-320, 2016.

H. Ma, D. Simon, "Biogeography-Based Optimization: A 10-Year Review," IEEE Transactions on Emerging Topics in Computational Intelligence, vol. 1, no. 5, pp. 391-407, 2017.

G. Khademi, H. Mohammadi, D. Simon, "Hybrid invasive weed/biogeography-based optimization," Engineering Applications of Artificial Intelligence, vol. 64, pp. 213-231, 2017.

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Published

09-10-2018

How to Cite

Mishra, D. K., Shinde, V., Wadhwa, K., & Chaudhary, S. (2018). Convergence Study of Biogeography Based Optimization. Asian Journal of Computer Science and Technology, 7(3), 33–38. https://doi.org/10.51983/ajcst-2018.7.3.1887