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Adaptive Control of Strong Mutation Rate and Probability for Queen-bee Genetic Algorithms

  • Jung, Sung-Hoon (Department of Information and Communications Engineering, Hansung University)
  • Received : 2011.10.06
  • Accepted : 2011.11.03
  • Published : 2012.03.25

Abstract

This paper introduces an adaptive control method of strong mutation rate and probability for queen-bee genetic algorithms. Although the queen-bee genetic algorithms have shown good performances, it had a critical problem that the strong mutation rate and probability should be selected by a trial and error method empirically. In order to solve this problem, we employed the measure of convergence and used it as a control parameter of those. Experimental results with four function optimization problems showed that our method was similar to or sometimes superior to the best result of empirical selections. This indicates that our method is very useful to practical optimization problems because it does not need time consuming trials.

Keywords

References

  1. D. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning. Reading, MA: Addison-Wesley, 1989.
  2. M. Srinivas and L. M. Patnaik, "Genetic Algorithms: A Survey," IEEE Computer Magazine, pp. 17-26, June 1994.
  3. D. Beasley, D. R. Bull, and R. R. Martin, "An Overview of Genetic Algorithms: Part 1, Fundamentals," Technical Report obtained from http://home.ifi.uio.no/jimtoer/GA Overview1.pdf.
  4. R. Yang and I. Douglas, "Simple Genetic Algorithm with Local Tuning: Efficient Global Optimizing Technique," Journal of Optimization Theory and Applications, vol. 98, pp. 449-465, Aug. 1998. https://doi.org/10.1023/A:1022697719738
  5. S. M. Libelli and P. Alba, "Adaptive mutation in genetic algorithms," Soft Computing, vol. 4, pp. 76-80, 2000. https://doi.org/10.1007/s005000000042
  6. E. Alba and B. Dorronsoro, "The exploration/ exploitation tradeoff in dynamic cellular genetic algorithms," IEEE Transactions on Evolutionary Computation, vol. 9, pp. 126-142, Apr. 2005. https://doi.org/10.1109/TEVC.2005.843751
  7. V. K. Koumousis and C. Katsaras, "A saw-tooth genetic algorithm combining the effects of variable population size and reinitialization to enhance performance," IEEE Transactions on Evolutionary Computation, vol. 10, pp. 19-28, Feb. 2006. https://doi.org/10.1109/TEVC.2005.860765
  8. A. E. Eiben, Z. Michalewicz, m. Schoenauer, and J. E. Smith, "Parameter Control in Evolutionary Algorithms," Studies in Computational Intelligence, vol. 54, pp. 19-46, 2007. https://doi.org/10.1007/978-3-540-69432-8_2
  9. Z. Jinhua, Z. Jian, D. Haifeng, and W. Sun'an, "Self-organizing genetic algorithm based tuning of PID controllers," Information Sciences, vol. 179, pp. 1007-1018, 2009. https://doi.org/10.1016/j.ins.2008.11.038
  10. K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan, "A Fast and ElitistMultiobjective Genetic Algorithm: NSGA-II," IEEE Transactions on Evolutionary Computation, vol. 6, pp. 182-197, Apr. 2002. https://doi.org/10.1109/4235.996017
  11. R. Marler and J. Arora, "Survey of multi-objective optimization methods for engineering," Structural and Multidisciplinary Optimization, vol. 26, pp. 369- 395, Apr. 2004. https://doi.org/10.1007/s00158-003-0368-6
  12. K. Anagnostopoulos and G. Mamanis, "Multiobjective evolutionary algorithms for complex portfolio optimization problems," Computational Management Science, vol. 8, pp. 259-279, Aug. 2011. https://doi.org/10.1007/s10287-009-0113-8
  13. J. C. Potts, T. D. Giddes, and S. B. Yadav, "The development and evaluation of an improved genetic algorithm based on migration and artificial selection," IEEE Transactions on Systems, Man and Cybernetics, vol. 24, no. 1, pp. 73-86, 1994. https://doi.org/10.1109/21.259687
  14. J. Andre, P. Siarry, and T. Dognon, "An improvement of the standard genetic algorithm fighting premature convergence in continuous optimization," Advances in engineering software, vol. 32, no. 1, pp. 49-60, 2001. https://doi.org/10.1016/S0965-9978(00)00070-3
  15. C. Xudong, Q. Jingen, N. Guangzheng, Y. Shiyou, and Z. Mingliu, "An Improved Genetic Algorithm for Global Optimization of Electromagnetic Problems," IEEE Transactions on Magnetics, vol. 37, pp. 3579- 3583, Sept. 2001. https://doi.org/10.1109/20.952666
  16. S. H. Jung, "Queen-bee evolution for genetic algorithms," Electronics Letters, vol. 39, pp. 575-576, Mar. 2003. https://doi.org/10.1049/el:20030383