Abstract
In this paper, we introduce a new self-adaptive evolutionary algorithm for solving function optimization problems. The capabilities of the new algorithm include: a) self-adaptive choice of Gaussian or Cauchy mutation to balance the local and global search on the variable subspace, b) using multi-parent crossover to exchange global search information, c) using the best individual to take place the worst individual selection strategy to reduce the selection pressure and ensure to find a global optimization. These enhancements increase the capabilities of the algorithm to solve Shekel problems in a more robust and universal way. This paper will present some results of numerical experiments which show that the new algorithm is more robust and universal than its competitors.
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References
Guangming, L., Xin, Y.: Analyzing Crossover Operators by Search Step Size. In: ICEC 1997. Proc. of 1997 IEEE International Conference on Evolutionary Computation, Indianapolis, USA, 13-16 April, 1997, pp. 107–110. IEEE Computer Society Press, Los Alamitos (1997)
Xin, Y., Guangming, L., Yong, L.: An analysis of evolutionary algorithms based on neighborhood and step sizes. In: Angeline, P.J., McDonnell, J.R., Reynolds, R.G., Eberhart, R. (eds.) Evolutionary Programming VI. LNCS, vol. 1213, pp. 297–307. Springer, Heidelberg (1997)
Xin, Y., Yong, L., Guangming, L.: Evolutionary programming made faster. IEEE Trans. Evolutionary Computation 3(2), 82–102 (1999)
Tao, G.: Evolutionary Computation and Optimization. PhD thesis. Wuhan University, Wuhan (1999)
Tao, G., Lishan, K.: A new evolutionary algorithm for function optimization. Wuhan University Journal of Nature Science 4(4), 409–414 (1999)
Deb, K.: GeneAS: A robust optimal design technique for mechanical component design. In: Evolutionary algorithm in engineering application, pp. 497–514. Springer, Heidelberg (1997)
Coello, C.A.: Self-adaptive penalties for GA-based optimization. In: Proceedings of the Congress on Evolutionary Computation, Washington, D.C USA, pp. 537–580. IEEE Press, NJ, New York (1999)
Bäck, T.: Selective pressure in evolutionary algorithms: A characterization of selection mechanisms. In: Michalewicz, Z. (ed.) Proceedings of the First IEEE Conference on Evolutionary Computation, vol. 1, pp. 57–62. IEEE Neural Networks Council, Institute of Electrical and Electronics Engineers (1994)
He, J., Kang, L.: On the convergence rates of genetic algorithms. Theoretical Computer Science 229, 23–29 (1999)
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Lin, G., Kang, L., Chen, Y., McKay, B., Sarker, R. (2007). A Self-adaptive Mutations with Multi-parent Crossover Evolutionary Algorithm for Solving Function Optimization Problems. In: Kang, L., Liu, Y., Zeng, S. (eds) Advances in Computation and Intelligence. ISICA 2007. Lecture Notes in Computer Science, vol 4683. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74581-5_17
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DOI: https://doi.org/10.1007/978-3-540-74581-5_17
Publisher Name: Springer, Berlin, Heidelberg
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