Skip to main content

A Self-adaptive Mutations with Multi-parent Crossover Evolutionary Algorithm for Solving Function Optimization Problems

  • Conference paper
Advances in Computation and Intelligence (ISICA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4683))

Included in the following conference series:

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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)

    Google Scholar 

  2. 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)

    Google Scholar 

  3. Xin, Y., Yong, L., Guangming, L.: Evolutionary programming made faster. IEEE Trans. Evolutionary Computation 3(2), 82–102 (1999)

    Article  Google Scholar 

  4. Tao, G.: Evolutionary Computation and Optimization. PhD thesis. Wuhan University, Wuhan (1999)

    Google Scholar 

  5. Tao, G., Lishan, K.: A new evolutionary algorithm for function optimization. Wuhan University Journal of Nature Science 4(4), 409–414 (1999)

    MATH  Google Scholar 

  6. Deb, K.: GeneAS: A robust optimal design technique for mechanical component design. In: Evolutionary algorithm in engineering application, pp. 497–514. Springer, Heidelberg (1997)

    Google Scholar 

  7. 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)

    Google Scholar 

  8. 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)

    Google Scholar 

  9. He, J., Kang, L.: On the convergence rates of genetic algorithms. Theoretical Computer Science 229, 23–29 (1999)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Lishan Kang Yong Liu Sanyou Zeng

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

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

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74581-5_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74580-8

  • Online ISBN: 978-3-540-74581-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics