Skip to main content

Evolutionary Computing for the Optimization of Mathematical Functions

  • Chapter

Part of the book series: Advances in Soft Computing ((AINSC,volume 41))

Abstract

The Particle Swarm Optimization (PSO) and the Genetic Algorithms (GA) have been used successfully in solving problems of optimization with continuous and combinatorial search spaces. In this paper the results of the application of PSO and GAs for the optimization of mathematical functions is presented. These two methodologies have been implemented with the goal of making a comparison of their performance in solving complex optimization problems. This paper describes a comparison between a GA and PSO for the optimization of a complex mathematical function.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Man, K.F., Tang, K.S., Kwong, S.: Genetic Algorithms: Concepts and Designs. Springer, Heidelberg (1999)

    MATH  Google Scholar 

  2. Eberhart, R.C., Kennedy, J.: A new optimizer using particle swarm theory. In: Proceedings of the Sixth International Symposium on Micromachine and Human Science, Nagoya, Japan, pp. 39–43 (1995)

    Google Scholar 

  3. Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: Proceedings of IEEE International Conference on Neural Networks, pp. 1942–1948. IEEE Computer Society Press, Piscataway (1995)

    Chapter  Google Scholar 

  4. Matlab Toolbox. http://www.mathworworks.com

  5. Germundsson, R.: Mathematica Version 4. Mathematica J. 7, 497–524 (2000)

    Google Scholar 

  6. Fogel, D.B.: An introduction to simulated evolutionary optimization’. IEEE transactions on neural networks 5(1) (1994)

    Google Scholar 

  7. Holland, J.H.: Adaptation in natural and artificial system. The University of Michigan Press, Ann Arbor (1975)

    Google Scholar 

  8. Goldberg, D.: Genetic Algorithms. Addison-Wesley, Reading (1988)

    Google Scholar 

  9. Emmeche, C.: Garden in the Machine. The Emerging Science of Artificial Life, p. 114. Princeton University Press, Princeton (1994)

    Google Scholar 

  10. Angeline, P.J.: Using Selection to Improve Particle Swarm Optimization. In: Proceedings 1998 IEEE World Congress on Computational Intelligence, Anchorage, Alaska, pp. 84–89. IEEE Computer Society Press, Los Alamitos (1998)

    Chapter  Google Scholar 

  11. Angeline, P.J.: _Evolutionary Optimization Versus Particle Swarm Optimization: Philosophy and Performance Differences. In: Porto, V.W., Waagen, D. (eds.) Evolutionary Programming VII. LNCS, vol. 1447, pp. 601–610. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  12. Back, T., Fogel, D.B., Michalewicz, Z. (eds.): Handbook of Evolutionary Computation. Oxford University Press, Oxford (1997)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Patricia Melin Oscar Castillo Eduardo Gomez Ramírez Janusz Kacprzyk Witold Pedrycz

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Valdez, F., Melin, P., Castillo, O. (2007). Evolutionary Computing for the Optimization of Mathematical Functions. In: Melin, P., Castillo, O., Ramírez, E.G., Kacprzyk, J., Pedrycz, W. (eds) Analysis and Design of Intelligent Systems using Soft Computing Techniques. Advances in Soft Computing, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72432-2_47

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72432-2_47

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72431-5

  • Online ISBN: 978-3-540-72432-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics