Skip to main content

On the Desired Behaviors of Self-Adaptive Evolutionary Algorithms

  • Conference paper
Book cover Parallel Problem Solving from Nature PPSN VI (PPSN 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1917))

Included in the following conference series:

Abstract

In this paper, we postulate some desired behaviors of any evolutionary algorithm (EA) to demonstrate self-adaptive properties. Thereafter, by calculating population mean and variance growth equations, we find bounds on parameter values in a number of EA operators which will qualify them to demonstrate the self-adaptive behavior. Further, we show that if the population growth rates of different EAs are similar, similar performance is expected. This allows us to connect different self-adaptive EAs on an identical platform. This may lead us to find a more unified understanding of the working of different EAs.

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. M. Herdy. Reproductive isolation as strategy parameter in hierarchically organized evolution strategies. In Parallel Problem Solving from Nature II, pages 207–217, San Mateo, California, 1992. Morgan Kauffmann.

    Google Scholar 

  2. N. Hansen and A. Ostermeier. Adapting arbitrary normal mutation distributions in evolution strategies: The covariance matrix adaptation. In Proceedings of the IEEE International Conference on Evolutionary Computation, pages 312–317, Piscataway, New Jersey, 1996. IEEE Press.

    Google Scholar 

  3. I. Rechenberg. Evolutionsstrategie: Optimierung technischer Systeme nach Prinzipien der biologischen Evolution. Frommann-Holzboog Verlag, Stuttgart, 1973.

    Google Scholar 

  4. H.-P. Schwefel. Numerical Optimization of Computer Models. Wiley, Chichester, 1981.

    MATH  Google Scholar 

  5. T. Bäck and H.-P. Schwefel. An Overview of Evolutionary Algorithms for Parameter Optimization. Evolutionary Computation, 1(1): 1–23, 1993.

    Google Scholar 

  6. K. Deb and H.-G. Beyer. Self-Adaptation in Real-Parameter Genetic Algorithms with Simulated Binary Crossover. In W. Banzhaf, J. Daida, A.E. Eiben, M.H. Garzon, V. Honavar, M. Jakiela, and R.E. Smith, editors, GECCO-99: Proceedings of the Genetic and Evolutionary Computation Conference, San Francisco, CA, 1999. Morgan Kaufmann.

    Google Scholar 

  7. K. Deb and R. B. Agrawal. Simulated binary crossover for continuous search space. Complex Systems, 9:115–148, 1995.

    MATH  Google Scholar 

  8. H.-M. Voigt, H. Mühlenbein, and D. Cvetković. Fuzzy recombination for the Breeder Genetic Algorithm. In L. J. Eshelman, editor, Proc. 6th Int’l Conf. on Genetic Algorithms, pages 104–111, San Francisco, CA, 1995. Morgan Kaufmann Publishers, Inc.

    Google Scholar 

  9. H.-G. Beyer. On the Dynamics of EAs without Selection. In W. Banzhaf and C. Reeves, editors, Foundations of Genetic Algorithms, 5, pages 5–26, San Mateo, CA, 1999. Morgan Kaufmann.

    Google Scholar 

  10. N. Hansen. Verallgemeinerte individuelle Schrittweitenregelung in der Evolutionsstrategie. Doctoral thesis, Technical University of Berlin, Berlin, 1998.

    Google Scholar 

  11. H.-G. Beyer and K. Deb. On the Analysis of Self-Adaptive Evolutionary Algorithms. Technical Report CI-69/99, Department of Computer Science, University of Dortmund, Germany, May 1999.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Beyer, HG., Deb, K. (2000). On the Desired Behaviors of Self-Adaptive Evolutionary Algorithms. In: Schoenauer, M., et al. Parallel Problem Solving from Nature PPSN VI. PPSN 2000. Lecture Notes in Computer Science, vol 1917. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45356-3_6

Download citation

  • DOI: https://doi.org/10.1007/3-540-45356-3_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41056-0

  • Online ISBN: 978-3-540-45356-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics