[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
Skip to main content

Theoretical Aspects of Evolutionary Algorithms

  • Conference paper
  • First Online:
Automata, Languages and Programming (ICALP 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2076))

Included in the following conference series:

Abstract

Randomized search heuristics like simulated annealing and evolutionary algorithms are applied successfully in many different situations. However, the theory on these algorithms is still in its infancy. Here it is discussed how and why such a theory should be developed. Afterwards, some fundamental results on evolutionary algorithms are presented in order to show how theoretical results on randomized search heuristics can be proved and how they contribute to the understanding of evolutionary algorithms.

This work was supported by the Deutsche Forschungsgemeinschaft (DFG) as part of the Collaborative Research Center “Computational Intelligence” (531).

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

Access this chapter

Subscribe and save

Springer+ Basic
£29.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
GBP 19.95
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
GBP 35.99
Price includes VAT (United Kingdom)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
GBP 44.99
Price includes VAT (United Kingdom)
  • 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.

Similar content being viewed by others

References

  1. Bäck, T. (1998). An overview of parameter control methods by self-adaptation in evolutionary algorithms. Fundamenta Informaticae 32, 51–66.

    Google Scholar 

  2. Bäck, T., Fogel, D. B., and Michalewicz, Z. (Eds.) (1997). Handbook of Evolutionary Computation. Oxford Univ. Press, Oxford.

    MATH  Google Scholar 

  3. Cormen, T. H., Leiserson, C. E., and Rivest, R. L. (1990). Introduction to Algorithms. MIT Press.

    Google Scholar 

  4. Droste, S., Jansen, T., and Wegener, I. (1998). On the optimization of unimodal functions with the (1 + 1) evolutionary algorithm. Proc. of PPSN V (Parallel Problem Solving from Nature), LNCS 1648, 13–22.

    Chapter  Google Scholar 

  5. Droste, S., Jansen, T., and Wegener, I. (2001). On the analysis of the (1 + 1) evolutionary algorithm. To appear: Theoretical Computer Science.

    Google Scholar 

  6. Fogel, D. B. (1995). Evolutionary Computation: Toward a New Philosophy of Machine Intelligence. IEEE Press.

    Google Scholar 

  7. Forrest, S., and Mitchell, M. (1993). Relative building-block fitness and the building-block hypothesis. Proc. of FOGA’ 1993 (2nd Workshop Foundations of Genetic Algorithms), Morgan Kaufmann.

    Google Scholar 

  8. Garnier, J., Kallel, L., and Schoenauer, M. (1999). Rigorous hitting times for binary mutations. Evolutionary Computation 7, 173–203.

    Article  Google Scholar 

  9. Goldberg, D. E. (1989). Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley.

    Google Scholar 

  10. Hochbaum, D. S. (Ed.) (1997). Approxiamtion Algorithms for NP-Hard Problems. PWS Publ. Co.

    Google Scholar 

  11. Holland, J. H. (1975). Adaptation in Natural and Artificial Systems. The University of Michigan Press.

    Google Scholar 

  12. Jansen, T., and Wegener, I. (1999). On the analysis of evolutionary algorithms-a proof that crossover really can help. Proc. of ESA’99 (European Symp. On Algorithms), LNCS 1643, 184–193.

    Google Scholar 

  13. Jansen, T., and Wegener, I. (2000a). On the choice of the mutation probability for the (1 + 1)EA. Proc. of PPSN VI (Parallel Problem Solving from Nature), LNCS 1917, 89–98.

    Chapter  Google Scholar 

  14. Jansen, T., and Wegener, I. (2000b). Evolutionary algorithms-how to cope with plateaus of constant fitness and when to reject strings of the same fitness. To appear: IEEE Trans. on Evolutionary Computation.

    Google Scholar 

  15. Jansen, T., and Wegener, I. (2001a). Real royal road functions-where crossover provably is essential. To appear: GECCO’2001.

    Google Scholar 

  16. Jansen, T., and Wegener, I. (2001b). On the analysis of a dynamic evolutionary algorithm. Submitted: ESA’2001.

    Google Scholar 

  17. Mitchell, M., Forrest, S., and Holland, J. H. (1992). The Royal Road function for genetic algorithms: Fitness landscapes and GA performance. Proc. of 1st European Conf. on Artificial Life, 245–254, MIT Press.

    Google Scholar 

  18. Mitchell, M., Holland, J. H., and Forrest, S. (1994). When will a genetic algorithm outperform hill climbing. In J. Cowan, G. Tesauro, and J. Alspector (Eds.): Advances in Neural Information Processing Systems. Morgan Kaufman.

    Google Scholar 

  19. Motwani, R., and Raghavan, P. (1995). Randomized Algorithms. Cambridge Univ. Press.

    Google Scholar 

  20. Rabani, Y., Rabinovich, Y., and Sinclair, A. (1998). A computational view of population genetics. Random Structures and Algorithms 12, 314–334.

    Article  MathSciNet  Google Scholar 

  21. Schwefel, H.-P. (1995). Evolution and Optimum Seeking. Wiley.

    Google Scholar 

  22. Watson, R. A. (2000). Analysis of recombinative algorithms on a non-separable building-block problem. Proc. of FOGA’2000 (6.Workshop Foundations of Genetic Algorithms), to appear.

    Google Scholar 

  23. Wegener, I. (2000). On the expected runtime and the success probability of evolutionary algorithms. Proc. ofWG’2000 (26.Workshop on Graph-Theoretic Concepts in Computer Science), LNCS 1928, 1–10.

    Chapter  Google Scholar 

  24. Wegener, I., and Witt, C. (2001). On the analysis of a simple evolutionary algorithm on quadratic pseudo-boolean functions. Submitted: Journal of Discrete Algorithms.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wegener, I. (2001). Theoretical Aspects of Evolutionary Algorithms. In: Orejas, F., Spirakis, P.G., van Leeuwen, J. (eds) Automata, Languages and Programming. ICALP 2001. Lecture Notes in Computer Science, vol 2076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48224-5_6

Download citation

  • DOI: https://doi.org/10.1007/3-540-48224-5_6

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42287-7

  • Online ISBN: 978-3-540-48224-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics