Skip to main content

A Hybrid Genetic Algorithm for the Hexagonal Tortoise Problem

  • Conference paper
  • First Online:
Genetic and Evolutionary Computation — GECCO 2003 (GECCO 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2723))

Included in the following conference series:

Abstract

We propose a hybrid genetic algorithm for the hexagonal tortoise problem. We combined the genetic algorithm with an efficient local heuristic and aging mechanism. Another search heuristic which focuses on the space around existing solutions is also incorporated into the genetic algorithm. With the proposed algorithm, we could find the optimal solutions of up to a fairly large problem.

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 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. S. J. Choi. Gusuryak (a reprint). Shungshin Womens University Press, Seoul, Korea, 1983.

    Google Scholar 

  2. Y. H. Jun. Mysteries of mathematics: The order of the universe hidden in numbers. Dong-A Science, 14(7):68–77, 1999.

    Google Scholar 

  3. S. K. Lee, D. I. Seo, and B. R. Moon. A hybrid genetic algorithm for optimal hexagonal tortoise problem. In Genetic and Evolutionary Computation Conference, page 689, 2002.

    Google Scholar 

  4. D. E. Goldberg. Genetic Algorithms in Search, Optimization, and Machine Learning. Addison Wesley, 1989.

    Google Scholar 

  5. S. Forrest and M. Mitchell. Relative building-block fitness and the building-block hypothesis. In Foundations of Genetic Algorithms, volume 2, pages 109–126. Morgan Kaufmann, 1993.

    Google Scholar 

  6. J. Horn and D. E. Goldberg. Genetic algorithm difficulty and the modality of fitness landscapes. In Foundations of Genetic Algorithms, volume 3, pages 243–270. Morgan Kaufmann, 1995.

    Google Scholar 

  7. T. Jones and S. Forrest. Fitness distance correlation as a measure of problem difficulty for genetic algorithms. In Sixth International Conference on Genetic Algorithms, pages 184–192. Morgan Kaufmann, 1995.

    Google Scholar 

  8. E. Aarts and J. K. Lenstra, editors. Local Search in Combinatorial Optimization. John Wiley & Sons, 1997.

    Google Scholar 

  9. F. Glover. Tabu search: Part I,. ORSA Journal of Computing, 3(1):190–206, 1977.

    Google Scholar 

  10. H. R. Lourenço, O. C. Martin, and T. Stützle. Iterated local search. In F. W. Glover and G. Kochenberger, editors, Handbook of Metaheuristic, chapter 11. Kluwer Academic Publisher, 2002.

    Google Scholar 

  11. O. Martin, S. W. Otto, and E. W. Felten. Large-step markov chains for the traveling salesman problem. Complex Systems, 5:299–326, 1991.

    MATH  MathSciNet  Google Scholar 

  12. Z. Michalewicz. Genetic Algorithms + Data Structures = Evolutionary Programs. Springer, 1992.

    Google Scholar 

  13. A. Ghosh, S. Tsutsui, and T. Tanaka. Function optimization in nonstationary environment using steady state genetic algorithms with aging of individuals. In IEEE International Conference on Evolutionary Computation, pages 666–671, 1998.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Choe, H., Choi, SS., Moon, BR. (2003). A Hybrid Genetic Algorithm for the Hexagonal Tortoise Problem. In: Cantú-Paz, E., et al. Genetic and Evolutionary Computation — GECCO 2003. GECCO 2003. Lecture Notes in Computer Science, vol 2723. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45105-6_98

Download citation

  • DOI: https://doi.org/10.1007/3-540-45105-6_98

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40602-0

  • Online ISBN: 978-3-540-45105-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics