Skip to main content

Differential Evolution and Genetic Algorithms for the Linear Ordering Problem

  • Conference paper
Knowledge-Based and Intelligent Information and Engineering Systems (KES 2009)

Abstract

Linear ordering problem (LOP) is a well know NP-hard optimization problem attractive for its complexity, rich collection of testing data and variety of real world applications. It is also a popular benchmark for novel optimization and metaheuristic algorithms. In this paper, we compare the performance of genetic algorithms and differential evolution as efficient metaheuristic solvers of the LOP.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Jongen, H.T., Meer, K., Triesch, E.: Optimization Theory. Kluwer Academic Publishers, Dordrecht (2004)

    MATH  Google Scholar 

  2. Schiavinotto, T., Stützle, T.: Search space analysis of the linear ordering problem. In: Raidl, G.R., Meyer, J.-A., Middendorf, M., Cagnoni, S., Cardalda, J.J.R., Corne, D., Gottlieb, J., Guillot, A., Hart, E., Johnson, C.G., Marchiori, E. (eds.) EvoIASP 2003, EvoWorkshops 2003, EvoSTIM 2003, EvoROB/EvoRobot 2003, EvoCOP 2003, EvoBIO 2003, and EvoMUSART 2003. LNCS, vol. 2611, pp. 322–333. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  3. Schiavinotto, T., Stützle, T.: Journal of Mathematical Modelling and Algorithms 3(4), 367–402 (2004)

    Google Scholar 

  4. Campos, V., Glover, F., Laguna, M., Martí, R.: J. of Global Optimization 21(4), 397–414 (2001)

    Google Scholar 

  5. Campos, V., Laguna, M., Mart, R.: 331–340 (1999)

    Google Scholar 

  6. Reinelt, G.: The Linear Ordering Problem: Algorithms and Applications. Research and Exposition in Mathematics, vol. 8. Heldermann Verlag, Berlin (1985)

    MATH  Google Scholar 

  7. Mitchell, J.E., Borchers, B.: Technical report, Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180–3590. Accepted for publication in Proceedings of HPOPT 1997, Rotterdam, The Netherlands (September 1997)

    Google Scholar 

  8. Huang, G., Lim, A.: GECCO, pp. 1053–1064 (2003)

    Google Scholar 

  9. Snásel, V., Krömer, P., Platos, J.: 19th International Workshop on Database and Expert Systems Applications (DEXA Workshops 2008), Turin, Italy, September 1-5, pp. 566–570. IEEE Computer Society, Los Alamitos (2008) ISBN 978-0-7695-3299-8

    Book  Google Scholar 

  10. Snasel, V., Platos, J., Kromer, P., Ouddane, N.: Proceedings of 7th International Conference on Computer Information Systems and Industrial Management Applications (CISIM), Ostrava, Czech Republic, pp. 71–77. IEEE Computer Society, Los Alamitos (2008)

    Google Scholar 

  11. Mitchell, M.: An Introduction to Genetic Algorithms. MIT Press, Cambridge (1996)

    MATH  Google Scholar 

  12. Ashlock, D.: Evolutionary computation for modeling and optimization. Springer, Heidelberg (2005)

    MATH  Google Scholar 

  13. Price, K.V., Storn, R.M., Lampinen, J.A.: Differential Evolution A Practical Approach to Global Optimization. Natural Computing Series. Springer, Berlin (2005)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Snášel, V., Krömer, P., Platoš, J. (2009). Differential Evolution and Genetic Algorithms for the Linear Ordering Problem. In: Velásquez, J.D., Ríos, S.A., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based and Intelligent Information and Engineering Systems. KES 2009. Lecture Notes in Computer Science(), vol 5711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04595-0_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-04595-0_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04594-3

  • Online ISBN: 978-3-642-04595-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics