Skip to main content

Hybrid Estimation of Distribution Algorithm for Multiobjective Knapsack Problem

  • Conference paper
Evolutionary Computation in Combinatorial Optimization (EvoCOP 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3004))

Abstract

We propose a hybrid estimation of distribution algorithm (MOHEDA) for solving the multiobjective 0/1 knapsack problem (MOKP). Local search based on weighted sum method is proposed, and random repair method (RRM) is used to handle the constraints. Moreover, for the purpose of diversity preservation, a new and fast clustering method, called stochastic clustering method (SCM), is also introduced for mixture-based modelling. The experimental results indicate that MOHEDA outperforms several other state-of-the-art algorithms.

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. Jaszkiewicz, A.: On the Performance of Multiple-Objective Genetic Local Search on the 0/1 Knapsack Problem-A comparative Experiment. IEEE Transactions on Evolutionary Computation 6(4) ( August 2002)

    Google Scholar 

  2. Coello, C., Carlos, A.: An Updated Survey of GA-Based Multiobjective Optimization Techniques. Technical Report Lania-RD-98-08, Laboratorio Nacional de Informática Avanzada (LANIA), Xalapa, Veracruz, México (December 1998)

    Google Scholar 

  3. Thierens, D., Bosman, P.A.N.: Multi-Objective Mixture-based Iterated Density Estimation Evolutionary Algorithms. In: Proceedings of the Genetic and Evolutionary Computation Conference (GECCO 2001) (2001)

    Google Scholar 

  4. Zitzler, E., Thiele, L.: Multiobjective Evolutionary Algorithms: A Comparative Case Study and the Strength Pareto Approach. IEEE Transactions on Evolutionary Computation 3(4), 257–271 (1999)

    Article  Google Scholar 

  5. Ishibuchi, H., Murata, T.: Multi-objective Genetic Local Search Algorithm. In: Proceedings of 1996 IEEE International Conference on Evolutionary computation( ICEC 1996), Piscataway, NJ, May 20-22, pp. 119–124. IEEE, Los Alamitos (1996)

    Chapter  Google Scholar 

  6. Mühlenbein, H., Paaß, G.: From Recombination of Genes to the Estimation of Distributions I. Binary parameters. In: Ebeling, W., Rechenberg, I., Voigt, H.-M., Schwefel, H.-P. (eds.) PPSN 1996. LNCS, vol. 1141, pp. 178–187. Springer, Heidelberg (1996)

    Chapter  Google Scholar 

  7. Knowles, J., Corne, D.: M-PAES: A Memetic Algorithm for Multiobjective Optimization. In: Proceeding of 2000 Congress on Evolutionary Computation, July 2000., vol. 1, pp. 325–332. IEEE Press, Piscataway (2000)

    Google Scholar 

  8. Guntsch, M., Middendorf, M.: Solving Multi-criteria Optimization Problems with Population-Based ACO. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Deb, K., Thiele, L. (eds.) EMO 2003. LNCS, vol. 2632, pp. 464–478. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  9. Marco, L., Jirí, O.: Bayesian Optimization Algorithms for Multi- Objective Optimization. In: Parallel Problem Solving from Nature - PPSN VII, Granada, ES, pp. 298–307. Springer, Heidelberg (2002) ISBN 3-540-444139-5

    Google Scholar 

  10. Larrañaga, P., Lozano, J.A.: Estimation of Distribution Algorithms: A New Tools for Evolutionary Computation. Kluwer Academic Publishers, Dordrecht (2001)

    Google Scholar 

  11. Zhang, Q., Sun, J., Tsang, E.P.K., Ford, J.A.: Hybrid Estimation of Distribution Algorithm for Global Optimisation, accepted in Engineering computations (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, H., Zhang, Q., Tsang, E., Ford, J.A. (2004). Hybrid Estimation of Distribution Algorithm for Multiobjective Knapsack Problem. In: Gottlieb, J., Raidl, G.R. (eds) Evolutionary Computation in Combinatorial Optimization. EvoCOP 2004. Lecture Notes in Computer Science, vol 3004. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24652-7_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-24652-7_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21367-3

  • Online ISBN: 978-3-540-24652-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics