Skip to main content

HEMH2: An Improved Hybrid Evolutionary Metaheuristics for 0/1 Multiobjective Knapsack Problems

  • Conference paper
Simulated Evolution and Learning (SEAL 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7673))

Included in the following conference series:

Abstract

Hybrid evolutionary metaheuristics tend to enhance search capabilities, by improving intensification and diversification, through incorporating different cooperative metaheuristics. In this paper, an improved version of the Hybrid Evolutionary Metaheuristics (HEMH) [7] is presented. Unlike HEMH, HEMH2 uses simple inverse greedy algorithm to construct its initial population. Then, the search efforts are directed to improve these solutions by exploring the search space using binary differential evolution. After a certain number of evaluations, path relinking is applied on high quality solutions to investigate the non-visited regions in the search space. During evaluations, the dynamic-sized neighborhood structure is adopted to shrink/extend the mating/updating range. Furthermore, the Pareto adaptive epsilon concept is used to control the archiving process with preserving the extreme solutions. HEMH2 is verified against its predecessor HEMH and the MOEA/D [13], using a set of MOKSP instances from the literature. The experimental results indicate that the HEMH2 is highly competitive and can achieve better results.

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. Blum, C., Roli, A.: Metaheuristics in combinatorial optimization: Overview and conceptual comparison. ACM Computing Surveys (CSUR) 35(3), 268–308 (2003)

    Article  Google Scholar 

  2. Chakraborty, U.K. (ed.): Advances in Differential Evolution. SCI, vol. 143. Springer, Berlin (2008)

    MATH  Google Scholar 

  3. Deb, K., Pratab, A., Agrawal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGAII. IEEE Trans. on Evolutionary Computation 6(2), 182–197 (2002)

    Article  Google Scholar 

  4. Hernández-Díaz, A.G., Santana-Quintero, L.V., Coello, C.A., Luque, J.M.: Pareto-adaptive epsilon-dominance. Evolutionary Computation 15(4), 493–517 (2007)

    Article  Google Scholar 

  5. 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), 402–412 (2002)

    Article  Google Scholar 

  6. Knowles, J., Corne, D.: On metrics for comparing nondominated sets. In: IEEE International Conference in E-Commerce Technology, vol. 1, pp. 711–716 (2002)

    Google Scholar 

  7. Kafafy, A., Bounekkar, A., Bonnevay, S.: A hybrid evolutionary metaheuristics (HEMH) applied on 0/1 multiobjective knapsack problems. In: GECCO 2011, pp. 497–504 (2011)

    Google Scholar 

  8. Kafafy, A., Bounekkar, A., Bonnevay, S.: Hybrid metaheuristics based on MOEA/D for 0/1 multiobjective knapsack problems: A comparative study. In: IEEE World Congress on Computational Intelligence (WCCI 2012), Brisbane, June 10-15, pp. 3616–3623 (2012)

    Google Scholar 

  9. Lozanoa, M., García-Martínez, C.: Hybrid metaheuristics with evolutionary algorithms specializing in intensification and diversification: Overview and progress report. Computers and Operations Research 37(3), 481–497 (2010)

    Article  MathSciNet  Google Scholar 

  10. Miettinen, K.: Nonlinear Multiobjective Optimization. Kluwer, Boston (1999)

    MATH  Google Scholar 

  11. Price, K.V., Storn, R.M., Lampinen, J.A.: Differential Evolution: A Practical Approach to Global Optimization, 1st edn. Natural Computing Series. Springer (2005)

    Google Scholar 

  12. Ribeiro, C., Uchoa, E., Werneck, R.F.: A hybrid GRASP with perturbations for the Steiner problem in graphs. Informs Journal on Computing 14(3), 228–246 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  13. Zhang, Q., Li, H.: MOEA/D: A Multiobjective Evolutionary Algorithm Based on Decomposition. IEEE Trans. on Evolutionary Computation 11(6), 712–731 (2007)

    Article  Google Scholar 

  14. Zhang, M., Zhao, S., Wang, X.: Multi-objective evolutionary algorithm based on adaptive discrete Differential Evolution. In: IEEE Congress on Evolutionary Computation (CEC 2009), pp. 614–621 (2009)

    Google Scholar 

  15. Zitzler, E., Thiele, L.: Multiobjective evolutionary algorithms: A comparative case study and the strength Pareto evolutionary algorithm. IEEE Transaction on Evolutionary Computation 3, 257–271 (1999)

    Article  Google Scholar 

  16. Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: Improving the Strength Pareto Evolutionary Algorithm for Multiobjective Optimization. In: Proceedings of Evolutionary Methods for Design, Optimization and Control with Application to Industrial Problems (EUROGEN 2001), Athena, Greece, pp. 95–100 (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kafafy, A., Bounekkar, A., Bonnevay, S. (2012). HEMH2: An Improved Hybrid Evolutionary Metaheuristics for 0/1 Multiobjective Knapsack Problems. In: Bui, L.T., Ong, Y.S., Hoai, N.X., Ishibuchi, H., Suganthan, P.N. (eds) Simulated Evolution and Learning. SEAL 2012. Lecture Notes in Computer Science, vol 7673. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34859-4_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-34859-4_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34858-7

  • Online ISBN: 978-3-642-34859-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics