Skip to main content

A MOPSO Algorithm Based Exclusively on Pareto Dominance Concepts

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3410))

Abstract

In extending the Particle Swarm Optimisation methodology to multi-objective problems it is unclear how global guides for particles should be selected. Previous work has relied on metric information in objective space, although this is at variance with the notion of dominance which is used to assess the quality of solutions. Here we propose methods based exclusively on dominance for selecting guides from a non-dominated archive. The methods are evaluated on standard test problems and we find that probabilistic selection favouring archival particles that dominate few particles provides good convergence towards and coverage of the Pareto front. We demonstrate that the scheme is robust to changes in objective scaling. We propose and evaluate methods for confining particles to the feasible region, and find that allowing particles to explore regions close to the constraint boundaries is important to ensure convergence to the Pareto front.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Srinivas, N., Deb, K.: Multiobjective Optimization Using Nondominated Sorting in Genetic Algorithms. IEEE Transactions on Evolutionary Computation 2(3), 221–248 (1995)

    Google Scholar 

  2. 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 

  3. Laumanns, M., Zitzler, E., Thiele, L.: A Unified Model for Multi-Objective Evolutionary Algorithms with Elitism. In: Proceedings of the 2000 Congress on Evolutionary Computation, pp. 46–53 (2000)

    Google Scholar 

  4. Kennedy, J., Eberhart, R.: Particle Swarm Optimization. In: Proceedings of the Fourth IEEE International Conference on Neural Networks, pp. 1942–1948 (1995)

    Google Scholar 

  5. Hu, X., Eberhart, R.: Multiobjective Optimization Using Dynamic Neighborhood Particle Swarm Optimization. In: Proceedings of the 2002 Congess on Evolutionary Computation. IEEE Press, Los Alamitos (2002)

    Google Scholar 

  6. Parsopoulos, K., Vrahatis, M.: Particle Swarm Optimization Method in Multiobjective Problems. In: Nyberg, K., Heys, H.M. (eds.) SAC 2002. LNCS, vol. 2595, pp. 603–607. Springer, Heidelberg (2003)

    Google Scholar 

  7. Coello, C., Lechunga, M.: MOPSO: A Proposal for Multiple Objective Particle Swarm Optimization. In: Proceedings of the 2002 Congress on Evolutionary Computation, pp. 1051–1056. IEEE Press, Los Alamitos (2002)

    Google Scholar 

  8. Fieldsend, J., Singh, S.: A Multi-Objective Algorithm based upon Particle Swarm Optimisation, an Efficient Data Structure and Turbulence. In: Proceedings of UK Workshop on Computational Intelligence (UKCI 2002), pp. 37–44 (2002)

    Google Scholar 

  9. Mostaghim, S., Teich, J.: Strategies for Finding Good Local Guides in MultiObjective Particle Swarm Optimization (MOPSO). In: IEEE 2003 Swarm Intelligence Symposium, pp. 26–33 (2003)

    Google Scholar 

  10. Coello, C., Pulido, G., Lechunga, M.: Handling Multiple Objectives with Particle Swarm Optimization. IEEE Transactions on Evolutionary Computation 8(3), 256–279 (2004)

    Article  Google Scholar 

  11. Hanne, T.: On the convergence of multiobjective evolutionary algorithms. European Journal of Operational Research 117, 553–564 (1999)

    Article  MATH  Google Scholar 

  12. Fieldsend, J., Everson, R., Singh, S.: Using Unconstrained Elite Archives for Multi–Objective Optimisation. IEEE Transactions on Evolutionary Computation 7, 305–323 (2003)

    Article  Google Scholar 

  13. Deb, K., Thiele, L., Laumanns, M., Zitzler, E.: Scalable Multi–Objective Optimization Test Problems. In: Congress on Evolutionary Computation (CEC 2002), vol. 1, pp. 825–830 (2002)

    Google Scholar 

  14. Veldhuizen, D.V., Lamont, G.: Multiobjective Evolutionary Algorithms Research: A History and Analysis. Technical Report TR-98-03, Dept. Elect. Comput. Eng., Graduate School of Eng., Air Force Institute Technol., Wright-Patterson AFB, OH (1998)

    Google Scholar 

  15. Fieldsend, J.: Multi–Objective Particle Swarm Optimization Methods. Technical Report No. 419, Department of Computer Science, University of Exeter (2004)

    Google Scholar 

  16. van den Bergh, F.: An Analysis of Particle Swarm Optimizers. PhD thesis, Faculty of Natural and Agricultural Science, University of Pretoria (2001)

    Google Scholar 

  17. Clerc, M.: The Swarm and the Queen: Towards a Deterministic and Adaptative Particle Swarm Optimization. In: Proceedings of the Congress on Evolutionary Computation, pp. 1951–1957. IEEE Press, Los Alamitos (1999)

    Google Scholar 

  18. Mostaghim, S., Teich, J.: Personal communication (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Alvarez-Benitez, J.E., Everson, R.M., Fieldsend, J.E. (2005). A MOPSO Algorithm Based Exclusively on Pareto Dominance Concepts. In: Coello Coello, C.A., Hernández Aguirre, A., Zitzler, E. (eds) Evolutionary Multi-Criterion Optimization. EMO 2005. Lecture Notes in Computer Science, vol 3410. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31880-4_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-31880-4_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24983-2

  • Online ISBN: 978-3-540-31880-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics