Skip to main content

Distance Based Ranking in Many-Objective Particle Swarm Optimization

  • Conference paper
Book cover Parallel Problem Solving from Nature – PPSN X (PPSN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5199))

Included in the following conference series:

Abstract

Optimization problems with many objectives open new issues for multi-objective optimization algorithms and particularly Particle Swarm Optimization. Many of the existing algorithms are able to solve problems of low number of objectives, but as soon as we increase the number of objectives, their performances get even worse than random search methods. This paper gives an overview on Multi-objective Particle Swarm Optimization when having many objectives and parameters. Furthermore, two new variants of MOPSO are proposed which are based on ranking of the non-dominated solutions. The proposed distance based ranking in MOPSO improves the quality of the solutions for even very large objective and parameter spaces. The quality of the new proposed MOPSO methods has been tested and compared to the random search and NSGA-II methods. The tests cover 3 to 20 objectives and 20 to 100 parameters.

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 149.00
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. Alvarez-Benitez, J., Everson, R., Fieldsend, J.: A MOPSO algorithm based exclusively on Pareto dominance concepts. In: Evolutionary Multi-Criterion Optimization, pp. 459–473 (2005)

    Google Scholar 

  2. Bentley, P., Wakefield, J.: Finding acceptable Pareto-optimal solutions using multiobjective genetic algorithms. In: Soft Computing in Engineering Design and Manufacturing. Springer, Heidelberg (1997)

    Google Scholar 

  3. Branke, J., Mostaghim, S.: About selecting the personal best in multi-objective particle swarm optimization. In: Parallel Problem Solving from Nature, pp. 523–532 (2006)

    Google Scholar 

  4. Coello Coello, C., Van Veldhuizen, D., Lamont, G.: Evolutionary Algorithms for Solving Multi-Objective Problems. Kluwer Academic Publishers, Dordrecht (2002)

    Book  MATH  Google Scholar 

  5. Corne, D., Knowles, J.: Techniques for highly multiobjective optimisation: Some nondominated points are better than others. In: Genetic and Evolutionary Computation Conference (2007)

    Google Scholar 

  6. Deb, K.: Multi-Objective Optimization using Evolutionary Algorithms. John Wiley, Chichester (2001)

    MATH  Google Scholar 

  7. Deb, K., Agrawal, S., Pratab, A., Meyarivan, T.: A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II. In: Parallel Problem Solving from Nature, pp. 849–858 (2000)

    Google Scholar 

  8. Deb, K., Thiele, L., Laumanns, M., Zitzler, E.: Scalable multi-objective optimization test problems. In: Congress on Evolutionary Computation, pp. 825–830 (2002)

    Google Scholar 

  9. di Pierro, F., Djordjevic, S., Khu, S., Savic, D., Walters, G.: Automatic calibration of urban drainage model using a novel multi-objective GA. In: Urban Drainage Modelling, pp. 41–52 (2004)

    Google Scholar 

  10. Drechsler, D., Drechsler, R., Becker, B.: Multi-objective optimisation based on relation favour. In: Evolutionary Multi-Criterion Optimization, pp. 156–166 (2001)

    Google Scholar 

  11. Engelbrecht, A.: Fundamentals of Computational Swarm Intelligence. John Wiley, Chichester (2006)

    Google Scholar 

  12. Fieldsend, J., Singh, S.: A multi-objective algorithm based upon particle swarm optimisation, an efficient data structure and turbulence. In: The U.K. Workshop on Computational Intelligence, pp. 34–44 (2002)

    Google Scholar 

  13. Kennedy, J., Eberhart, R.: Swarm Intelligence. Morgan Kaufmann, San Francisco (2001)

    Google Scholar 

  14. Knowles, J., Corne, D.: Quantifying the effects of objective space dimension in evolutionary multiobjective optimization. In: Evolutionary Multi-Criterion Optimization, pp. 757–771 (2007)

    Google Scholar 

  15. Li, X.: A non-dominated sorting particle swarm optimizer for multiobjective optimization. In: Genetic and Evolutionary Computation, pp. 37–48 (2003)

    Google Scholar 

  16. Li, X.: Better spread and convergence: Particle swarm multiobjective optimization using the maximin fitness function. In: Genetic and Evolutionary Computation, pp. 117–128 (2004)

    Google Scholar 

  17. Lovberg, M., Krink, T.: Extending particle swarm optimization with self-organized criticality. In: Conference on Evolutionary Computation, pp. 1588–1593 (2002)

    Google Scholar 

  18. Mostaghim, S., Teich, J.: Strategies for finding good local guides in multi-objective particle swarm optimization. In: IEEE Swarm Intelligence Symposium (2003)

    Google Scholar 

  19. Purshouse, R.: On the Evolutionary Optimisation of Many Objectives. PhD thesis, Department of Automatic Control and Systems Engineering, University of Sheffield, UK (2003)

    Google Scholar 

  20. Purshouse, R., Fleming, P.: Evolutionary multi-objective optimisation: An exploratory analysis. In: Congress on Evolutionary Computation, pp. 2066–2073 (2003)

    Google Scholar 

  21. Reyes-Sierra, M., Coello Coello, C.: Multi-objective particle swarm optimizers: A survey of the state-of-the-art. International Journal of Computational Intelligence Research 2(3), 287–308 (2006)

    MathSciNet  Google Scholar 

  22. Xie, X., Zhang, W., Yang, Z.: Adaptive particle swarm optimization on individual level. In: The Sixth International Conference on Signal Processing, pp. 1215–1218 (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mostaghim, S., Schmeck, H. (2008). Distance Based Ranking in Many-Objective Particle Swarm Optimization. In: Rudolph, G., Jansen, T., Beume, N., Lucas, S., Poloni, C. (eds) Parallel Problem Solving from Nature – PPSN X. PPSN 2008. Lecture Notes in Computer Science, vol 5199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87700-4_75

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-87700-4_75

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87699-1

  • Online ISBN: 978-3-540-87700-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics