Skip to main content

A Diversity Management Operator for Evolutionary Many-Objective Optimisation

  • Conference paper
Evolutionary Multi-Criterion Optimization (EMO 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5467))

Included in the following conference series:

Abstract

The proximity of an approximation set to the Pareto-optimal front of a multiobjective optimisation problem and the diversity of the solutions within the approximation set are two essential requirements in evolutionary multiobjective optimisation. These two requirements may be found to be in conflict with each other in many-objective optimisation scenarios deploying Pareto-dominance selection alongside active diversity promotion mechanisms. This conflict is hindering the optimisation process of some of the most established MOEAs and introducing problems such as the problem of dominance resistance and speciation. In this study, a diversity management operator (DMO) for controlling and promoting the diversity requirement in many-objective optimisation scenarios is introduced and tested on a set of test functions with increasing numbers (6 to 12) of objectives. The results achieved by the proposed strategy outperform results achieved by a reputed and representative MOEA in terms of both criteria: convergence and diversity.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bosman, P.A.N., Thierens, D.: The balance between proximity and diversity in multiobjective evolutionary algorithms. IEEE Transactions on Evolutionary Computation 7(2), 174–188 (2003)

    Article  Google Scholar 

  2. Deb, K., Pratap, A., Agrawal, S., Meyarivan, T.: A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 6(2), 182–197 (2002)

    Article  Google Scholar 

  3. Purshouse, R.C., Fleming, P.J.: On the evolutionary optimisation of many conflicting objectives. IEEE Trans Evolutionary Computation 11(6), 770–784 (2007)

    Article  Google Scholar 

  4. Purshouse, R.C., Fleming, P.J.: Evolutionary many-objective optimisation: An exploratory analysis. In: IEEE Neural Networks Council (ed.), Proceedings of the 2003 Congress on Evolutionary Computation (CEC 2003). IEEE Service Center, Piscataway (2003)

    Google Scholar 

  5. Deb, K., Goldberg, D.E.: An investigation of niche and species formation in genetic function optimization. In: Schaffer, J.D. (ed.) Proceedings of the Third International Conference on Genetic Algorithms, pp. 42–50. Morgan Kaufmann, San Francisco (1989)

    Google Scholar 

  6. Ikeda, K., Kita, H., Kobayashi, S.: Failure of Pareto-based MOEAs: Does nondominated really mean near to optimal? In: IEEE Neural Networks Council (ed.), Proceedings of the 2001 Congress on Evolutionary Computation (CEC 2001), vol. 2, pp. 957–962. IEEE Service Center, Piscataway (2001)

    Google Scholar 

  7. Zitzler, E.: Evolutionary Algorithms for Multiobjective Optimization: Methods and Applications, PhD thesis, Swiss Federal Institute of Technology (ETH), Zurich, Switzerland (1999)

    Google Scholar 

  8. Deb, K., Thiele, L., Laumanns, M., Zitzler, E.: Scalable Multi-Objective Optimization Test Problems. In: Proceedings of the 2002 Congress on Evolutionary Computation (CEC 2002). IEEE Service Center, Piscataway (2002)

    Google Scholar 

  9. Deb, K., Agrawal, R.B.: Simulated Binary Crossover for Continuous Search Space. Complex Systems 9, 115–148 (1995)

    MathSciNet  MATH  Google Scholar 

  10. Khare, V., Yao, X., Deb, K.: Performance scaling of multi-objective evolutionary algorithms. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Deb, K., Thiele, L. (eds.) EMO 2003. LNCS, vol. 2632, pp. 376–390. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  11. Deb, K., Goyal, M.: A combined genetic adaptive search (geneAS) for engineering design. Computer Science and Informatics 26(4), 30–45 (1996)

    Google Scholar 

  12. Van Veldhuizen, D.A.: Multiobjective Evolutionary Algorithms: Classifications, Analyses, and New Innovations, PhD thesis, Air Force Institute of Technology (1999)

    Google Scholar 

  13. Deb, K.: Multi-Objective Optimization Using Evolutionary Algorithms. John Wiley & Sons, New York (2001)

    MATH  Google Scholar 

  14. Fonseca, C.M., Fleming, P.J.: Multiobjective Optimization and Multiple Constraint Handling with Evolutionary Algorithms - Part I: A Unified Formulation. IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans 28(1), 26–37 (1998)

    Article  Google Scholar 

  15. Branke, J., Deb, K.: Integrating user preferences into evolutionary multiobjective optimization. In: Jin, Y. (ed.) Knowledge Incorporation in Evolutionary Computation, pp. 461–477. Springer, Heidelberg (2004)

    Google Scholar 

  16. Toffolo, A., Benini, E.: Genetic Diversity as an Objective in Multi-objective Evolutionary Algorithms. Evolutionary Computation Journal 11(2), 151–167

    Google Scholar 

  17. Zitzler, E., Laumanns, M., Thiele, L.: SPEA2: Improving the Strength Pareto Evolutionary Algorithm for Multiobjective Optimization. In: Giannakoglou, K.C., et al. (eds.) Evolutionary Methods for Design, Optimisation and Control with Application to Industrial Problems (EUROGEN 2001), 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

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Adra, S.F., Fleming, P.J. (2009). A Diversity Management Operator for Evolutionary Many-Objective Optimisation. In: Ehrgott, M., Fonseca, C.M., Gandibleux, X., Hao, JK., Sevaux, M. (eds) Evolutionary Multi-Criterion Optimization. EMO 2009. Lecture Notes in Computer Science, vol 5467. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01020-0_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-01020-0_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01019-4

  • Online ISBN: 978-3-642-01020-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics