Skip to main content

Adaptive Objective Space Partitioning Using Conflict Information for Many-Objective Optimization

  • Conference paper
Book cover Evolutionary Multi-Criterion Optimization (EMO 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6576))

Included in the following conference series:

Abstract

In a previous work we proposed a scheme for partitioning the objective space using the conflict information of the current Pareto front approximation found by an underlying multi-objective evolutionary algorithm. Since that scheme introduced additional parameters that have to be set by the user, in this paper we propose important modifications in order to automatically set those parameters. Such parameters control the number of solutions devoted to explore each objective subspace, and the number of generations to create a new partition. Our experimental results show that the new adaptive scheme performs as good as the non-adaptive scheme, and in some cases it outperforms the original scheme.

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. Coello Coello, C.A., Lamont, G.B.: An Introduction to Multi-Objective Evolutionary Algorithms and Their Applications. In: Coello Coello, C.A., Lamont, G.B. (eds.) Applications of Multi-Objective Evolutionary Algorithms, pp. 1–28. World Scientific, Singapore (2004)

    Chapter  Google Scholar 

  2. Purshouse, R.C., Fleming, P.J.: On the Evolutionary Optimization of Many Conflicting Objectives. IEEE Transactions on Evolutionary Algorithms 11(6), 770–784 (2007)

    Article  Google Scholar 

  3. Wagner, T., Beume, N., Naujoks, B.: Pareto-, aggregation-, and indicator-based methods in many-objective optimization. In: Obayashi, S., Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, vol. 4403, pp. 742–756. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  4. Ishibuchi, H., Tsukamoto, N., Nojima, Y.: Evolutionary many-objective optimization: A short review. In: CEC 2008, pp. 2424–2431. IEEE Service Center, Hong Kong (2008)

    Google Scholar 

  5. Teytaud, O.: On the hardness of offline multi-objective optimization. Evolutionary Computation 15(4), 475–491 (2007)

    Article  Google Scholar 

  6. Knowles, J., Corne, D.: Quantifying the effects of objective space dimension in evolutionary multiobjective optimization. In: Obayashi, S., Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, vol. 4403, pp. 757–771. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  7. Farina, M., Amato, P.: On the Optimal Solution Definition for Many-criteria Optimization Problems. In: Proceedings of the NAFIPS-FLINT International Conference 2002, pp. 233–238. IEEE Service Center, Piscataway (2002)

    Google Scholar 

  8. Sato, H., Aguirre, H.E., Tanaka, K.: Controlling Dominance Area of Solutions and its Impact on the Performance of MOEAs. In: Obayashi, S., Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, vol. 4403, pp. 5–20. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  9. Brockhoff, D., Zitzler, E.: Improving Hypervolume-based Multiobjective Evolutionary Algorithms by Using Objective Reduction Methods. In: CEC 2007, pp. 2086–2093. IEEE Press, Singapore (2007)

    Google Scholar 

  10. López Jaimes, A., Coello Coello, C.A., Urías Barrientos, J.E.: Online Objective Reduction to Deal with Many-Objective Problems. In: Ehrgott, M., Fonseca, C.M., Gandibleux, X., Hao, J.-K., Sevaux, M. (eds.) EMO 2009. LNCS, vol. 5467, pp. 423–437. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  11. Deb, K., Saxena, D.K.: Searching for Pareto-optimal solutions through dimensionality reduction for certain large-dimensional multi-objective optimization problems. In: CEC 2006, pp. 3353–3360. IEEE Press, Vancouver (2006)

    Google Scholar 

  12. Brockhoff, D., Zitzler, E.: Are all objectives necessary? On Dimensionality Reduction in Evolutionary Multiobjective Optimization. In: Runarsson, T.P., Beyer, H.-G., Burke, E.K., Merelo-Guervós, J.J., Whitley, L.D., Yao, X. (eds.) PPSN 2006. LNCS, vol. 4193, pp. 533–542. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  13. López Jaimes, A., Coello Coello, C.A., Chakraborty, D.: Objective Reduction Using a Feature Selection Technique. In: 2008 Genetic and Evolutionary Computation Conference (GECCO 2008), pp. 674–680. ACM Press, Atlanta (2008)

    Google Scholar 

  14. Aguirre, H.E., Tanaka, K.: Many-Objective Optimization by Space Partitioning and Adaptive ε-Ranking on MNK-Landscapes. In: Ehrgott, M., Fonseca, C.M., Gandibleux, X., Hao, J.-K., Sevaux, M. (eds.) EMO 2009. LNCS, vol. 5467, pp. 407–422. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  15. López Jaimes, A., Aguirre, H., Tanaka, K., Coello Coello, C.: Objective space partitioning using conflict information for many-objective optimization. In: Schaefer, R., Cotta, C., Kołodziej, J., Rudolph, G. (eds.) PPSN XI. LNCS, vol. 6238, pp. 657–666. Springer, Heidelberg (2010)

    Google Scholar 

  16. Zitzler, E., Thiele, L., Laumanns, M., Fonseca, C.M., da Fonseca, V.G.: Performance Assessment of Multiobjective Optimizers: An Analysis and Review. IEEE Transactions on Evolutionary Computation 7(2), 117–132 (2003)

    Article  Google Scholar 

  17. Carlsson, C., Fullér, R.: Multiple criteria decision making: The case for interdependence. Computers and Operations Research 22(3), 251–260 (1995)

    Article  MATH  Google Scholar 

  18. Schaffer, J.D.: Multiple Objective Optimization with Vector Evaluated Genetic Algorithms. In: Genetic Algorithms and their Applications: Proceedings of the First International Conference on Genetic Algorithms, pp. 93–100. Lawrence Erlbaum, Mahwah (1985)

    Google Scholar 

  19. Wagner, T., Trautmann, H., Naujoks, B.: OCD: Online Convergence Detection for Evolutionary Multi-Objective Algorithms Based on Statistical Testing. In: Ehrgott, M., Fonseca, C.M., Gandibleux, X., Hao, J.-K., Sevaux, M. (eds.) EMO 2009. LNCS, vol. 5467, pp. 198–215. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  20. Sheskin, D.: Handbook of parametric and nonparametric statistical procedures. Chapman & Hall/CRC (2004)

    Google Scholar 

  21. Montgomery, D.C., Runger, G.C.: Applied Statistics and Probability for Engineers, 4th edn. John Wiley & Sons, Chichester (2006)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

López Jaimes, A., Coello Coello, C.A., Aguirre, H., Tanaka, K. (2011). Adaptive Objective Space Partitioning Using Conflict Information for Many-Objective Optimization. In: Takahashi, R.H.C., Deb, K., Wanner, E.F., Greco, S. (eds) Evolutionary Multi-Criterion Optimization. EMO 2011. Lecture Notes in Computer Science, vol 6576. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19893-9_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-19893-9_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19892-2

  • Online ISBN: 978-3-642-19893-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics