Skip to main content

Guiding Single-Objective Optimization Using Multi-objective Methods

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2611))

Abstract

This paper investigates the possibility of using multi-objective methods to guide the search when solving single-objective optimization problems with genetic algorithms.Using the job shop scheduling problem as an example,experiments demonstrate that by using helper-objectives (additional objectives guiding the search),the average performance of a standard GA can be significantly improved.The helper-objectives guide the search towards solutions containing good building blocks and helps the algorithm avoid local optima.The experiments reveal that the approach only works if the number of helper-objectives used simultaneously is low.However,a high number of helper-objectives can be used in the same run by changing the helper-objectives dynamically.

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. J. L. Bentley, H. T. Kung, M. Schkolnick,and C. D. Thompson.On the Average Number of Maxima in a Set of Vectors and Applications.Journal of the ACM, 25:536–543,1978.

    Article  MATH  MathSciNet  Google Scholar 

  2. S. Bleuler, M. Brack, L. Thiele, and C. Zitzler. Multiobjective Genetic Programming:Reducing Bloat using SPEA2.In Proceedings of CEC’ 2001,pages 536–543, 2001.

    Google Scholar 

  3. D. Corne, N. Jerram, J. Knowles, and M. Oates. PESA-II:Region-based Selection in Evolutionary Multiobjective Optimization. In L. Spector et al., editors, Proceedings of GECCO-2001:Genetic and Evolutionary Computation Conference, pages 283–290. Morgan Kaufmann, 2001.

    Google Scholar 

  4. E. D. de Jong, R. A. Watson, and J. B. Pollack.Reducing Bloat and Promoting Diversity using Multi-Objective Methods. In L. Spector et al., editors, Proceedings of GECCO’ 2001, pages 11–18. Morgan Kaufmann, 2001.

    Google Scholar 

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

    Article  Google Scholar 

  6. H. Fisher and G. L. Thompson. Probabilistic learning combinations of local job-shop scheduling rules.In J. F. Muth and G. L. Thompson, editors, Industrial Scheduling, pages 225–251. Prentice Hall, 1963.

    Google Scholar 

  7. B. Giffler and G. L. Thompson. Algorithms for solving production scheduling problems. Operations Research, 8:487–503, 1960.

    Article  MATH  MathSciNet  Google Scholar 

  8. M. T. Jensen. Robust and Flexible Scheduling with Evolutionary Computation. PhD thesis, Department of Computer Science, University of Aarhus, 2001.

    Google Scholar 

  9. M. T. Jensen. Reducing the Run-time Complexity of the NSGA-II. In submission, 2002. Currently available from http://www.daimi.au.dk/~mjensen/.

  10. J. D. Knowles, R. A. Watson, and D. W. Corne. Reducing Local Optima in Single-Objective Problems by Multi-objectivization.In E. Zitzler et al., editors, Proceedings of the First International Conference on Evolutionary Multi-criterion Optimization (EMO’ 01), pages 269–283. Springer-Verlag, 2001.

    Google Scholar 

  11. S. Lawrence. Resource constrained project scheduling:an experimental investigation of heuristic scheduling techniques (Supplement). Graduate School of Industrial Administration, Carnegie-Mellon University, 1984.

    Google Scholar 

  12. S. J. Louis and G. J. E. Rawlins. Pareto Optimality, GA-easiness and Deception. In S. Forrest, editor, Proceedings of ICGA-5, pages 118–123. Morgan Kaufmann, 1993.

    Google Scholar 

  13. J. Noble and R. A. Watson. Pareto coevolution:Using performance against coevolved opponents in a game as dimensions for Pareto selection. In L. Spector et al., editors, Proceedings of GECCO’ 2001, pages 493–500. Morgan Kaufmann, 2001.

    Google Scholar 

  14. J. S. Scharnow, K. Tinnefeld, and I. Wegener. Fitness Landscapes Based on Sorting and Shortest Paths Problems. In J. J. Merelo Guerv ós et al., editors, Proceedings of PPSN VII, volume 2439 of LNCS, pages 54–63. Springer-Verlag, 2002.

    Google Scholar 

  15. R. A. Watson and J. B. Pollack. Symbiotic Combination as an Alternative to Sexual Recombination in Genetic Algorithms. In M. Schoenauer et al., editors, Proceedings of PPSN VI, volume 1917 of LNCS, pages 425–434. Springer-Verlag, 2000.

    Google Scholar 

  16. E. Zitzler and L. Thiele. Multiobjective Evolutionary Algorithms:A Comparative Case study and the Strength Pareto Approach. IEEE Transactions on Evolutionary Computation, 3(4):257–271, November 1999.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jensen, M.T. (2003). Guiding Single-Objective Optimization Using Multi-objective Methods. In: Cagnoni, S., et al. Applications of Evolutionary Computing. EvoWorkshops 2003. Lecture Notes in Computer Science, vol 2611. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36605-9_25

Download citation

  • DOI: https://doi.org/10.1007/3-540-36605-9_25

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00976-4

  • Online ISBN: 978-3-540-36605-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics