Skip to main content

Experimental Genetic Operators Analysis for the Multi-objective Permutation Flowshop

  • Conference paper
  • First Online:
Evolutionary Multi-Criterion Optimization (EMO 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2632))

Included in the following conference series:

Abstract

The aim of this paper is to show the influence of genetic operators such as crossover and mutation on the performance of a genetic algorithm (GA). The GA is applied to the multi-objective permutation flowshop problem. To achieve our goal an experimental study of a set of crossover and mutation operators is presented. A measure related to the dominance relations of different non-dominated sets, generated by different algorithms, is proposed so as to decide which algorithm is the best. The main conclusion is that there is a crossover operator having the best average performance on a very specific set of instances, and under a very specific criterion. Explaining the reason why a given operator is better than others remains an open problem.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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. Armentano, V. A., and Ronconi, D. P.: Tabu search for total tardiness minimization in flowshop scheduling problems. Computers & Operations Research, Vol. 26 (1999) 219–235

    Article  MATH  MathSciNet  Google Scholar 

  2. Bagchi, T. P.: Multiobjective Scheduling by Genetic Algorithm. Kluwer Academic Publishers (1999)

    Google Scholar 

  3. Basseur, M., Seynhaeve, F., Talbi E.: Design of multi-objective evolutionary algorithms: Application to the flow-shop scheduling problem. Congress on Evolutionary Computation (2002) 459–465

    Google Scholar 

  4. http://mscmga.ms.ic.ac.uk/info.html

  5. Bierwirth, C., Mattfeld, D. C., Kopfer, H.: On Permutation Representations for Scheduling Problems. In Proceedings of Parallel Problem Solving from Nature. Lecture Notes in Computer Science, Vol. 1141. Springer-Verlag, Berlin Heidelberg New York (1996) 310–318

    Chapter  Google Scholar 

  6. C. Brizuela, Y. Zhao, N. Sannomiya.: Multi-Objective Flowshop: Preliminary Results. In Zitzler, E., Deb, K., Thiele, L., Coello Coello, C. A., Corne D., eds., Evolutionary Multi-Criterion Optimization, First International Conference, EMO 2001, vol. 1993 of LNCS, Berlin: Springer-Verlag (2001) 443–457

    Google Scholar 

  7. Coello Coello, C. A.: A Comprehensive Survey of Evolutionary-Based Multiobjective Optimization Techniques. Knowledge and Information Systems, Vol. 1, No. 3 (1999) 269–308

    Google Scholar 

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

    Google Scholar 

  9. Deb, K.: Multi-objective Genetic Algorithms: Problem Difficulties and Construction of Test Problems. Evolutionary Computation, 7(3) (1999) 205–230

    Article  Google Scholar 

  10. Deb, K.: Multi-Objective Optimization using Evolutionary Algorithms. John Wiley & Sons (2001)

    Google Scholar 

  11. M. R. Garey, D. S. Johnson and Ravi Sethi.: The Complexity of Flowshop and Jobshop Scheduling. Mathematics of Operations Research, Vol. 1, No. 2 (1976) 117–129

    Article  MATH  MathSciNet  Google Scholar 

  12. Gen, M. and Cheng, R.: Genetic Algorithms & Engineering Design. John Wiley & Sons (1997)

    Google Scholar 

  13. Gen, M. and Cheng, R.: Genetic Algorithms & Engineering Optimization. John Wiley & Sons (1997)

    Google Scholar 

  14. Golberg, D.: Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley (1989)

    Google Scholar 

  15. Isibuchi, H. and Murata, T.: Multi-objective Genetic Local Search Algorithm. Proceedings of the 1996 International Conference on Evolutionary Computation (1996) 119–124

    Google Scholar 

  16. Isibuchi, H. and Murata, T.: Multi-objective Genetic Local Search Algorithm and its application to flowshop scheduling. IEEE Transactions on Systems, Man, and Cybernetics — Part C: Applications and Reviews, 28(3) (1998) 392–403

    Article  Google Scholar 

  17. Knowles J. and Corne D.: On Metrics for Comparing Nondominated Sets. Proceedings of the 2002 Congress on Evolutionary Computation (2002) 711–716

    Google Scholar 

  18. Tamaki, H., and Nishino, E.: A Genetic Algorithm approach to multi-objective scheduling problems with regular and non-regular objective functions. Proceedings of IFAC LSS’98 (1998) 289–294

    Google Scholar 

  19. Srinivas, N. and Deb, K.: Multi-Objective function optimization using nondominated sorting genetic algorithms. Evolutionary Computation, 2(3) (1995) 221–248

    Article  Google Scholar 

  20. Van Veldhuizen, D. and Lamont, G.: On measuring multiobjective evolutionary algorithm performance. Proceedings of the 2000 Congress on Evolutionary Computation (2000) 204–211

    Google Scholar 

  21. Zitzler E., Laumanns M., Thiele L., Fonseca C. M., Grunert da Fonseca V.: Why Quality Assesment of Multiobjective Optimizers Is Difficult. Proceedings of the 2002 Genetic and Evolutionary Computation Conference (GECCO2002) (2002) 666–673

    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

Brizuela, C.A., Aceves, R. (2003). Experimental Genetic Operators Analysis for the Multi-objective Permutation Flowshop. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Thiele, L., Deb, K. (eds) Evolutionary Multi-Criterion Optimization. EMO 2003. Lecture Notes in Computer Science, vol 2632. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36970-8_41

Download citation

  • DOI: https://doi.org/10.1007/3-540-36970-8_41

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-01869-8

  • Online ISBN: 978-3-540-36970-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics