Skip to main content

Performance of Chaos Driven Differential Evolution on Shifted Benchmark Functions Set

  • Conference paper
International Joint Conference SOCO’13-CISIS’13-ICEUTE’13

Abstract

This research deals with the extended investigations on the concept of a chaos-driven evolutionary algorithm Differential Evolution (DE). This paper is aimed at the embedding of set of six discrete dissipative chaotic systems in the form of chaos pseudo random number generator for DE. Repeated simulations were performed on the set of two shifted benchmark test functions in higher dimensions. Finally, the obtained results are compared with canonical DE.

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. Price, K.: An Introduction to Differential Evolution. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 79–108. McGraw-Hill, London (1999) ISBN 007-709506-5

    Google Scholar 

  2. Tasgetiren, M.F., Suganthan, P.N., Pan, Q.K.: An Ensemble of Discrete Differential Evolution Algorithms for Solving the Generalized Traveling Salesman Problem. Applied Mathematics and Computation 215(9), 3356–3368 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  3. Onwubolu, G., Davendra, D. (eds.): Differential Evolution: A handbook for Permutation-based Combinatorial Optimization. Springer, Germany (2009)

    Google Scholar 

  4. Das, S., Konar, A., Chakraborty, U.K., Abraham, A.: Differential evolution with a neighborhood based mutation operator: a comparative study. IEEE Transactions on Evolutionary Computations 13(3), 526–553 (2009)

    Article  Google Scholar 

  5. Qin, A.K., Huang, V.L., Suganthan, P.N.: Differential evolution algorithm with strategy adaptation for global numerical optimization. IEEE Transactions on Evolutionary Computations 13(2), 398–417 (2009)

    Article  Google Scholar 

  6. Zhang, J., Sanderson, A.C.: JADE: Self-adaptive differential evolution with fast and reliable convergence performance. In: Proceedings of IEEE Congress on Evolutionary Computation, Singapore, pp. 2251–2258 (2007)

    Google Scholar 

  7. Zhang, Sanderson, A.C.: Self-adaptive multiobjective differential evolution with direction information provided by archived inferior solutions. In: Proceedings of IEEE World Congress on Evolutionary Computation, Hong Kong, pp. 2801–2810 (2008)

    Google Scholar 

  8. Liang, W., Zhang, L., Wang, M.: The Chaos Differential Evolution Optimization Algorithm and its Application to Support Vector Regression Machine. Journal of Software 6(7), 1297–1304 (2011)

    Article  Google Scholar 

  9. Zhenyu, G., Bo, C., Min, Y., Binggang, C.: Self-Adaptive Chaos Differential Evolution. In: Jiao, L., Wang, L., Gao, X.-b., Liu, J., Wu, F. (eds.) ICNC 2006. LNCS, vol. 4221, pp. 972–975. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  10. Davendra, D., Zelinka, I., Senkerik, R.: Chaos driven evolutionary algorithms for the task of PID control. Computers & Mathematics with Applications 60(4), 1088–1104 (2010) ISSN 0898-1221

    Google Scholar 

  11. Senkerik, R., Davendra, D., Zelinka, I., Pluhacek, M., Oplatkova, Z.: An Investigation on the Chaos Driven Differential Evolution: An Initial Study. In: Proceedings of 5th International Conference on Bioinspired Optimization Methods and Their Applications, BIOMA 2012, pp. 185–194 (2012) ISBN 978-961-264-043-9

    Google Scholar 

  12. Senkerik, R., Davendra, D., Zelinka, I., Pluhacek, M., Oplatkova, Z.: An Investigation on the Differential Evolution Driven by Selected Discrete Chaotic Systems. In: Proceedings of the 18th International Conference on Soft Computing, MENDEL 2012, pp. 157–162 (2012) ISBN 978-80-214-4540-6

    Google Scholar 

  13. Pluhacek, M., Senkerik, R., Davendra, D., Kominkova Oplatkova, Z., Zelinka, I.: On the behavior and performance of chaos driven PSO algorithm with inertia weight. Computers & Mathematics with Applications (article in press, 2013), ISSN 0898-1221, doi:10.1016/j.camwa.2013.01.016

    Google Scholar 

  14. Storn, R., Price, K.: Differential evolution - a simple and efficient heuristic for global optimization over continuous spaces. Journal of Global Optimization 11, 341–359 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  15. Price, K.: An Introduction to Differential Evolution. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 79–108. McGraw-Hill, London (1999) ISBN 007-709506-5

    Google Scholar 

  16. Price, K., Storn, R.: Differential evolution homepage (2001), http://www.icsi.berkeley.edu/~storn/code.html

  17. Price, K., Storn, R., Lampinen, J.: Differential Evolution - A Practical Approach to Global Optimization. Springer (2005) ISBN: 3-540-20950-6

    Google Scholar 

  18. Caponetto, R., Fortuna, L., Fazzino, S., Xibilia, M.: Chaotic sequences to improve the performance of evolutionary algorithms. IEEE Trans. Evol. Comput. 7(3), 289–304 (2003)

    Article  Google Scholar 

  19. ELabbasy, E.M., Agiza, H.N., EL-Metwally, H., Elsadany, A.A.: Bifurcation analysis, chaos and control in the Burgers mapping. International Journal of Nonlinear Science 4(3), 171–185 (2007)

    MathSciNet  Google Scholar 

  20. Sprott, J.C.: Chaos and Time-Series Analysis. Oxford University Press (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Senkerik, R., Pluhacek, M., Zelinka, I., Oplatkova, Z.K., Vala, R., Jasek, R. (2014). Performance of Chaos Driven Differential Evolution on Shifted Benchmark Functions Set. In: Herrero, Á., et al. International Joint Conference SOCO’13-CISIS’13-ICEUTE’13. Advances in Intelligent Systems and Computing, vol 239. Springer, Cham. https://doi.org/10.1007/978-3-319-01854-6_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-01854-6_5

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01853-9

  • Online ISBN: 978-3-319-01854-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics