Skip to main content

Differential Evolution with a Relational Neighbourhood-Based Strategy for Numerical Optimization

  • Conference paper
Swarm, Evolutionary, and Memetic Computing (SEMCCO 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7677))

Included in the following conference series:

  • 2898 Accesses

Abstract

Differential Evolution is a competitive optimizer, with a simplified framework, for numerical optimization problems. Many research works have been done to enhance the performance of Differential Evolution by developing the evolutionary operators. One of the major challenges in DE is performing intelligent search based on population topology. To maintain the diversity in the population as well as to improve the convergence rate, we have introduced a mutation strategy based on relative mapping of the members in population topology. Also Gamma and Cauchy distribution have been adapted in the control parameter framework to include randomness and thorough search. The proposed DE framework is referred to as the Relational Neighbourhood Differential Evolution (ReNbd-DE) and its performance is reported on the set of CEC2005 benchmark functions.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Storn, R., Price, K.V.: Differential evolution—A simple and efficient adaptive scheme for global optimization over continuous spaces, ICSI, Berkeley, CA, Tech. Rep. TR-95-012, http://http.icsi.berkeley.edu/~storn/litera.html

  2. Islam, S.M., Das, S., Ghosh, S., Roy, S., Suganthan, P.N.: An Adaptive Differential Evolution Algorithm With Novel Mutation and Crossover Strategies for Global Numerical Optimization. SMC-B (2011)

    Google Scholar 

  3. Weber, M., Tirronen, V., Neri, F.: Scale factor inheritance mechanism in distributed differential evolution. Soft Comput., Fusion Found. Methodologies Appl. 14(11), 1187–1207 (2010)

    Google Scholar 

  4. Suganthan, P.N., Hansen, N., Liang, J.J., Deb, K., Chen, Y.P., Auger, A., Tiwari, S.: Problem definitions and evaluation criteria for the CEC 2005 special session on real-parameter optimization. Nayang Technol. University, Singapore (2005)

    Google Scholar 

  5. Das, S., Abraham, A., Chakraborty, U.K., Konar, A.: Differential evolution using a neighbourhood based mutation operator. IEEE Trans. Evol. Comput. 13, 526–553 (2009)

    Article  Google Scholar 

  6. Zhang, J., Sanderson, A.C.: JADE: Adaptive differential evolution with optional external archive. IEEE Trans. Evol. Comp. 13(5), 945–958 (2009)

    Article  Google Scholar 

  7. Brest, J., Greiner, S., Bošković, B., Mernik, M., Žumer, V.: Self-adapting control parameters in differential evolution: A comparative study on numerical benchmark problems. IEEE Trans. Evol. Comput. 10(6), 646–657 (2006)

    Article  Google Scholar 

  8. Qin, A.K., Huang, V.L., Suganthan, P.N.: Differential evolution algorithm with strategy adaptation for global numerical optimization. IEEE Trans. Evol. Comput. 13(2), 398–417 (2009)

    Article  Google Scholar 

  9. Liu, J., Lampinen, J.: Adaptive parameter control of differential evolution. In: Matoušek, R., Ošmera, P. (eds.) Proc. 8th MENDEL, pp. 19–26 (2002)

    Google Scholar 

  10. Gong, W., Cai, Z., Ling, C.X., Li, H.: Enhanced differential evolution with adaptive strategies for numerical optimization. IEEE Trans. Syst., Man, Cybern. B, Cybern. 41(2), 397–413 (2011)

    Article  Google Scholar 

  11. Weber, M., Neri, F., Tirronen, V.: Distributed differential evolution with explorative–exploitative population families. Genetic Programm. Evol. Mach. 10(4), 343–371 (2009)

    Article  Google Scholar 

  12. Mallipeddi, R., Suganthan, P.N., Pan, Q.K., Tasgetiren, M.F.: Differential evolution algorithm with ensemble of parameters and mutation strategies. Appl. Soft Comput. 11(2), 1679–1696 (2011)

    Article  Google Scholar 

  13. Das, S., Suganthan, P.N.: Differential Evolution: A Survey of the State-of-the-art. IEEE Transactions on Evolutionary Computation 15(1), 4–31 (2011), doi:10.1109/TEVC.2010.2059031

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kundu, S., Bose, D., Biswas, S. (2012). Differential Evolution with a Relational Neighbourhood-Based Strategy for Numerical Optimization. In: Panigrahi, B.K., Das, S., Suganthan, P.N., Nanda, P.K. (eds) Swarm, Evolutionary, and Memetic Computing. SEMCCO 2012. Lecture Notes in Computer Science, vol 7677. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35380-2_23

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-35380-2_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35379-6

  • Online ISBN: 978-3-642-35380-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics