Skip to main content

Global Numerical Optimization Based on Small-World Networks

  • Conference paper
Book cover Advances in Natural Computation (ICNC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4222))

Included in the following conference series:

Abstract

Inspired by the searching model proposed by Kleinberg in a small-world network and based on a novel proposed description that an optimization can be described as a process where information transmitted from a candidate solution to the optimal solution in solution space of problems, where the solution space can also be regarded as a small-world network and each solution as a node in the small-world network, a new optimization strategy with small-world effects was formulated in this paper. The analysis and the simulation experiments in the global numerical optimization problems indicated that the method achieved a fast convergence rate and obtained a good searching performance in optimization.

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. Milgram, S.: The Small-World Problem. Psychology Today 1, 60–67 (1967)

    Google Scholar 

  2. Watts, D.J., Strogatz, S.H.: Collective dynamics of small-world networks. Nature 393, 440–442 (1998)

    Article  Google Scholar 

  3. Sen, P., Dasgupta, P., Chatterjee, A., et al.: Small-world properties of the Indian railway network. Phys. Rev. E. 67, 036106 (2003)

    Article  Google Scholar 

  4. Moore, C., Newman, M.E.J.: Epidemics and percolation in small-world networks. Phys. Rev. E. 61, 5678–5682 (2000)

    Article  Google Scholar 

  5. Newman, M.E.J., Watts, D.J.: Scaling and percolation in the small-world network model. Phys. Rev. E. 60, 7332–7342 (1999)

    Article  Google Scholar 

  6. Newman, M.E.J., Watts, D.J.: Renormalization group analysis of the small-world network model. Phys. Lett. A. 263, 341–346 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  7. Kleinberg, J.: The Small-World Phenomenon and Decentralized Search. SIAM New 37(3), 1 (2004)

    Google Scholar 

  8. Liu, J., Zhong, W., Jiao, L.: A Multiagent Evolutionary Algorithm for Constraint Satisfaction Problems. IEEE Transactions on Systems, Man, and Cybernetics—PART B: Cybernetics 36(1) (February 2006)

    Google Scholar 

  9. Jiao, L., Liu, J., Zhong, W.: An Organizational Coevolutionary Algorithm for Classification. IEEE Transactions on Evolutionary Computation 10(1) (February 2006)

    Google Scholar 

  10. Jiao, L., Wang, L.: A Novel Genetic Algorithm Based on Immunity. IEEE Transactions on Systems, Man, and Cybernetics—PART A: Systems and Humans 30(5) (September 2000)

    Google Scholar 

  11. Watts, D.J.: Small worlds. Princeton University Press, Princeton (1999)

    Google Scholar 

  12. Kleinberg, J.: Navigation in a small world. Nature 406, 845 (2000)

    Article  Google Scholar 

  13. Mühlenbein, H., Schlierkamp, V.D.: Predictive models for the breeder genetic algorithm. Evol. Computat. 1(1), 25–49 (1993)

    Article  Google Scholar 

  14. Du, H.F., et al.: Adaptive Polyclonal Programming Algorithm with application. In: ICCIMA, pp. 350–355 (2003)

    Google Scholar 

  15. Leung, Y.W., Wang, Y.P.: An orthogonal genetic algorithm with quantization for global numerical optimization. IEEE Trans. Evol. Comput. 5(2), 41–53 (2001)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, X., Yang, X., Su, T. (2006). Global Numerical Optimization Based on Small-World Networks. In: Jiao, L., Wang, L., Gao, X., Liu, J., Wu, F. (eds) Advances in Natural Computation. ICNC 2006. Lecture Notes in Computer Science, vol 4222. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881223_25

Download citation

  • DOI: https://doi.org/10.1007/11881223_25

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45907-1

  • Online ISBN: 978-3-540-45909-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics