Skip to main content

Particle Swarm Optimization with Dynamic Step Length

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4682))

Abstract

Particle swarm optimization (PSO) is a robust swarm intelligent technique inspired from birds flocking and fish schooling. Though many effective improvements have been proposed, however, the premature convergence is still its main problem. Because each particle’s movement is a continuous process and can be modelled with differential equation groups, a new variant, particle swarm optimization with dynamic step length (PSO-DSL), with additional control coefficient- step length, is introduced. Then the absolute stability theory is introduced to analyze the stability character of the standard PSO, the theoretical result indicates the PSO with constant step length can not always be stable, this may be one of the reason for premature convergence. Simulation results show the PSO-DSL is effective.

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   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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bäck, T.: Evolutionary Algorithms in Theory and Practice. Oxford University Press, New York (1996)

    MATH  Google Scholar 

  2. Anderson, J.: A Simple Neural Network Generating an Interactive Memory. Mathematical Biosciences 14, 197–220 (1972)

    Article  MATH  Google Scholar 

  3. Bonabeau, E., Dorigo, M., Theraulaz, G.: Swarm Intelligence: From Natural to Artificial Systems, Santa Fe Institute Publications (1999)

    Google Scholar 

  4. Abraham, A., Grosan, C., Ramos, V.: Swarm Intelligence and Data Mining, Studies in Computational Intelligence. Springer, Heidelberg (2006)

    Book  Google Scholar 

  5. Andries, G., Engelbrecht, P.: Fundamentals of Computational Swarm Intelligence. Wiley Publishing, Chichester (2006)

    Google Scholar 

  6. Kennedy, J., Eberhart, R.C.: Particle Swarm Optimization. In: Proceedings of IEEE International Conference on Neural Networks, pp. 1942–1948 (1995)

    Google Scholar 

  7. Eberhart, R.C., Kennedy, J.: A New Optimizer Using Particle Swarm Theory. In: Proceedings of 6th International Symposium on Micro Machine and Human Science, pp. 39–43 (1995)

    Google Scholar 

  8. Cui, Z.H., Zeng, J.C., Sun, G.J.: A Fast Particle Swarm Optimization. International Journal of Innovative Computing, Information and Control 2, 1365–1380 (2006)

    Google Scholar 

  9. Monson, C.K., Seppi, K.D.: The Kalman Swarm: A New Approach to Particle Motion in Swarm Optimization. In: Proceedings of the Genetic and Evolutionary Computation Conference, pp. 140–150 (2004)

    Google Scholar 

  10. Iwasaki, N., Yasuda, K.: Adaptive Particle Swarm Optimization Using Velocity Feedback. International Journal of Innovative Computing, Information and Control 1, 369–380 (2005)

    Google Scholar 

  11. Liang, J.J., Qin, A.K., Suganthan, P.N., Baskar, S.: Comprehensive Learning Particle Swarm Optimizer for Global Optimization of Multimodal Functions. IEEE Transactions on Evolutionary Computation 10, 281–295 (2006)

    Article  Google Scholar 

  12. Cui, Z.H., Zeng, J.C.: A Guaranteed Global Convergence Particle Swarm Optimizer, Lecture Notes in Artificial Intelligence, vol. In: Tsumoto, S., Słowiński, R., Komorowski, J., Grzymała-Busse, J.W. (eds.) RSCTC 2004. LNCS (LNAI), vol. 3066, pp. 762–767. Springer, Heidelberg (2004)

    Google Scholar 

  13. Ratnaweera, A., Halgamuge, S.K., Watson, H.C.: Self-Organizing Hierarchical Particle Swarm Opitmizer with Time-Varying Acceleration Coefficients. IEEE Transactions on Evolutionary Computation 8, 240–255 (2004)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

De-Shuang Huang Laurent Heutte Marco Loog

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cui, Z., Cai, X., Zeng, J., Sun, G. (2007). Particle Swarm Optimization with Dynamic Step Length. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence. ICIC 2007. Lecture Notes in Computer Science(), vol 4682. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74205-0_81

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74205-0_81

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74201-2

  • Online ISBN: 978-3-540-74205-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics