Skip to main content

An Estimation of Distribution Particle Swarm Optimization Algorithm

  • Conference paper
Ant Colony Optimization and Swarm Intelligence (ANTS 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4150))

Abstract

In this paper we present an estimation of distribution particle swarm optimization algorithm that borrows ideas from recent developments in ant colony optimization which can be considered an estimation of distribution algorithm. In the classical particle swarm optimization algorithm, particles exploit their individual memory to explore the search space. However, the swarm as a whole has no means to exploit its collective memory (represented by the array of previous best positions or pbests) to guide its search. This causes a re-exploration of already known bad regions of the search space, wasting costly function evaluations. In our approach, we use the swarm’s collective memory to probabilistically guide the particles’ movement towards the estimated promising regions in the search space. Our experiments show that this approach is able to find similar or better solutions than the canonical particle swarm optimizer with fewer function evaluations.

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. Kennedy, J., Eberhart, R.: Particle swarm optimization. In: Proceedings of the IEEE International Conference on Neural Networks, Piscataway, NJ, pp. 1942–1948. IEEE Press, Los Alamitos (1995)

    Chapter  Google Scholar 

  2. Eberhart, R., Kennedy, J.: A new optimizer using particle swarm theory. In: Proceedings of the 6th International Symposium on Micro Machine and Human Science, Piscataway, NJ, pp. 39–43. IEEE Press, Los Alamitos (1995)

    Chapter  Google Scholar 

  3. Clerc, M., Kennedy, J.: The particle swarm–explosion, stability, and convergence in a multidimensional complex space. IEEE Transactions on Evolutionary Computation 6(1), 58–73 (2002)

    Article  Google Scholar 

  4. Eberhart, R., Shi, Y.: Comparing inertia weights and constriction factors in particle swarm optimization. In: Proceedings of the 2000 IEEE Congress on Evolutionary Computation, pp. 84–88 (2000)

    Google Scholar 

  5. Trelea, I.C.: The particle swarm optimization algorithm: Convergence analysis and parameter selection. Information Processing Letters 85(6), 317–325 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  6. Dorigo, M., Stützle, T.: Ant Colony Optimization. The MIT Press, Cambridge (2004)

    Book  MATH  Google Scholar 

  7. Pelikan, M., Goldberg, D.E., Lobo, F.: A survey of optimization by building and using probabilistic models. Computational Optimization and Applications 21(1), 5–20 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  8. Kern, S., Müller, S.D., Hansen, N., Büche, D., Ocenasek, J., Koumoutsakos, P.: Learning probability distributions in continuous evolutionary algorithms–a comparative review. Natural Computing 3(1), 77–112 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  9. Larrañaga, P., Lozano, J.: Estimation of Distribution Algorithms: A New Tool for Evolutionary Computation. Genetic Algorithms and Evolutionary Computation 2 (2001)

    Google Scholar 

  10. Kennedy, J., Eberhart, R., Shi, Y.: Swarm Intelligence. Morgan Kaufmann Publishers, San Francisco (2001)

    Google Scholar 

  11. Bonabeau, E., Dorigo, M., Theraulaz, G.: Swarm Intelligence: From Natural to Artificial Systems. In: Santa Fe Institute Studies on the Sciences of Complexity, Oxford University Press, USA (1999)

    Google Scholar 

  12. Socha, K.: ACO for Continuous and Mixed-Variable Optimization. In: Dorigo, M., Birattari, M., Blum, C., Gambardella, L.M., Mondada, F., Stützle, T. (eds.) ANTS 2004. LNCS, vol. 3172, pp. 25–36. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  13. Socha, K., Dorigo, M.: Ant colony optimization for continuous domains. Technical Report TR/IRIDIA/2005-037, IRIDIA, Université Libre de Bruxelles (2005)

    Google Scholar 

  14. Janson, S., Middendorf, M.: A hierarchical particle swarm optimizer and its adaptive variant. IEEE Transactions on Systems, Man and Cybernetics–Part B 35(6), 1272–1282 (2005)

    Article  Google Scholar 

  15. Monson, C.K., Seppi, K.D.: Exposing origin-seeking bias in PSO. In: Beyer, H.G., et al. (eds.) Proceedings of the Genetic and Evolutionary Computation Conference (GECCO), pp. 241–248. ACM Press, New York (2005)

    Chapter  Google Scholar 

  16. 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. Technical Report 2005005, Nanyang Technological University, Singapore and IIT Kanpur, India (2005)

    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

Iqbal, M., de Oca, M.A.M. (2006). An Estimation of Distribution Particle Swarm Optimization Algorithm. In: Dorigo, M., Gambardella, L.M., Birattari, M., Martinoli, A., Poli, R., Stützle, T. (eds) Ant Colony Optimization and Swarm Intelligence. ANTS 2006. Lecture Notes in Computer Science, vol 4150. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11839088_7

Download citation

  • DOI: https://doi.org/10.1007/11839088_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-38482-3

  • Online ISBN: 978-3-540-38483-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics