Skip to main content

A Cultural Algorithm with Differential Evolution to Solve Constrained Optimization Problems

  • Conference paper
Advances in Artificial Intelligence – IBERAMIA 2004 (IBERAMIA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3315))

Included in the following conference series:

Abstract

A cultural algorithm is proposed in this paper. The main novel feature of this approach is the use of differential evolution as a population space. Differential evolution has been found to be very effective when dealing with real valued optimization problems. The knowledge sources contained in the belief space of the cultural algorithm are specifically designed according to the differential evolution population. Furthermore, we introduce an influence function that selects the source of knowledge to apply the evolutionary operators. Such influence function considerably improves the performance when compared to a previous version of the algorithm (developed by the same authors). We use a well-known set of test functions to validate the approach, and compare the results with respect to the best constraint-handling technique known to date in evolutionary 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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Bentley, J.L., Friedman, J.H.: Data Structures for Range Searching. ACM Computing Surveys 11, 397–409 (1979)

    Article  Google Scholar 

  2. Chung, C.J., Reynolds, R.G.: A Testbed for Solving Optimization Problems using Cultural Algorithms. In: Fogel, L.J., Angeline, P.J., Bäck, T. (eds.) Evolutionary Programming V: Proceedings of the Fifth Annual Conference on Evolutionary Programming. MIT Press, Cambridge (1996)

    Google Scholar 

  3. Chung, C.J., Reynolds, R.G.: CAEP: An Evolution-based Tool for Real-Valued Function Optimization using Cultural Algorithms. Journal on Artificial Intelligence Tools 7, 239–292 (1998)

    Article  Google Scholar 

  4. Coello Coello, C.A., Landa Becerra, R.: Adding knowledge and efficient data structures to evolutionary programming: A cultural algorithm for constrained optimization. In: Cantú- Paz, E., et al. (eds.) Proceedings of the Genetic and Evolutionary Computation Conference (GECCO’2002), San Francisco, California, pp. 201–209. Morgan Kaufmann Publishers, San Francisco (2002)

    Google Scholar 

  5. Goldberg, D.E.: GeneticAlgorithms in Search, Optimization and Machine Learning. Addison- Wesley Publishing Company, Reading (1989)

    Google Scholar 

  6. Iacoban, R., Reynolds, R.G., Brewster, J.: Cultural Swarms: Modeling the Impact of Culture on Social Interaction and Problem Solving. In: 2003 IEEE Swarm Intelligence Symposium Proceedings, Indianapolis, Indiana, USA, pp. 205–211. IEEE Service Center, Los Alamitos (2003)

    Google Scholar 

  7. Jin, X., Reynolds, R.G.: Using Knowledge-Based Evolutionary Computation to Solve Nonlinear Constraint Optimization Problems: a Cultural Algorithm Approach. In: 1999 Congress on Evolutionary Computation, Washington, D.C, pp. 1672–1678. IEEE Service Center, Los Alamitos (1999)

    Google Scholar 

  8. Kennedy, J., Eberhart, R.C.: Swarm Intelligence. Morgan Kaufmann Publishers, San Francisco (2001)

    Google Scholar 

  9. Landa Becerra, R., Coello Coello, C.A.: Culturizing differential evolution for constrained optimization. In: ENC 2004, IEEE Service Center, Los Alamitos (2004) (Accepted for publication)

    Google Scholar 

  10. Price, K.V.: An introduction to differential evolution. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 79–108. McGraw-Hill, London (1999)

    Google Scholar 

  11. Reynolds, R.G.: An Introduction to Cultural Algorithms. In: Sebald, A.V., Fogel, L.J. (eds.) Proceedings of the ThirdAnnual Conference on Evolutionary Programming, pp. 131–139. World Scientific, River Edge (1994)

    Google Scholar 

  12. Reynolds, R.G.: Cultural algorithms: Theory and applications. In: Corne, D., Dorigo, M., Glover, F. (eds.) New Ideas in Optimization, pp. 367–377. McGraw-Hill, London (1999)

    Google Scholar 

  13. Reynolds, R.G., Michalewicz, Z., Cavaretta, M.: Using cultural algorithms for constraint handling in GENOCOP. In: McDonnell, J.R., Reynolds, R.G., Fogel, D.B. (eds.) Proceedings of the Fourth Annual Conference on Evolutionary Programming, pp. 298–305. MIT Press, Cambridge (1995)

    Google Scholar 

  14. Runarsson, T.P., Yao, X.: Stochastic Ranking for Constrained Evolutionary Optimization. IEEE Transactions on Evolutionary Computation 4, 284–294 (2000)

    Article  Google Scholar 

  15. Saleem, S.M.: Knowledge-Based Solution to Dynamic Optimization Problems using Cultural Algorithms. PhD thesis,Wayne State University, Detroit, Michigan (2001)

    Google Scholar 

  16. Storn, R.: System Design by Constraint Adaptation and Differential Evolution. IEEE Transactions on Evolutionary Computation 3, 22–34 (1999)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Becerra, R.L., Coello, C.A.C. (2004). A Cultural Algorithm with Differential Evolution to Solve Constrained Optimization Problems. In: Lemaître, C., Reyes, C.A., González, J.A. (eds) Advances in Artificial Intelligence – IBERAMIA 2004. IBERAMIA 2004. Lecture Notes in Computer Science(), vol 3315. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30498-2_88

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-30498-2_88

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23806-5

  • Online ISBN: 978-3-540-30498-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics