Skip to main content
Log in

A parallel global-local mixed evolutionary algorithm for multimodal function optimization based on domain decomposition

  • Published:
Wuhan University Journal of Natural Sciences

Abstract

This paper presents a parallel two-level evolutionary algorithm based on domain decomposition for solving function optimization problem containing multiple solutions. By combining the characteristics of the global search and local search in each sub-domain, the former enables individual to draw closer to each optima and keeps the diversity of individuals, while the latter selects local optimal solutions known as latent solutions in sub-domain. In the end, by selecting the global optimal solutions from latent solutions in each sub-domain, we can discover all the optimal solutions easily and quickly.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Back T, Fogel D, Michalewicz Z.Handbook of Evolutionary Computation. Brsitol: Institute of Phusics Publishing and New York: Oxford University Press, 1997.

    Google Scholar 

  2. Michalewicz Z.Genetic Algorithm+Data Structures=Evolutionary Programs. Berlin, Herdelberg, New York: Springer-Verlag, 1996.

    Google Scholar 

  3. Fonesca C M, Fleming P J. Multiobjective Optimization and Multiple Constraint Handing with Evolutionary Algorithms-Part I: A Unfied Formulation.IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans, 1998,28(1): 26–37.

    Article  Google Scholar 

  4. Fonesca C M, Fleming P J. Multiobjective Optimization and Multiple Constraint Handing with Evolutionary Algorithms-part II: Application Example.IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans, 1998,28(1): 38- 47.

    Article  Google Scholar 

  5. Toyoo Fukuda, Kazuyuki Mori, Makoto Tsukiyama. Parallel Search for Multi-modal Function Optimization with Diversity and Learning of Immune Algorithms. Dipankar Dasgupta Ed.,Artificial Immune Systems and Their Applications. Berlin, Herdelberg, New York: Springer-verlag, 1999. 210–220.

    Google Scholar 

  6. Zitzler E, Deb E, Thiele L. Comparison of Multi-objective Evolutionary Algorithms: Empirical Results.Evolutionary Computation, 2000,8(2): 125–148.

    Article  Google Scholar 

  7. Deb K.Multi-objective Optimization Using Eevolutionary Algorithms. : John Wiley Sons. Ltd, 2001. 143–159.

  8. Blalxs M E, Li Jian-ping. The Effect of Distance Measure in A GA with Species Conservation.Proceedings of 2001IEEE Congress on Evolutionary Computation, 2001. 67–74.

  9. Kang Li-shan, Sun Le-lin, Chen Yu-ping.Asynchronous Parallel Algorithms for Solving Mathematical and Physical Problems. Beijing: Science Press, 1985(Ch).

    Google Scholar 

  10. Wu Zhi-jian, Kang Li-shan, Zou Xiu-fen. A Parallel Global-Local Evolutionary Algorithm for Multimodal Function Optimization.Proceedings of the fifth International Conference on Algorithms and Structures of Parallel Process, Beijing, 2002. 247–250.

  11. Guo Tao, Kang Li-shan, Li Yan. A New Algorithm for Solving Function Optimization Problems with Inequality Constraints.Journal of Wuhan University (Natural Science Edition), 1999,45(5B): 771–775(Ch).

    Google Scholar 

  12. Kang Li-shan, Kang Zhuo, Li Yan,et al. Asynchronous Parallelization of Guo’s Algorithm for Function Optimization.Proceedings of the 2000 IEEE Congress on Evolutionary Computation, 2000. 783–789.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wu Zhi-jian.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (60133010,60073043,70071042)

Biography: Wu Zhi-jian(1963-), male, Associate professor, research direction: parallel computing, evolutionary computation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhi-jian, W., Zhi-long, T. & Li-shan, K. A parallel global-local mixed evolutionary algorithm for multimodal function optimization based on domain decomposition. Wuhan Univ. J. of Nat. Sci. 8, 253–258 (2003). https://doi.org/10.1007/BF02899489

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02899489

Key words

CLC number

Navigation