Skip to main content
Log in

A surface-simplex swarm evolution algorithm

  • Mathematics
  • Published:
Wuhan University Journal of Natural Sciences

Abstract

In the paper, a particle surface-simplex search (PSSS) is designed based on particle surface-simplex and particle surface- simplex neighborhood. Using PSSS and an evolutionary strategy of multi-states swarm, a surface-simplex swarm evolution (SSSE) algorithm for numerical optimization is proposed. In the experiments, SSSE is applied to solve 17 benchmark problems and compared with the other intelligent optimization algorithms. In the application, SSSE is used to analyze the three intrinsic independent components of gravity earth tide. The results demonstrate that SSSE can accurately find optima or close-to-optimal solutions of the complex functions with high-dimension. The performance of SSSE is stable and efficient.

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. Holland J. Adaptation in Natural and Artificial Systems: An Introductory Analysis with Application to Biology, Control and Artificial Intelligence [M]. 2nd Edition. Cambridge: MIT Press, 1992.

    Google Scholar 

  2. Goldberg D E. Genetic Algorithm in Search, Optimization and Machine Learning [M]. Reading: Addison-Wesley Publish Company, 1989.

    Google Scholar 

  3. Gong M G, Jiao L C, Zhang X R. A population-based artificial immune system for numerical optimization [J]. Neurocomputing, 2008, 72(1-3): 149–161.

    Article  Google Scholar 

  4. Kennedy J, Mendes R. Population structure and particle swarm performance [C] // Proceeding of the Congress on Evolutionary Computation. San Jose: IEEE Press, 2002: 1671–1676.

    Google Scholar 

  5. Storn R, Price K. Differential evolution—A simple and efficient heuristic for global optimization over continuous spaces [J]. Journal of Global Optimization, 1997, 11(4): 341–359.

    Article  Google Scholar 

  6. Karaboga D, Basturk B. A powerful and efficient algorithm for numerical function optimization: Artificial bee colony (ABC) algorithm [J]. Journal of Global Optimization, 2007, 39(3): 459–471.

    Article  Google Scholar 

  7. García-Martínez C, Lozano M, Herrera F, et al. Global and local real-coded genetic algorithms based on parent-centric crossover operators [J]. European Journal of Operational Research, 2008, 185(3): 1088–1113.

    Article  Google Scholar 

  8. Zhang J Q, Sanderson A C. JADE: Adaptive differential evolution with optional external archive [J]. IEEE Trans Evolutionary Computation, 2009, 13(5): 945–958.

    Article  Google Scholar 

  9. Zhan Z H, Zhang J, Li Y, et al. Orthogonal Learning Particle Swarm Optimization [J]. IEEE Trans Evolutionary Computation, 2011, 15(6): 832–847.

    Article  Google Scholar 

  10. Yao X, Liu Y, Lin G. Evolutionary programming made faster [J]. IEEE Trans Evolutionary Computation, 1999, 3(2): 82–102.

    Article  Google Scholar 

  11. Leung Y W, Wang Y. An orthogonal genetic algorithm with quantization for global numerical optimization [J]. IEEE Trans Evolutionary Computation, 2001, 5(1): 41–53.

    Article  Google Scholar 

  12. Karaboga D, Akay B. A comparative study of Artificial Bee Colony algorithm [J]. Applied Mathematics and Computation, 2009, 214(1): 108–132.

    Article  Google Scholar 

  13. Liang J, Qu B Y, Suganthan P N. Problem Definitions and Evaluation Criteria for the CEC 2014 Special Session and Competition on Single Objective Real-Parameter Numerical Optimization[R]. Technical Report 201311, Computational Intelligence Laboratory, Zhengzhou University, Zhengzhou China and Technical Report, Nanyang Technological University, Singapore, Dec. 2013.

  14. Wu Q P. Gravitology and Earth Tide [M]. Beijing: Seismological Press, 1997(Ch).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Haiyan Quan.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (41364002)

Biography: QUAN Haiyan, male, Ph.D., Associate professor, research direction: optimization algorithm, signal processing.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Quan, H., Shi, X. A surface-simplex swarm evolution algorithm. Wuhan Univ. J. Nat. Sci. 22, 38–50 (2017). https://doi.org/10.1007/s11859-017-1214-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11859-017-1214-9

Keywords

CLC number

Navigation