Skip to main content

Second Order Differential Evolution for Constrained Optimization

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11655))

Abstract

In this paper, second order differential evolution (SODE) algorithm is considered to solve the constrained optimization problems. After offspring are generated by the second order differential evolution, the ε constrained method is chosen for selection in this paper. In order to show that second order differential vector is better than differential vector in solving constrained optimization problems, differential evolution (DE) with the ε constrained method is used for performance comparison. The experiments on 12 test functions from IEEE CEC 2006 demonstrate that second order differential evolution shows better or at least competitive performance against DE when dealing with constrained optimization problems.

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   59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   79.99
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

References

  1. Storn, R., Price, K.: Differential evolution: a simple and efficient heuristic for global optimization over continuous spaces. J. Global Optim. 11(4), 341–359 (1997)

    Article  MathSciNet  Google Scholar 

  2. Harno, H.G., Petersen, I.R.: Synthesis of linear coherent quantum control systems using a differential evolution algorithm. IEEE Trans. Autom. Control 60(3), 799–805 (2015)

    Article  MathSciNet  Google Scholar 

  3. Chiu, W.-Y.: Pareto optimal controller designs in differential games. In: 2014 CACS International Automatic Control Conference (CACS), pp. 179–184. IEEE (2014)

    Google Scholar 

  4. Wei, W., Wang, J., Tao, M.: Constrained differential evolution with multiobjective sorting mutation operators for constrained optimization. Appl. Soft Comput. 33, 207–222 (2015)

    Article  Google Scholar 

  5. Zhao, X., Xu, G., Liu, D., Zuo, X.: Second order differential evolution algorithm. CAAI Trans. Intell. Technol. 2, 96–116 (2017)

    Article  Google Scholar 

  6. Takahama, T., Sakai, S.: Constrained optimization by the ε constrained differential evolution with an archive and gradient-based mutation. In: IEEE Congress on Evolutionary Computation, pp. 1–9. IEEE (2010)

    Google Scholar 

  7. Takahama, T., Sakai, S.: Efficient constrained optimization by the constrained rank based differential evolution. In: 2012 IEEE Congress on Evolutionary Computation, pp. 1–8. IEEE (2012)

    Google Scholar 

  8. Wang, B.C., Li, H.X., Li, J.P., Wang, Y.: Composite differential evolution for constrained evolutionary optimization. IEEE Trans. Syst. Man Cybernet. Syst. 99, 1–14 (2018)

    Google Scholar 

  9. Liang, J., et al.: Problem definitions and evaluation criteria for the CEC 2006 special session on constrained real-parameter optimization. J. Appl. Mech. 41(8), 8–31 (2006)

    Google Scholar 

  10. Li, Z.Y., Huang, T., Chen, S.M., Li, R.F.: Overview of constrained optimization evolutionary algorithms. J. Softw. 28(6), 1529–1546 (2017)

    MathSciNet  MATH  Google Scholar 

  11. Wang, Y., Cai, Z.X., Zhou, Y.R., Xiao, C.X.: Constrained optimization evolutionary algorithms. J. Softw. 20(1), 11–29 (2009)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgments

This research is supported by National Natural Science Foundation of China (71772060, 61873040, 61375066). We will express our awfully thanks to the Swarm Intelligence Research Team of BeiYou University.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xinchao Zhao .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Zhao, X., Liu, J., Hao, J., Chen, J., Zuo, X. (2019). Second Order Differential Evolution for Constrained Optimization. In: Tan, Y., Shi, Y., Niu, B. (eds) Advances in Swarm Intelligence. ICSI 2019. Lecture Notes in Computer Science(), vol 11655. Springer, Cham. https://doi.org/10.1007/978-3-030-26369-0_36

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-26369-0_36

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-26368-3

  • Online ISBN: 978-3-030-26369-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics