Skip to main content

Constrained Engineering Design Optimization Using a Hybrid Bi-objective Evolutionary-Classical Methodology

  • Conference paper
Simulated Evolution and Learning (SEAL 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6457))

Included in the following conference series:

Abstract

Constrained engineering design optimization problems are usually computationally expensive due to non-linearity and non convexity of the constraint functions. Penalty function methods are found to be quite popular due to their simplicity and ease of implementation, but they require an appropriate value of the penalty parameter. Bi-objective approach is one of the methods to handle constraints, in which the minimization of the constraint violation is included as an additional objective. In this paper, constrained engineering design optimization problems are solved by combining the penalty function approach with a bi-objective evolutionary approach which play complementary roles to help each other. The penalty parameter is approximated using bi-objective approach and a classical method is used for the solution of unconstrained penalized function. In this methodology, we have also eliminated the local search parameter which was needed in our previous study.

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. Zhang, M., Luo, W., Wang, X.: Differential evolution with dynamic stochastic selection for constrained optimization. J. Information Sciences 178(15), 3043–3074 (2008)

    Article  Google Scholar 

  2. Ray, T., Liew, K.M.: Society and civilization: An optimization algorithm based on the simulation of social behavior. J. IEEE Transactions on Evolutionary Computation 7(4), 386–396 (2003)

    Article  Google Scholar 

  3. Youyun, A.O., Hongqin, C.H.I.: An Adaptive Differential Evolution Algorithm to Solve Constrained Optimization Problems in Engineering Design. J. Engineering 2, 65–77 (2010)

    Google Scholar 

  4. Deb, K.: An efficient constraint handling method for genetic algorithms. J. Computer methods in applied mechanics and engineering 186(2-4), 311–338 (2000)

    Article  MATH  Google Scholar 

  5. Coello Coello, C.A.: Use of a self-adaptive penalty approach for engineering optimization problems. J. Computers in Industry 41(2), 113–127 (2000)

    Article  MATH  Google Scholar 

  6. Surry, P.D., Radcliffe, N.J., Boyd, I.D.: A multi-objective approach to constrained optimisation of gas supply networks: The COMOGA method. In: Fogarty, T.C. (ed.) AISB-WS 1995. LNCS, vol. 993, pp. 166–180. Springer, Heidelberg (1995)

    Chapter  Google Scholar 

  7. Deb, K., Lele, S., Datta, R.: A hybrid evolutionary multi-objective and SQP based procedure for constrained optimization. In: Kang, L., Liu, Y., Zeng, S. (eds.) ISICA 2007. LNCS, vol. 4683, pp. 36–45. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  8. Myung, H., Kim, J.H.: Hybrid interior-lagrangian penalty based evolutionary optimization. In: Porto, V.W., Waagen, D. (eds.) EP 1998. LNCS, vol. 1447, pp. 85–94. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  9. Deb, K., Datta, R.: A Fast and Accurate Solution of Constrained Optimization Problems Using a Hybrid Bi-Objective and Penalty Function Approach. In: Congress on Evolutionary Computation - CEC (2010)

    Google Scholar 

  10. Deb, K.: Multi-objective optimization using evolutionary algorithms. Wiley, Chichester (2001)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Datta, R. (2010). Constrained Engineering Design Optimization Using a Hybrid Bi-objective Evolutionary-Classical Methodology. In: Deb, K., et al. Simulated Evolution and Learning. SEAL 2010. Lecture Notes in Computer Science, vol 6457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17298-4_71

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-17298-4_71

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-17297-7

  • Online ISBN: 978-3-642-17298-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics