Skip to main content

Multiobjective Optimization of Mixed Variable Design Problems

  • Conference paper
  • First Online:
Evolutionary Multi-Criterion Optimization (EMO 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1993))

Included in the following conference series:

Abstract

In this paper, a new multiobjective genetic algorithm is employed to support the design of a hydraulic actuation system. First, the proposed method is tested using benchmarks problems gathered from the literature. The method performs well and it is capable of identifying multiple Pareto frontiers in multimodal function spaces. Secondly, the method is applied to a mixed variable design problem where a hydraulic actuation system is analyzed using simulation models. The design problem constitutes of a mixture of determining continuous variables as well as selecting components from catalogs. The multi-objective optimization results in a discrete Pareto front, which illustrate the trade-off between system cost and system performance.

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. Andersson J. and Wallace D., 2000, “Pareto optimization using the struggle genetic crowding algorithm,” Submitted for review to ASME Journal of Mechanical Design.

    Google Scholar 

  2. Andersson J., Krus P. and Wallace D., 2000 “Multi-objective optimization of hydraulic actuation systems”, Proceedings of the ASME Design Automation Conferences, DETC2000/DAC-14512, Baltimore, MD, USA.

    Google Scholar 

  3. Coello C., 1996, An empirical study of evolutionary techniques for multiobjective optimization in engineering design, Diss., Department of Computer Science, Tulane University.

    Google Scholar 

  4. Deb K., 1999, “Multi-objective Genetic Algorithms: Problem Difficulties and Construction of Test Problems,” Evolutionary Computation, vol. 7, pp. 205–230.

    Google Scholar 

  5. Fonseca C. M. and Fleming P. J., 1998, “Multiobjective optimization and multiple constraint handling with evolutionary algorithms-Part I: a unified formulation,” IEEE Transactions on Systems, Man, & Cybernetics Part A: Systems & Humans, vol. 28, pp. 26–37.

    Google Scholar 

  6. Goldberg D., 1989, “Genetic Algorithms in Search and Machine Learning”. Reading, Addison Wesley.

    Google Scholar 

  7. Grueninger T. and Wallace D., 1996, “Multi-modal optimization using genetic algorithms”, MIT CADlab-Technical Report 96.02, http://cadlab.mit.edu/publications/.

  8. Harik G., Finding multiple solutions in problems of bounded difficulty, IlliGAL Technical report No. 94002, http://www-illigal.ge.uiuc.edu/techreps.php3.

  9. Hopsan, 1991, “Hopsan, a simulation package-User’s guide”, Technical report LiTH-IKPR-704, Department of Mechanical Engineering, Linköping University, Linköping, Sweden.

    Google Scholar 

  10. Horn J., 1997, “Multicriterion decision making,” in Handbook of evolutionary computation, T. Bäck, D. Fogel, and Z. Michalewicz, Eds., IOP Publishing Ltd.

    Google Scholar 

  11. 11. Senin N., Wallace D., Borland N. and Jakiela M., 1999, “Distributed modeling and optimization of mixed variable design problems”, MIT CADlab-Technical Report: 99.01, http://cadlab.mit.edu/publications/.

  12. Zitzler E. and Thiele L., 1999, “Multiobjective Evolutionary Algorithms: A Comparative Case Study and the Strength Pareto Approach,” IEEE Transaction on evolutionary computation, vol. 3, pp. 257–271.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Andersson, J., Krus, P. (2001). Multiobjective Optimization of Mixed Variable Design Problems. In: Zitzler, E., Thiele, L., Deb, K., Coello Coello, C.A., Corne, D. (eds) Evolutionary Multi-Criterion Optimization. EMO 2001. Lecture Notes in Computer Science, vol 1993. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44719-9_44

Download citation

  • DOI: https://doi.org/10.1007/3-540-44719-9_44

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41745-3

  • Online ISBN: 978-3-540-44719-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics