Skip to main content

A Real-World Application of a Many-Objective Optimisation Complexity Reduction Process

  • Conference paper
Evolutionary Multi-Criterion Optimization (EMO 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7811))

Included in the following conference series:

Abstract

In this paper a real-world automotive engine calibration problem has been distilled into a ten-objective many-objective optimisation problem. The objectives include dynamic measures of combustion quality as well as sensitivity quantities related to a control system actuator, which exhibits significant variation. To address the computational demands of such a high-dimensional problem, use was made of parallel computing. The objective reduction process consisted of four stages and progressively reduced objective dimensionality where evidence of local objective harmony existed. It involved the advice of the calibration engineer at various stages on objective priorities and on whether to discard clusters containing solutions of no apparent interest. This process culminated in two sub-problems, one of three and one of four conflicting objectives. From the corresponding Pareto-optimal populations (POPs), visualisation together with objective priorities was used to identify preferred solutions. A comparison of the resulting POP, preferred solution and an independently generated, manually tuned calibration was made for each of the two sub-problems. In general, the preferred solution outperformed the independent calibration.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Wiemer, S., Kubach, H., Spicher, U.: Investigations on the start-up process of a disi engine. Powertrain and Fluid Systems Conference and Exhibition (2007); SAE Technical Paper Series, SAE International, Rosemont, Illinois. SAE paper no.:2007-01-4012.

    Google Scholar 

  2. Bielaczyc, P., Merkisz, J.: Exhaust emission from passenger cars during engine cold start and warm-up. In: SAE International Congress & Exposition. SAE International, Detroit (1997)

    Google Scholar 

  3. Lygoe, R.J., Cary, M., Fleming, P.J.: A Many-Objective Optimisation Decision-Making Process Applied to Automotive Diesel Engine Calibration. In: Deb, K., Bhattacharya, A., Chakraborti, N., Chakroborty, P., Das, S., Dutta, J., Gupta, S.K., Jain, A., Aggarwal, V., Branke, J., Louis, S.J., Tan, K.C. (eds.) SEAL 2010. LNCS, vol. 6457, pp. 638–646. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  4. Purshouse, R.C.: On the Evolutionary Optimisation of Many Objectives. PhD thesis. University of Sheffield, Sheffield, UK (2003)

    Google Scholar 

  5. Cheung, Y.M.: k*-Means: A New Generalized k-Means Clustering Algorithm. Pattern Recognition Letters 24(15), 2883–2893 (2003)

    Article  MATH  Google Scholar 

  6. Lygoe, R.J.: Complexity reduction in high-dimensional multi-objective optimisation. Ph.D. thesis. University of Sheffield, Sheffield, U.K (2010), http://delta.cs.cinvestav.mx/~ccoello/EMOO/thesis-lygoe.pdf.gz

  7. Fodor, I.K.: A survey of dimension reduction techniques, Technical report, Center for Applied Scientific Computing, Lawrence Livermore National Laboratory (2002)

    Google Scholar 

  8. Kendall, M.: Multivariate Analysis. Charles Griffin & Co. (1975)

    Google Scholar 

  9. Saxena, D.K., Deb, K.: Non-linear Dimensionality Reduction Procedures for Certain Large-Dimensional Multi-objective Optimization Problems: Employing Correntropy and a Novel Maximum Variance Unfolding. In: Obayashi, S., Deb, K., Poloni, C., Hiroyasu, T., Murata, T. (eds.) EMO 2007. LNCS, vol. 4403, pp. 772–787. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  10. Hyvärinen, A.: Survey on Independant Component Analysis. Neural Computing Surveys 2, 94–128 (1999)

    Google Scholar 

  11. Morrison, A., Ross, G., Chalmers, M.: Fast Multidimensional Scaling through Sampling, Springs and Interpolation. Information Visualization 2(1), 68–77 (2003)

    Article  Google Scholar 

  12. Kohonen, T.: Self-Organizing Maps. Springer, Berlin (1995)

    Book  Google Scholar 

  13. Kambhatla, N., Leen, T.K.: Dimension reduction by local principal component analysis. Neural Computation 9(7), 1493–1516 (1997)

    Article  Google Scholar 

  14. Davis, T.P., Grove, D.M.: Engineering Quality and Experimental Design. Longman Scientific and Technical (1992)

    Google Scholar 

  15. Delinchant, B., Wurtz, F., Atienza, E.: Reducing sensitivity analysis time-cost of compound model. IEEE Transactions on Magnetics 40(2) (2004)

    Google Scholar 

  16. Jolliffe, I.T.: Principal Component Analysis, 2nd edn. Springer, New York (2002)

    MATH  Google Scholar 

  17. Deb, K., Zope, P., Jain, A.: Distributed Computing of Pareto-Optimal Solutions with Evolutionary Algorithms. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Deb, K., Thiele, L. (eds.) EMO 2003. LNCS, vol. 2632, pp. 534–549. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  18. Coello, C.A.C., Lamont, G.B., Veldhuizen, D.A.V.: Evolutionary Algorithms for Solving Multi-Objective Problems, 2nd edn. Springer (2007)

    Google Scholar 

  19. Heywood, J.B.: Internal Combustion Engine Fundamentals. McGraw-Hill Series in Mechanical Engineering. McGraw-Hill, Singapore (1988)

    Google Scholar 

  20. MathWorks: Model-Based Calibration ToolboxTM: Model Browser User’s Guide. The MathWorks, Inc. (2008a)

    Google Scholar 

  21. Deb, K., Agrawal, R.B.: Simulated Binary Crossover for Continuous Search Space. Complex Systems 9(2), 115–148 (1995)

    MathSciNet  MATH  Google Scholar 

  22. Deb, K., Goyal, M.: A Combined Genetic Adaptive Search (GeneAS) for Engineering Design. Computer Science and Informatics 26(4), 30–45 (1996)

    Google Scholar 

  23. Khare, V., Yao, X., Deb, K.: Performance Scaling of Multi-objective Evolutionary Algorithms. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Deb, K., Thiele, L. (eds.) EMO 2003. LNCS, vol. 2632, pp. 376–390. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  24. Fonseca, C.M., Fleming, P.J.: Multiobjective Optimization and Multiple Constraint Handling with Evolutionary Algorithms — Part I: A Unified Formulation. IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans 28(1), 26–37 (1998a)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lygoe, R.J., Cary, M., Fleming, P.J. (2013). A Real-World Application of a Many-Objective Optimisation Complexity Reduction Process. In: Purshouse, R.C., Fleming, P.J., Fonseca, C.M., Greco, S., Shaw, J. (eds) Evolutionary Multi-Criterion Optimization. EMO 2013. Lecture Notes in Computer Science, vol 7811. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37140-0_48

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-37140-0_48

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37139-4

  • Online ISBN: 978-3-642-37140-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics