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Multi-Objective Optimization Using Kriging Model and Data Mining

  • Published : 2006.06.30

Abstract

In this study, a surrogate model is applied to multi-objective aerodynamic optimization design. For the balanced exploration and exploitation, each objective function is converted into the Expected Improvement (EI) and this value is used as fitness value in the multi-objective optimization instead of the objective function itself. Among the non-dominated solutions about EIs, additional sample points for the update of the Kriging model are selected. The present method was applied to a transonic airfoil design. Design results showed the validity of the present method. In order to obtain the information about design space, two data mining techniques are applied to design results: Analysis of Variance (ANOVA) and the Self-Organizing Map (SOM).

Keywords

References

  1. Myers, R. H. and Montgomery, D. C, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, John Wiley & Sons, New York, 1995
  2. Vicini, A. and Quagliarella, Multipoint transonic airfoil design by means of a multiobjectiv e genetic algorithms, AIAA Paper 1997-82
  3. Sasaki, D., Obayashi, Sand Nakahashi, K., Navier-Stokes Optimization of Supersonic Wings with Four Objectives Using Evolutionary Algorithm, Journal of Aircraft, Vol. 39, 2003, pp621-629 https://doi.org/10.2514/2.2974
  4. Jone, D. R., Schonlau, M. and Welch, W. J, Efficient Global Optimization of Expensive Black-Box Function, Journal of global optimization, Vol. 13, 1998, pp. 455-492 https://doi.org/10.1023/A:1008306431147
  5. Jeong, S.. Murayarna, M. and Yamamoto, K., Efficient Optimization Design Method Using Kriging Model, Journal of Aircraft, Vol. 42, 2005, pp. 412-420
  6. Knowles, J. and Hughes, E. J., Multiobjective Optimization on a Budget of 250 Evaluation, Proceeding of third international conference of EMO 2005, 2005, pp. 176-190
  7. Sack, J. Welch, W. J., Mitchell, T. J. and Wynn, H. P., Design and analysis of computer experiments (with discussion), Statistical Science 4, 1989, pp. 409-435 https://doi.org/10.1214/ss/1177012413
  8. Matthias, S., Computer Experiments and Global Optimization, Ph.D Dissertation, Statistic and Actuarial Science Dept., University of Waterloo, Waterloo, Ontario, 1997
  9. Krzysztof, J. C. Witold, P. and Roman, W. S., Data Mining Methods for Knowledge Disco very. Kluwer Academic Publisher, 1998
  10. Eudaptics software gmbh, http://www.eudaptics.com/somine/index.php?sprache=en. last access on April 14, 2005
  11. Lepine, J., Guibault, F., Trepanier, J-Y., and Pepin, Optimized Nonuniform Rational B-spl ine Geometrical Representation for Aerodynamic Design of Wings, AIAA Journal, Vol. 39, 2001 https://doi.org/10.2514/2.1268
  12. Mckay, M. D., Beckman, R. J. and Conover, W. J., A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code, Technometric, Vol. 21. No. 2, 1979. pp. 239-245 https://doi.org/10.2307/1268575

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