On using kriging models as probabilistic models in design

SAE Technical Papers

Volumn , Issue , 2004, Pages

  Martin, Jay D ^a   Simpson, Timothy W ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INTERPOLATION;

DESIGN OPTIMIZATION; DETERMINISTIC MODELING; GAUSSIAN PROBABILITY DISTRIBUTIONS; KRIGING MODEL; META MODEL; PROBABILISTIC MODELING; PROBABILISTIC MODELS; TWO-DIMENSIONAL TESTS;

PROBABILITY DISTRIBUTIONS;

EID: 85072419399     PISSN: 01487191     EISSN: 26883627     Source Type: Journal    
DOI: 10.4271/2004-01-0430     Document Type: Conference Paper

References (25)

1. Hazelrigg, G. A., 1999, "On the Role and Use of Mathematical Models in Engineering Design," ASME Journal of Mechanical Design, Vol. 121, pp. 336-341.
2. Draper, D., 1995, "Assessment and Propagation of Model Uncertainty," Journal of the Royal Statistical Society, Series B, Vol. 57, No. 1, pp. 45-97.
3. Bayarri, M. J., Berger, J. O., Higdon, D., Kennedy, M. C., Kottas, A., Paulo, R., Sacks, J., Cafeo, J. A., Cavendish, J. C., Lin, C. H., and Tui, J., 2002, "A Framework for Validation of Computer Models," Technical Report Number 128, National Institute of Statistical Sciences, Research Triangle Park, NC.
4. Kleijnen, J. P. C., 1975, "A Comment on Blanning's Metamodel for Sensitivity Analysis: The Regression Metamodel in Simulation," Interfaces, Vol. Vol. 5, No. 1, pp. 21-23.
5. Matheron, G., 1963, "Principles of Geostatistics," Economic Geology, Vol. 58, pp. 1246-1266.
6. Journel, A. G., and Huijbregts, C. J., 1978, Mining Geostatistics, Academic Press, New York.
7. Goovaerts, P., 1997, Geostatistics for Natural Resources Evaluation, Oxford University Press, New York.
8. Ripley, B. D., 1981, Spatial Statistics, John Wiley & Sons, Inc., New York.
9. Cressie, N. A. C., 1991, Statistics for Spatial Data, John Wiley & Sons, Inc., New York.
10. Stein, M. L., 1999, Interpolation of Spatial Data: Some Theory for Kriging, Springer-Verlag, New York.
11. Barton, R. R., 1998, "Simulation Metamodels," Proceedings of the 1998 Winter Simulation Conference (Medeiros, D. J., Watson, E. F., et al., eds.).
12. Booker, A. J., Dennis, J. E., Jr., Frank, P. D., Serafini, D. B., Torczon, V., and Trosset, M., 1999, "A Rigorous Framework for Optimization of Expensive Functions by Surrogates," Structural Optimization, Vol. 17, No. 1, pp. 1-13.
13. Currin, C., Mitchell, T. J., Morris, M. D., and Ylvisaker, D., 1991, "Bayesian Prediction of Deterministic Functions, With Applications to the Design and Analysis of Computer Experiments," Journal of the American Statistical Association, Vol. 86, No. 416, pp. 953-963.
14. Sacks, J., Welch, W. J., Mitchell, T. J., and Wynn, H. P., 1989, "Design and Analysis of Computer Experiments," Statistical Science, Vol. 4, No. 4, pp. 409-435.
15. Simpson, T. W., Maurey, T. M., Korte, J. J., and Mistree, F., 2001, "Kriging Metamodels for Global Approximation in Simulation-Based Multidisciplinary Design Optimization," AIAA Journal, Vol. 39, No. 12, pp. 2233-2241. (Pubitemid 34023417)
16. McKay, M. D., Conover, W. J., and Beckman, R. J., 1979, "A Comparison of Three Methods for Selecting Values of Input in the Analysis of Output from a Computer Code," Technometrics, Vol. 21, pp. 239-245. (Pubitemid 9452235)
17. Koehler, J. R., and Owen, A. B., 1996, "Computer Experiments," Handbook of Statistics (Ghosh, S. and Rao, C. R., eds.), Elsevier Science, New York, pp. 261-308.
18. Martin, J. D., and Simpson, T. W., 2003, "A Study on the Use of Kriging Models to Approximate Deterministic Computer Models," 2003 ASME Design Engineering Technical Conference, Chicago, IL.
19. Myers, R. H., and Montgomery, D. C., 2002, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, 2nd ed., John Wiley & Sons, Inc., New York.
20. Osio, I. G., and Amon, C. H., 1996, "An Engineering Design Methodology with Multistage Bayesian Surrogate and Optimal Sampling," Research in Engineering Design, Vol. 8, No. 4, pp. 189-206. (Pubitemid 126610228)
21. Jin, R., Chen, W., and Sudjianto, A., 2002, Sept 29 -Oct 2, "On Sequential Sampling for Global Metamodeling in Engineering Design," 2002 ASME Design Engineering Technical Conference, Montreal, Canada.
22. Sasena, M. J., 2002, "Flexibility and Efficiency Enhancements for Constrained Global Design Optimization with Kriging Approximations," Ph.D. Dissertation, Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
23. Meckesheimer, M., Booker, A. J., Barton, R. R., and Simpson, T. W., 2002, "Computationally Inexpensive Metamodel Assessment Strategies," AIAA Journal, Vol. 40, No. 10, pp. 2053-2060. (Pubitemid 35295818)
24. Shapiro, S. S., and Wilk, M. B., 1965, "An Analysis of Variance Test for Normality (Complete Samples)," Biometrika, Vol. 52, No. 3/4, pp. 591-611.
25. 5000.59, D. D., 1994, "DoD Modeling and Simulation (M& S) Management