A sequential exploratory experimental design method: Development of appropriate empirical models in design

Proceedings of the ASME Design Engineering Technical Conference

Volumn 1, Issue , 2004, Pages 1021-1035

  Lin, Yao ^a   Mistree, Farrokh ^a   Allen, Janet K ^a   Tsui, Kwok Leung ^b   Chen, Victoria C P ^c  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b Georgia Institute of Technology   (United States)

^c The University of Texas at Arlington   (United States)

Author keywords

Design of experiments; Maximum entropy sampling; Metamodeling; Sampling; Sequential experimental design

Indexed keywords

CODES (SYMBOLS); COMPUTER SIMULATION; ENTROPY; METADATA; PRODUCT DEVELOPMENT; SAMPLING;

DESIGN OF EXPERIMENTS; MAXIMUM ENTROPY SAMPLING; METAMODELING; SEQUENTIAL EXPERIMENTAL DESIGN;

PRODUCT DESIGN;

EID: 14044276405     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2004-57527     Document Type: Conference Paper

References (42)

1. Barton, R. R., 1994, "Metamodeling: A State of the Art Review," Proceedings of the 1994 Winter Simulation Conference, Lake Beuna Vista, FL, IEEE.
2. Bȩrnardo, J. M. and Smith, A. F. M., 1994, Bayesian Theory, New York: Wiley.
3. Breiman, L., Friedman, J. H., Olshen, R. and Stone, C. J., 1984, Classification and Regression Trees, Wadsworth, Belmont, California.
4. Booker, A. J., Conn, A. R., Dennis, J. E., Frank, P. D., Serafini, D., Torczon, V. and Trosset, M., 1996, "Multi-Level Design Optimization: A Boeing/IBM/Rice Collaborative Project," 1996 Final Report, ISSTECH-96-031, The Boeing Company, Seattle, WA.
5. Box, G. E. P. and Draper, N. R., 1987, Empirical Model Building and Response Surfaces, John Wiley & Sons, New York.
6. Chaloner, K. and Verdinelli, I., 1995, "Bayesian Experimental Design: A Review," Statistical Science, Vol. 10, No. 3, pp. 273-304.
7. Cheng, B. and Titterington, D. M., 1994, "Neural Networks: A Review from a Statistical Perspective," Statistical Science, Vol. 9, No. 1, pp. 2-54.
8. Cressie, N. A. C., 1993, Statistics for Spatial Data, John Wiley & Sons, New York.
9. Currin, C., Mitchell, M., Morris, M., 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, Volume 86, pp.953-963.
10. Farhang-Mehr, A. and Azarm, S., 2002, "A Sequential Information-Theoretic Approach to Design of Computer Experiments," 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, Georgia, 2002.
11. Friedman, J. H., 1991, "Multivariate Adaptive Regression Splines (with discussion)," Annals of Statistics, Vol 19, pp.1-141.
12. Giunta, A. A., Balabanov, V., Haim, D., Grossman, B., Mason, W. H. and Watson, L. T., 1996, "Wing Design for a High-Speed Civil Transport Using a Design of Experiments Methodology," 6th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Bellevue, WA, pp. 168-183.
13. Giunta, A., Watson, L. T. and Koehler, J., 1998, September 2-4, "A Comparison of Approximation Modeling Techniques: Polynomial Versus Interpolating Models," 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis & Optimization, St. Louis, MI, AIAA, AIAA-98-4758.
14. Hastie, T., Tibshirani, R., and Friedman, J., 2001, The Elements of Statistical Learning: Data Mining, Inference, and Prediction, Springer Series in Statistics.
15. Jin, R., Sudjianto, A., and Chen, W., 2002, "On Sequential Sampling for Global Metamodeling in Engineering Design," ASME 2002 Design Engineering Technical Conferences and Computer and Information in Engineering Conference, Montreal, Canada, September 29-October 2, 2002. Paper No. DETC2002/DAC-34092.
16. Johnson, M. E., Moore, L. M. and Ylvisaker, D., 1990, "Minimax and Maximin Distance Designs," Journal of Statistical Planning and Inference, Vol. 26, No. 2, pp. 131-148. Kapur, J. N. and Kesavan, H. K., 1992, Entropy Optimization Principles with Applications, Academic Press, Boston.
17. Johnson, M. E., Moore, L. M. and Ylvisaker, D., 1990, "Minimax and Maximin Distance Designs," Journal of Statistical Planning and Inference, Vol. 26, No. 2, pp. 131-148. Kapur, J. N. and Kesavan, H. K., 1992, Entropy Optimization Principles with Applications, Academic Press, Boston.
18. Kleijnen, J.P.C., 1987, Statistics: Models and Tools for Simulation Practitioners, Marcel Dekker, NY.
19. 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.
20. Lin, Y., Mistree, F., Tsui, K.-L., and Allen, J.K., 2002, "Metamodel Validation with Deterministic Computer Experiments," 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, GA, AIAA, Paper No. AIAA-2002-5425.
21. Lin, Y., 2004, An Efficient Concept Exploration Method and Sequential Exploratory Experimental Design, Ph.D. Dissertation, The Georgia W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA.
22. Lindley, D. V., 1956, "On a Measure of Information Provided by an Experiment," The Annals of Mathematical Statistics, Volume 27, pp. 986-1005.
23. Mallet, C. G., 1998, A Wavelet Tour of Signal Processing, Academic Press, Boston.
24. Matheron, G., 1963, "Principles of Geostatistics," Economic Geology, 58, pp. 1246-1266.
25. Mavris, D.N., Bandte, O., Schrage, D.P., 1996, "Application of Probabilistic Methods for the Determination of an Economically Robust HSCT Configuration," 6th AIAA/USAF/NASA/ISSMO Multidisciplinary Analysis and Optimization Conference, Bellevue, WA, AIAA-96-4090.
26. Mitchell, T. J. and Morris, M. D., 1992, "Bayesian Design and Analysis of Computer Experiments: Two Examples," Statistica Sinica, Vol. 2, pp. 359-379.
27. Myers, R. H. and Montgomery, D. C., 1995, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, John Wiley & Sons, New York.
28. Osio, I. G. and Amon, C. H., 1996, "An Engineering Design Methodology with Multistage Bayesian Surrogates and Optimal Sampling," Research in Engineering Design, 8, 189-206.
29. Pilz, J., 1991, Bayesian Estimation and Experimental Design in Linear Regression Models, New York: Wiley.
30. Pukelsheim, F., 1993, Optimal Design of Experiments, New York: Wiley.
31. th Berkeley Symp. Mathematical Statistics and Probability, Volume 1, pp. 547-561. Berkeley: University of California Press.
32. Renyi, A., 1970, Probability Theory, Amsterdam, North-Holland.
33. 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.
34. Sasena, M. J., 1998, "Optimization of Computer Simulations via Smoothing Splines and Kriging Metamodels," M.S. Thesis, Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI.
35. Schonlau, M., Welch, W. J. and Jones, D. R., 1997, "Global Versus Local Search in Constrained Optimization of Computer Models," Technical Report RR-97-11, to appear in New Developments and Applications in Experimental Design (Fluornoy, N., et al., Eds.), Institute for Mathematical Statistics, Institute for Improvement in Quality and Productivity, University of Waterloo, Waterloo, Ontario, Canada.
36. Shannon, C. E., 1948, "A Mathematical Theory of Communication," Bell System Tech. J., 27:379-423, 623-659.
37. Shewry, M. C. and Wynn, H. P., 1987, "Maximum Entropy Sampling," Journal of Applied Statistics, Vol.14, No.2, pp. 165-170.
38. Simpson, T. W., 1998, A Concept Exploration Method for Product Family Design, Ph.D. Dissertation, The Georgia W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA.
39. Simpson, T.W., Mauery, T.M., Korte, J.J., and Mistree, F., 1998, "Comparison of Response Surface and Kriging Models for Multidisciplinary Design Optimization," 7th Symposium on Multidisciplinary Analysis and Optimization, St. Louis, MO, Paper No. AIAA-98-4755.
40. Simpson, T. W., Peplinski, J., Koch, P. N., and Allen, J. K., 1997, September 15-17, "On the Use of Statistics in Design and the Implications for Deterministic Computer Experiments," Design Theory and Methodology-DTM'97, Sacramento, CA, ASME, Paper No. DETC97/DTM-3881
41. Stone, M., 1959, "Application of a Measure of Information to the Design and Comparison of Regression Experiments," Ann. Math. Statist., Vol. 30, pp.55-70.
42. Unal, R., Stanley, D.O., Engelund, W. and Lepsch, R., 1994, "Design for Quality using Response Surface Methods: An Alternative to Taguchi's Parameter Design Approach," Engineering Management Journal, Vol. 6 No. 3, pp. 40-48.