Craig, K. J., Stander, N., Dooge, D. A., and Varadappa, S., 2005, “Automotive Crashworthiness Design Using Response Surface-Based Variable Screening and Optimization,” Eng. Comput., 22 (1), pp. 38–61.
Wang, X., Liu, Y., and Antonsson, E., 1999, “Fitting Functions to Data in High Dimensional Design Space,” in Proceedings of DETC 99, 1999 ASME Design Engineering Technical Conferences , DETC99∕DAC-8622.
Sobieski, J., Kodiyalam, S., and Yang, R. J., 2001, “Optimization of Car Body under Constraints of Noise, Vibration, and Harshness (NVH), and Crash,” Struct. Multidiscip. Optim., 22 , pp. 295–306.
Jin, R., Chen, W., and Simpson, T. W., 2000, “Comparative Studies of Metamodeling Techniques under Multiple Modeling Criteria,” AIAA-2000-4801.
Yang, R. J., Gu, L., Liaw, L., Gearhart, C., Tho, C. H., Liu, X., and Wang, B. P., 2000, “Approximations for Safety Optimization of Large Systems,” ASME Design Automation Conference , Paper No. DETC2000∕DAC-14245.
Lu, Stephen C-Y., and Cheng, D. K., 1991, “Building Layered Models to Support Engineering Decision Making: A Machine Learning Approach,” J. Eng. Ind., ASME Transactions, 13 (1), pp. 1–9.
Ge, P., and Wang, N., 2000, “DoE Study in Building Surrogate Models for Complex Systems,” in Proceedings of DETC’2000 , Baltimore.
Simpson, T. W., Booker, A. J., Ghosh, D., Giunta, A. A., Koch, P. N., and Yang, R. J., 2004, “Approximation Methods in Multidisciplinary Analysis and Optimization: A Panel Discussion,” Struct. Multidiscip. Optim., 27 , pp. 302–313.
Simpson, T. W., Clarke, S. M., and Griebsch, J. H., 2005, “Analysis of Support Vector Regression for Approximation of Complex Engineering Analyses,” ASME J. Mech. Des., MD-03-1319.
Efroymson, M., 1960, “Multiple Regression Analysis,” "Mathematical Methods for Digital Computers", edited by A.Ralston and H.Wilf, Wiley, New York, pp. 191–203.
Lancaster, P., and Salkauskas, K., 1981, “Surfaces Generated by Moving Least Squares Methods,” Math. Comput., 37 , pp. 141–158.
Hawkins, D. M., and Cressie, N., 1984, “Robust Kriging—a Proposal,” Journal of the International Association for Mathematical Geology, 16 , pp. 3–18.
Oliver, M. A., and Webster, R., 1990, “Kriging: A Method of Interpolation for Geographical Information Systems,” Int. J. Geograph. Inf. Sci., 4 , pp. 313–332.
Cressie, N. C. A., 1993, "Statistics for Spatial Data", Wiley, New York.
Ripley, B. D., 1987, "Stochastic Simulation", Wiley, New York.
Kodiyalam, S., Yang, R. J., Gu, L., and Tho, C-H., 2004, “Multidisciplinary Design Optimization of a Vehicle System in a Scalable, High Performance Computing Environment,” Struct. Multidiscip. Optim., 26 , pp. 235–248.
Hardy, R. L., 1971, “Multiquadric Equations Of Topography and Other Irregular Surfaces,” J. Geophys. Res., 76 , pp. 1905–1915.
Hardy, R. L., 1990, “Theory and Application of the Multiquadric-Biharmonic Method,” Comput. Methods Appl. Mech. Eng., 19 , pp. 163–208.
Wang, B. P., 2004, “Parameter Optimization in Multiquadric Response Surface Approximation,” Struct. Multidiscip. Optim., 26 , pp. 219–223.
RADIOSS User’s Manual, Version 4.1, MECALOG, France, 1998.
MADYMO User’s Manual, Version 5.3, TNO, Netherlands, 1998.