Objective-oriented sequential sampling for simulation based robust design considering multiple sources of uncertainty

Journal of Mechanical Design, Transactions of the ASME

Volumn 135, Issue 5, 2013, Pages

  Arendt, Paul D ^a   Apley, Daniel W ^a   Chen, Wei ^a  

^a Northwestern University   (United States)

Author keywords

interpolation uncertainty; metamodel; Robust design; sequential sampling

Indexed keywords

COMPUTER AIDED DESIGN; OPTIMIZATION;

INTERPOLATION UNCERTAINTY; META MODEL; MULTIPLE SOURCE; NOISE VARIABLES; OBJECTIVE ORIENTED; ROBUST DESIGNS; SAMPLING STRATEGIES; SEQUENTIAL SAMPLING; SOURCES OF UNCERTAINTY; UNCERTAINTY;

INTERPOLATION;

EID: 84877613874     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.4023922     Document Type: Article

References (37)

1. Chen, W., Allen, J. K., Tsui, K.-L., and Mistree, F., 1996, "A Procedure for Robust Design: Minimizing Variations Caused by Noise Factors and Control Factors," ASME J. Mech. Des., 118(4), pp. 478-485. (Pubitemid 126663988)
2. Al-Widyan, K., and Angeles, J., 2005, "A Model-Based Formulation of Robust Design," ASME J. Mech. Des., 127(3), pp. 388-396. (Pubitemid 40843874)
3. Chang, P. B., Williams, B. J., Bhalla, K. S. B., Belknap, T. W., Santner, T. J., Notz, W. I., and Bartel, D. L., 2001, "Design and Analysis of Robust Total Joint Replacements: Finite Element Model Experiments With Environmental Variables," ASME J. Biomech. Eng., 123(3), pp. 239-246. (Pubitemid 32643201)
4. Youn, B. D., Choi, K. K., and Park, Y. H., 2003, "Hybrid Analysis Method for Reliability-Based Design Optimization," ASME J. Mech. Des., 125(2), pp. 221-232.
5. Lee, S., and Chen, W., 2008, "A Comparative Study of Uncertainty Propagation Methods for Black-Box-Type Problems," Struct. Multidisc Optim., 37(3), pp. 239-253.
6. Hoffman, R., Sudjianto, A., Du, X., and Stout, J., 2003, "Robust Piston Design and Optimization Using Piston Secondary Motion Analysis," SAE Paper No. 2003-01-0148.
7. Repalle, J., and Grandhi, R. V., 2005, "Design of Forging Process Variables under Uncertainties," J. Mater. Eng. Perform., 14(1), pp. 123-131. (Pubitemid 40329853)
8. Aslett, R., Buck, R. J., Duvall, S. G., Sacks, J., and Welch, W. J., 1998, "Circuit Optimization via Sequential Computer Experiments: Design of an Output Buffer," J. R. Stat. Soc.: Ser. C, 47(1), pp. 31-48.
9. Apley, D., Liu, J., and Chen, W., 2006, "Understanding the Effects of Model Uncertainty in Robust Design With Computer Experiments," ASME J. Mech. Des., 128(4), pp. 945-958. (Pubitemid 44123184)
10. Jin, R., Du, X., and Chen, W., 2003, "The Use of Metamodeling Techniques for Optimization Under Uncertainty," Struct. Multidiscip. Optim., 25(2), pp. 99-116.
11. Mckay, M. D., and Conover, W., 1979, "A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code," Technometrics, 21(2), pp. 239-245. (Pubitemid 9452235)
12. Osio, I., and Amon, C. H., 1996, "An Engineering Design Methodology With Multistage Bayesian Surrogates and Optimal Sampling," Res. Eng. Des., 8(4), pp. 189-206. (Pubitemid 126610228)
13. Jones, D. R., Schonlau, M., and Welch, W. J., 1998, "Efficient Global Optimization of Expensive Black-Box Functions," J. Global Optim., 13(4), pp. 455-492. (Pubitemid 128507405)
14. Schonlau, M., Welch, W. J., and Jones, D. R., 1998, "Global versus Local Search in Constrained Optimization of Computer Models," Lect. Notes Monogr. Ser., 34, pp. 11-25.
15. Picheny, V., Ginsbourger, D., Roustant, O., Haftka, R. T., and Kim, N.-H., 2010, "Adaptive Designs of Experiments for Accurate Approximation of a Target Region," ASME J. Mech. Des., 132(7), p. 071008.
16. Lam, C., 2008, "Sequential Adaptive Designs in Computer Experiments for Response Surface Model Fit," Ph.D. thesis, The Ohio State University, Columbus, OH.
17. Lehman, J., Santner, T. J., and Notz,W., 2004, "Designing Computer Experiments to Determine Robust Control Variables," Stat. Sin., 14(2), pp. 571-590. Available at http://www3.stat.sinica.edu.tw/statistica/oldpdf/A14n213. pdf (Pubitemid 38907077)
18. Williams, B. J., Santner, T. J., and Notz, W., 2000, "Sequential Design of Computer Experiments to Minimize Integrated Response Functions," Stat. Sin., 10(4), pp. 1133-1152. Available at http://www3.stat.sinica.edu.tw/ statistica/oldpdf/A10n46.pdf (Pubitemid 33209599)
19. Williams, B. J., Santner, T. J., Notz, W. I., and Lehman, J. S., 2010, "Sequential Design of Computer Experiments for Constrained Optimization," Statistical Modelling and Regression Structures, Springer, Berlin, Germany
20. Jurecka, F., 2007, "Robust Design Optimization Based on Metamodeling Techniques," Ph.D. thesis, Technical University of Munich, Munich, Germany.
21. Kim, C., and Choi, K. K., 2008, "Reliability-Based Design Optimization Using Response Surface Method With Prediction Interval Estimation," ASME J. Mech. Des., 130(12), p. 121401.
22. Zhao, L., Choi, K. K., Lee, I., and Du, L., 2009, "Response Surface Method Using Sequential Sampling for Reliability-Based Design Optimization," Proceedings of the ASME International Design Engineering Technical Conferences, Brooklyn, NY.
23. Zhang, S., Zhu, P., Chen, W., and Arendt, P., 2012, "Concurrent Treatment of Parametric Uncertainty and Metamodeling Uncertainty in Robust Design," Struct. Multidiscip. Optim., 47(1), pp. 63-76.
24. O'hagan, A., 1978, "Curve Fitting and Optimal Design for Prediction," J. R. Stat. Soc. Ser. B (Methodol.), 40(1), pp. 1-41.
25. Sacks, J., Welch, W. J., Mitchell, T. J., and Wynn, H. P., 1989, "Design and Analysis of Computer Experiments," Stat. Sci., 4, pp. 409-423.
26. Schabenberger, O., and Gotway, C., 2005, Statistical Methods for Spatial Data Analysis Text in Statistical Science, Chapman & Hall/CRC, Boca Raton, FL.
27. Bushman, M., 2003, Radial Basis Functions: Theory and Implementations, Cambridge University Press, Cambridge, UK.
28. Vapnik, V., 2000, The Nature of Statistical Learning, Springer Science\+Business Media, Berlin, Germany.
29. Myers, R., and Montgomery, D., 2002, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, John Wiley & Sons, Inc., Hoboken, NJ.
30. Duffin, R., Peterson, E., and Zener, C., 1967, Geometric Programming, Wiley, New York.
31. Lehman, J., 2002, "Sequential Design of Computer Experiments for Robust Parameter Design," Ph.D. thesis, The Ohio State Univeristy, Columbus, OH.
32. Rasmussen, C. E., 1996, "Evaluation of Gaussian Processes and Other Methods for Non-Linear Regression," Ph. D. thesis, University of Toronto, Toronto, ON.
33. Jin, R., Chen, W., and Sudjianto, A., 2004, "Analytical Metamodel-Based Global Sensitivity Analysis and Uncertainty Propogation for Robust Design," SAE Transactions Journal of Materials and Manufacturing Paper No. 2004-01-0429.
34. Xiong, Y., Chen, W., Apley, D., and Ding, X., 2007, "A Non-Stationary Covariance-Based Kriging Method for Metamodelling in Engineering Design," Int. J. Numer. Methods Eng., 71(6), pp. 733-756. (Pubitemid 47226131)
35. Gramacy, R., and Lee, H., 2008, "Bayesian Treed Gaussian Process Models With an Application to Computer Modeling," J. Am. Stat. Assoc., 103(483), pp. 1119-1130.
36. Cressie, N., 1993, Statistics for Spatial Data, Wiley Series in Probability and Statistcs, Wiley, New York.
37. Billingsley, P., 1995, Probability and Measure, John Wiley & Sons, Inc., New York.