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ORIGINAL ARTICLES

A cautious approach to robust design with model parameter uncertainty

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Pages 471-482 | Received 01 Sep 2009, Accepted 01 Aug 2010, Published online: 31 Mar 2011

References

  • Apley , D. W. 2004 . A cautious minimum variance controller with ARIMA disturbances. . IIE Transactions , 36 : 417 – 432 .
  • Apley , D. W. and Kim , J. B. 2002 . “ A cautious approach to robust design with model uncertainty ” . In Proceedings of the 2002 Industrial Engineering Research Conference , Orlando, FL : IIE . paper 2164.
  • Apley , D. W. and Kim , J. B. 2004 . Cautious control of industrial process variability with uncertain input and disturbance model parameters. . Technometrics , 46 ( 2 ) : 188 – 199 .
  • Åström , K.J. and Wittenmark , B. 1995 . Adaptive Control, second edition , New York, NY : Addison-Wesley .
  • Box , G. E.P. and Hunter , J. S. 1954 . A confidence region for the solution of a set of simultaneous equations with an application to experimental design. . Biometrika , 41 : 190 – 199 .
  • Box , G. E.P. and Meyer , R. D. 1993 . Finding the active factors in fractional screening experiments. . Journal of Quality Technology , 25 : 94 – 105 .
  • Bunke , H. and Bunke , O. 1986 . Statistical Inference in Linear Models: Statistical Methods of Model Building, Volume I , New York, NY : Wiley .
  • Chipman , H. 1998 . Handling uncertainty in analysis of robust design experiments. . Journal of Quality Technology , 30 : 11 – 17 .
  • Joseph , V. R. 2006 . A Bayesian approach to the design and analysis of fractionated experiments. . Technometrics , 48 : 219 – 229 .
  • Joseph , V. R. and Delaney , J. D. 2007 . Functionally induced priors for the analysis of experiments. . Technometrics , 49 : 1 – 11 .
  • Khattree , R. 1996 . Robust parameter design: a response surface approach. . Journal of Quality Technology , 28 : 187 – 198 .
  • Kim , J. B. 2002 . A cautious approach to minimizing industrial process variability , Ph.D. dissertation, Department of Industrial Engineering, Texas A&M University .
  • Lucas , J. M. 1994 . How to achieve a robust process using response surface methodology. . Journal of Quality Technology , 26 : 248 – 260 .
  • Miró-Quesada , G. and Del Castillo , E. 2004 . Two approaches for improving the dual response method in robust parameter design. . Journal of Quality Technology , 36 : 15 – 168 .
  • Miró-Quesada , G. , Del Castillo , E. and Peterson , J. 2004 . A Bayesian Approach for multiple response surface optimization in the presence of noise variables. . Journal of Applied Statistics , 31 : 251 – 270 .
  • Monroe , E. M. , Pan , R. , Anderson-Cook , C.M. , Montgomery , D. C. and Borror , C. M. 2010 . Sensitivity analysis of optimal designs for accelerated life testing. . Journal of Quality Technology , 42 ( 2 ) : 121 – 135 .
  • Montgomery , D. C. 2001 . Design and Analysis of Experiments, fifth edition , New York, NY : John Wiley & Sons .
  • Myers , R. H. , Khuri , A. I. and Vining , G. 1992 . Response surface alternatives to the Taguchi robust parameter design approach. . The American Statistician , 46 : 131 – 139 .
  • Myers , R. H. and Montgomery , D. 2002 . Response Surface Methodology: Process and Product Optimization Using Designed Experiments , New York, NY : John Wiley & Sons .
  • Nair , V. N. 1992 . Taguchi's parameter design: a panel discussion. . Technometrics , 34 : 128 – 161 .
  • Ng , S. H. 2010 . A Bayesian model-averaging approach for multiple-response optimization. . Journal of Quality Technology , 42 : 52 – 68 .
  • Peterson , J. J. 2004 . A posterior predictive approach to multiple response surface optimization. . Journal of Quality Technology , 36 : 139 – 153 .
  • Peterson , J. J. , Cahya , S. and Del Castillo , E. 2002 . A general approach to confidence regions for optimal factor levels of response surfaces. . Biometrics , 58 : 422 – 431 .
  • Pignatiello , J. J. and Ramberg , J. S. 1985 . Discussion of off-line quality control, parameter design, and the Taguchi method. . Journal of Quality Technology , 17 : 198 – 206 .
  • Rajagopal , R. and Del Castillo , E. 2005 . Model-robust process optimization using Bayesian model averaging. . Technometrics , 47 : 152 – 163 .
  • Rajagopal , R. , Del Castillo , E. and Peterson , J. J. 2005 . Model and distribution-robust process optimization with noise factors. . Journal of Quality Technology , 37 : 210 – 222 .
  • Sahni , N.S. , Piepel , G. F. and Naes , T. 2009 . Product and process improvement using mixture-process variable methods and robust optimization techniques. . Journal of Quality Technology , 41 ( 2 ) : 181 – 197 .
  • Shoemaker , A. C. , Tsui , K. and Wu , C. F.J. 1991 . Economical experimentation methods for robust design. . Technometrics , 33 : 415 – 427 .
  • Taguchi , G. 1986 . Introduction to Quality Engineering , White Plains, NY : UNIPUB/Kraus International .
  • Vining , G. G. and Myers , R. H. 1990 . Combining Taguchi and response surface philosophies: a dual response approach. . Journal of Quality Technology , 22 : 38 – 45 .
  • Wu , C. F.J. and Hamada , M. 2000 . Experiments: Planning, Analysis, and Parameter Design Optimization , New York, NY : John Wiley & Sons .

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