Analysis of Dynamic Robust Design Experiment with Explicit & Hidden Noise Variables

Abstract The response model approach proposed in Tsui [25] allows greater flexibility to investigate factor effects for analyzing dynamic robust design experiments. This article generalizes the response model approach based on a generalized linear model. We develop a generalized two-step optimization procedure to substantially reduce the process variance by dampening the effect of both explicit and hidden noise variables. The proposed method provides more reliable results through iterative modeling of the residuals from the fitted response model. The method is compared with three existing approaches (the response model, the loss model, and the response function model) in two practical examples.

[1]  Jerome Sacks,et al.  Computer Experiments for Quality Control by Parameter Design , 1990 .

[2]  Changbao Wu,et al.  Analysis of Designed Experiments with Complex Aliasing , 1992 .

[3]  John A. Nelder,et al.  Robust Design via Generalized Linear Models , 2003 .

[4]  V. Roshan Joseph,et al.  Robust Parameter Design of Multiple-Target Systems , 2002, Technometrics.

[5]  R. Cook Generalized Linear Model , 2005 .

[6]  J. Engel,et al.  Modelling Variation in Industrial Experiments , 1992 .

[7]  A. C. Shoemaker,et al.  Performance Measures Independent of Adjustment: An Explanation and Extension of Taguchi's Signal-to-Noise Ratios , 1987 .

[8]  John A. Nelder,et al.  Generalized linear models for the analysis of Taguchi-type experiments , 1991 .

[9]  Kwok-Leung Tsui,et al.  Analysis of dynamic robust design experiments , 1997 .

[10]  D. Byrne,et al.  Robust function for attaining high reliability at low cost , 1993, Annual Reliability and Maintainability Symposium 1993 Proceedings.

[11]  J. Grego Generalized Linear Models and Process Variation , 1993 .

[12]  Gary S. Wasserman,et al.  Graphical methods for robust design with dynamic characteristics , 1997 .

[13]  V. R. Joseph,et al.  Performance Measures in Dynamic Parameter Design , 2002 .

[14]  Arden Miller,et al.  Parameter Design for Signal-Response Systems: A Different Look at Taguchi's Dynamic Parameter Design , 1996 .

[15]  Kwok-Leung Tsui Alternatives of Taguchi's Approach for Dynamic Robust Design Problems , 1998 .

[16]  R. H. Myers,et al.  A TUTORIAL ON GENERALIZED LINEAR MODELS , 1997 .

[17]  Neil R. Ullman,et al.  Signal-to-noise ratios, performance criteria, and transformations , 1988 .

[18]  Ten-Chin Wen,et al.  Experimental strategy : application of Taguchi's quality engineering method to zinc phosphate coating uniformity , 1994 .

[19]  K. Tsui Modeling and analysis of dynamic robust design experiments , 1999 .

[20]  J. Engel,et al.  A generalized linear modeling approach to robust design , 1996 .

[21]  Genichi Taguchi System Of Experimental Design: Engineering Methods To Optimize Quality And Minimize Costs , 1987 .