Designs of mixed resolution for process robustness studies

A robust process is a process that is insensitive to changes in uncontrollable variables. In this article a class of designs that can be used to achieve a robust process is proposed. These new designs are similar in structure to classical central composite designs, but they are of mixed resolution. That is, the new designs are at least Resolution V among the signal factors and are at least Resolution III among the noise factors. A catalog of the new designs, known as composite mixed-resolution (CMR) designs, is included for the practitioner. A comparison of the sizes of robustness designs shows that many CMR designs are superior to or competitive with the corresponding Taguchi designs. The response surface models associated with these two classes of robustness designs are also compared. D efficiencies and G efficiencies of the CMR designs are included.

[1]  William G. Cochran,et al.  Experimental Designs, 2nd Edition , 1950 .

[2]  O. L. Davies,et al.  The Design and Analysis of Experiments , 1953 .

[3]  James M. Lucas,et al.  How to Achieve a Robust Process Using Response Surface Methodology , 1994 .

[4]  R. H. Farrell,et al.  Optimum multivariate designs , 1967 .

[5]  J. Senturia System of Experimental Design (Vol. 2) , 1989 .

[6]  J. Kiefer,et al.  The Equivalence of Two Extremum Problems , 1960, Canadian Journal of Mathematics.

[7]  M. E. Welch,et al.  State Space Modeling of Time Series , 1989 .

[8]  W. G. Hunter,et al.  Minimum Aberration 2 k–p Designs , 1980 .

[9]  Jerome Sacks,et al.  Designs for Computer Experiments , 1989 .

[10]  Dennis K. J. Lin,et al.  On the identity relationships of 2−p designs , 1991 .

[11]  Jiahua Chen,et al.  Some Results on $s^{n-k}$ Fractional Factorial Designs with Minimum Aberration or Optimal Moments , 1991 .

[12]  M. F. Franklin Constructing Tables of Minimum Aberration pn-m Designs , 1984 .

[13]  Jiahua Chen,et al.  Some Results on $2^{n - k}$ Fractional Factorial Designs and Search for Minimum Aberration Designs , 1992 .

[14]  George E. P. Box,et al.  Studies in Quality Improvement: Minimizing Transmitted Variation by Parameter Design , 1986 .

[15]  John J. Borkowski Finding maximum G-criterion values for central composite designs on the hypercube , 1995 .

[16]  G. Box,et al.  On the Experimental Attainment of Optimum Conditions , 1951 .

[17]  J. Borkowski Spherical prediction-variance properties of central composite and Box-Behnken designs , 1995 .

[18]  Kwok-Leung Tsui,et al.  Economical experimentation methods for robust design , 1991 .

[19]  H. O. Hartley,et al.  Smallest Composite Designs for Quadratic Response Surfaces , 1959 .

[20]  R. H. Myers,et al.  Response Surface Alternatives to the Taguchi Robust Parameter Design Approach , 1992 .