Extending the desirability function to account for variability measures in univariate and multivariate response experiments

  • Authors:
  • P. L. Goethals;B. R. Cho

  • Affiliations:
  • Department of Mathematical Sciences, United States Military Academy, West Point, NY 10996, United States;Department of Industrial Engineering, Clemson University, Clemson, SC 29634, United States

  • Venue:
  • Computers and Industrial Engineering
  • Year:
  • 2012

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Abstract

One technique used frequently among quality practitioners seeking solutions to multi-response optimization problems is the desirability function approach. The technique involves modeling each characteristic using response surface designs and then transforming the characteristics into a single performance measure. The traditional procedure, however, calls for estimating only the mean response; the variability among the characteristics is not considered. Furthermore, the approach typically relies on the accuracy of second-order polynomials in its estimation, which are not always suitable. This paper, in contrast, proposes a methodology that utilizes higher-order estimation techniques and incorporates the concepts of robust design to account for process variability. Several examples are provided to illustrate the effectiveness of the proposed methodology.