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Steepest Ascent for Multiple-Response Applications

Summary: [This abstract is based on the authors' abstract.] The standard steepest ascent is of limited use for a fitted first-order model when there are multiple responses or additional constraints because it often optimizes one response to the detriment of the others. Three questions are considered: What search directions can be excluded from consideration? What graphical tools can help in understanding the tradeoffs? Do compromise directions exist that ensure improvement in all responses? It is shown that only search directions that are convex combinations of the paths of steepest ascent/descent need to be considered. The study also addresses how to proceed after a successful initial screening experiment.

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  • Topics: Design of Experiments, Reliability
  • Keywords: Desirability function, Optimization, Pareto charts, Response surface methodology (RSM)
  • Author: Mee, Robert W.; Xiao, Jihua
  • Journal: Technometrics