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A robust desirability function method for multi-response surface optimization considering model uncertainty

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  • He, Zhen
  • Zhu, Peng-Fei
  • Park, Sung-Hyun

Abstract

A robust desirability function approach to simultaneously optimizing multiple responses is proposed. The approach considers the uncertainty associated with the fitted response surface model. The uniqueness of the proposed method is that it takes account of all values in the confidence interval rather than a single predicted value for each response and then defines the robustness measure for the traditional desirability function using the worst case strategy. A hybrid genetic algorithm is developed to find the robust optima. The presented method is compared with its conventional counterpart through an illustrated example from the literature.

Suggested Citation

  • He, Zhen & Zhu, Peng-Fei & Park, Sung-Hyun, 2012. "A robust desirability function method for multi-response surface optimization considering model uncertainty," European Journal of Operational Research, Elsevier, vol. 221(1), pages 241-247.
  • Handle: RePEc:eee:ejores:v:221:y:2012:i:1:p:241-247
    DOI: 10.1016/j.ejor.2012.03.009
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    References listed on IDEAS

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    Cited by:

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    5. Charles-Olivier Amédée-Manesme & Fabrice Barthélémy & Didier Maillard, 2019. "Computation of the corrected Cornish–Fisher expansion using the response surface methodology: application to VaR and CVaR," Annals of Operations Research, Springer, vol. 281(1), pages 423-453, October.
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