On the sensitivity of desirability functions for multiresponse optimization

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October 2008, 4(4): 685-696. doi: 10.3934/jimo.2008.4.685

On the sensitivity of desirability functions for multiresponse optimization

1.	Department of Industrial Engineering, ISIK University, Istanbul 34980, Turkey

Received May 2007 Revised June 2008 Published November 2008

Abstract
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Desirability functions have been one of the most important multiresponse optimization technique since the early eighties. Main reasons for this popularity might be counted as the convenience of the implementation of the method and it's availability in many experimental design software packages. Technique itself involves somehow subjective parameters such as the importance coefficients between response characteristics that are used to calculate overall desirability, weights used in determining the shape of each individual response and the size of the specification band of the response. However, the impact of these sensitive parameters on the solution set is mostly uninvestigated. This paper proposes a procedure to analyze the sensitivity of the important characteristic parameters of desirability functions and their impact on pareto-optimal solution set. The proposed procedure uses the experimental design tools on the solution space and estimates a prediction equation on the overall desirability to identify the sensitive parameters. For illustration, a classical desirability example is selected from the literature and results are given along with the discussion.

Keywords: multiresponse optimization., parametric sensitivity analysis, Desirability Functions.

Mathematics Subject Classification: Primary: 90C31; Secondary: 62K0.

Citation: Caglar S. Aksezer. On the sensitivity of desirability functions for multiresponse optimization. Journal of Industrial & Management Optimization, 2008, 4 (4) : 685-696. doi: 10.3934/jimo.2008.4.685

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