A Study of Optimizing Functional Response Problems Based on Principal Component Analysis

Abstract

Abstract:

A method is presented to optimize the profile based on functional response optimization method combining the dual response surface method with the satisfaction function based on principal component analysis. The response value of each observation point is treated as an independent response. The Profile has been as multiresponse optimization problem of nominalthebest type. First, desirability function is used to measure the mean and variance for each observed point. Finally, the principal component analysis (PCA) is adopted to derive the overall performance index (OPI) for multiple response which is the weighted sum of principal values of both the desirability values of mean and variance for each observed point. A methodology is utilized for optimizing the problem of correlated observed points while involving the simultaneous optimization of the process mean and variance. Examples show that the method is simple, with satisfactory optimization results.

Key words: functional response, principal component analysis, dual response surface method, desirability function approach

XU Jing HE Zhen CHEN Zhezhi YUAN Rong. A Study of Optimizing Functional Response Problems Based on Principal Component Analysis[J]. Industrial Engineering Journal .

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