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Multiresponse optimization with consideration of probabilistic covariates

Hejazi, T. H., Bashiri, Mahdi, Noghondarian, Kazem and Atkinson, Anthony C. (2010) Multiresponse optimization with consideration of probabilistic covariates. Quality and Reliability Engineering International, 27 (4). pp. 437-449. ISSN 0748-8017

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In many complex experiments, nuisance factor may have large effects that must be accounted for. Covariates are one of the most important kinds of nuisance factors that can be measured but cannot be controlled within the experimental runs. In this paper a novel approach is proposed, based on goal programming, to find the best combination of factors so as to optimize multiresponse-multicovariate surfaces with consideration of location and dispersion effects. Furthermore, it is supposed that several covariates considered in the experiment have probability distributions of known form. One objective is to find the most probable values of each covariate. For this purpose, a multiobjective mathematical optimization model is proposed and its efficacy is demonstrated by two numerical examples.

Item Type: Article
Official URL:
Additional Information: © 2010 John Wiley & Sons, Ltd.
Library of Congress subject classification: H Social Sciences > HA Statistics
Q Science > QA Mathematics > QA76 Computer software
Sets: Departments > Statistics
Identification Number: UT ISI:000291065400006
Date Deposited: 20 Jun 2011 13:53

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