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Shewhart control charts for dispersion adjusted for parameter estimation

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dc.contributor.authorGoedhart, Rob
dc.contributor.authorda Silva, Michele M.
dc.contributor.authorSchoonhoven, Marit
dc.contributor.authorEpprecht, Eugenio K.
dc.contributor.authorChakraborti, Subha
dc.contributor.authorDoes, Ronald J. M. M.
dc.contributor.authorVeiga, Alvaro
dc.contributor.otherUniversity of Amsterdam
dc.contributor.otherPontificia Universidade Catolica do Rio de Janeiro
dc.contributor.otherUniversity of Alabama Tuscaloosa
dc.date.accessioned2021-07-28T18:09:19Z
dc.date.available2021-07-28T18:09:19Z
dc.date.issued2017
dc.description.abstractSeveral recent studies have shown that the number of Phase I samples required for a Phase II control chart with estimated parameters to perform properly may be prohibitively high. Looking for a more practical alternative, adjusting the control limits has been considered in the literature. We consider this problem for the classic Shewhart charts for process dispersion under normality and present an analytical method to determine the adjusted control limits. Furthermore, we examine the performance of the resulting chart at signaling increases in the process dispersion. The proposed adjustment ensures that a minimum in-control performance of the control chart is guaranteed with a specified probability. This performance is indicated in terms of the false alarm rate or, equivalently, the in-control average run length. We also discuss the tradeoff between the in-control and out-of-control performance. Since our adjustment is based on exact analytical derivations, the recently suggested bootstrapmethod is no longer necessary. A real-life example is provided in order to illustrate the proposed methodology.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.citationGoedhart, R., Silva, M., Schoonhoven, M., Epprecht, E., Chakraborti, S., Does, R., Veiga, A. (2017): Shewhart Control Charts for Dispersion Adjusted for Parameter Estimation. IISE Transactions. 49(8).
dc.identifier.doi10.1080/24725854.2017.1299956
dc.identifier.orcidhttps://orcid.org/0000-0001-9966-0284
dc.identifier.orcidhttps://orcid.org/0000-0003-0200-6724
dc.identifier.orcidhttps://orcid.org/0000-0003-3452-6441
dc.identifier.urihttp://ir.ua.edu/handle/123456789/8001
dc.languageEnglish
dc.language.isoen_US
dc.publisherTaylor & Francis
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectS control chart
dc.subjectadjusted control limits
dc.subjectparameter estimation
dc.subjectPhase I
dc.subjectPhase II
dc.subjectSTANDARD-DEVIATION
dc.subject(X)OVER-BAR
dc.subjectPERFORMANCE
dc.subjectLIMITS
dc.subjectEngineering, Industrial
dc.subjectOperations Research & Management Science
dc.subjectEngineering
dc.titleShewhart control charts for dispersion adjusted for parameter estimationen_US
dc.typetext
dc.typeArticle

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