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T2 Control Charts with Variable Dimension

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T2 Control Charts with Variable Dimension

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dc.contributor.author Aparisi García, Francisco José es_ES
dc.contributor.author Epprecht, Eugenio K. es_ES
dc.contributor.author Ruiz Rivero, Omar José es_ES
dc.date.accessioned 2020-04-22T08:01:00Z
dc.date.available 2020-04-22T08:01:00Z
dc.date.issued 2012 es_ES
dc.identifier.issn 0022-4065 es_ES
dc.identifier.uri http://hdl.handle.net/10251/141293
dc.description.abstract [EN] This paper proposes a new multivariate T2 control chart, termed the variable dimension T2 (VDT2) chart, in which the number of monitored quality characteristics is variable. When there are p related variables to be monitored, the approach is useful if there is a subset of p1 variables that are easy and/or inexpensive to measure, while the remaining variables are difficult and/or expensive to measure but provide additional useful information on whether the process mean has shifted. The VDT2 chart adaptively determines the number of variables to be monitored (either p1 or p) depending on the last value of the charted statistic. We provide Windows®-based software to optimize the parameters of the control chart using a Markov chain model to compute the performance measures and a genetic algorithm to conduct the optimization. The optimized VDT2 chart is quite powerful, and we demonstrate the somewhat surprising result that it detects mean shifts faster than a standard T2 chart for which all p variables are always measured, while also reducing sampling costs. es_ES
dc.description.sponsorship This work has been supported by the Ministry of Education and Science of Spain, research project number DPI2009-09925, the CNPq (the Brazilian Council for Scientific and Technological Development), project numbers 302326/2008-1 and 473706/2010-5, and SENESCYT-Ecuador (National Secretary of Higher Education, Science, Technology and Innovation of Equador). The authors are grateful to the referees for their comments, which led to significant improvement of the paper, and especially to the Editor Daniel Apley for his valuable comments, careful revision, and also for giving us an explanation for the (apparently paradoxical) better performance of the VDT2 chart relative to the T2 chart on all variables. es_ES
dc.language Inglés es_ES
dc.relation.ispartof JOURNAL OF QUALITY TECHNOLOGY es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Adaptive Control es_ES
dc.subject Dimension es_ES
dc.subject Multivariate es_ES
dc.subject Optimization es_ES
dc.subject Statistical-Process Control es_ES
dc.subject.classification ESTADISTICA E INVESTIGACION OPERATIVA es_ES
dc.title T2 Control Charts with Variable Dimension es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1080/00224065.2012.11917907 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CNPq//302326%2F2008-1/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CNPq//473706%2F2010-5/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//DPI2009-09925/ES/Desarrollo De Graficos De Control De Calidad Optimos Y Universales/ es_ES
dc.rights.accessRights Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario Mixto de Biología Molecular y Celular de Plantas - Institut Universitari Mixt de Biologia Molecular i Cel·lular de Plantes es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Estadística e Investigación Operativa Aplicadas y Calidad - Departament d'Estadística i Investigació Operativa Aplicades i Qualitat es_ES
dc.description.bibliographicCitation Aparisi García, FJ.; Epprecht, EK.; Ruiz Rivero, OJ. (2012). T2 Control Charts with Variable Dimension. JOURNAL OF QUALITY TECHNOLOGY. 44(4):375-393. https://doi.org/10.1080/00224065.2012.11917907 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1080/00224065.2012.11917907 es_ES
dc.description.upvformatpinicio 375 es_ES
dc.description.upvformatpfin 393 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 44 es_ES
dc.description.issue 4 es_ES
dc.relation.pasarela S\238109 es_ES
dc.contributor.funder Conselho Nacional de Desenvolvimento Científico e Tecnológico, Brasil es_ES
dc.contributor.funder Secretaría de Educación Superior, Ciencia, Tecnología e Innovación, Ecuador es_ES
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
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