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Optimal linear combination of poisson variables for multivariate statistical process control

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Optimal linear combination of poisson variables for multivariate statistical process control

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dc.contributor.author Kahn Epprecht, Eugenio es_ES
dc.contributor.author Aparisi García, Francisco José es_ES
dc.contributor.author García Bustos, Sandra Lorena es_ES
dc.date.accessioned 2015-07-01T10:42:34Z
dc.date.available 2015-07-01T10:42:34Z
dc.date.issued 2013-12
dc.identifier.issn 0305-0548
dc.identifier.uri http://hdl.handle.net/10251/52556
dc.description.abstract In this paper we analyze the monitoring of p Poisson quality characteristics simultaneously, developing a new multivariate control chart based on the linear combination of the Poisson variables, the LCP control chart. The optimization of the coefficients of this linear combination (and control limit) for minimizing the out-of-control ARL is constrained by the desired in-control ARL. In order to facilitate the use of this new control chart the optimization is carried out employing user-friendly Windows© software, which also makes a comparison of performance between this chart and other schemes based on monitoring a set of Poisson variables; namely a control chart on the sum of the variables (MP chart), a control chart on their maximum (MX chart) and an optimized set of univariate Poisson charts (Multiple scheme). The LCP control chart shows very good performance. First, the desired in-control ARL (ARL0) is perfectly matched because the linear combination of Poisson variables is not constrained to integer values, which is an advantage over the rest of charts, which cannot in general match the required ARL0 value. Second, in the vast majority of cases this scheme signals process shifts faster than the rest of the charts. 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 Equator). The authors are grateful to the referees for their comments, which led to significant improvement of the paper. en_EN
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Computers and Operations Research es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Control chart es_ES
dc.subject Poisson es_ES
dc.subject Genetic algorithms es_ES
dc.subject Multivariate SPC es_ES
dc.subject.classification ESTADISTICA E INVESTIGACION OPERATIVA es_ES
dc.title Optimal linear combination of poisson variables for multivariate statistical process control es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.cor.2013.07.007
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//DPI2009-09925/ES/Desarrollo De Graficos De Control De Calidad Optimos Y Universales/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CNPq //302326/2008-1/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CNPq //d 473706/2010-5/
dc.rights.accessRights Abierto 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 Kahn Epprecht, E.; Aparisi García, FJ.; García Bustos, SL. (2013). Optimal linear combination of poisson variables for multivariate statistical process control. Computers and Operations Research. 40(12):3021-3032. https://doi.org/10.1016/j.cor.2013.07.007 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1016/j.cor.2013.07.007 es_ES
dc.description.upvformatpinicio 3021 es_ES
dc.description.upvformatpfin 3032 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 40 es_ES
dc.description.issue 12 es_ES
dc.relation.senia 264679
dc.identifier.eissn 1873-765X
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Secretaría de Educación Superior, Ciencia, Tecnología e Innovación, Ecuador
dc.contributor.funder Conselho Nacional de Desenvolvimento Científico e Tecnológico, Brasil


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