Monitoring bivariate processes with synthetic control charts based on sample ranges

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dc.contributor.authorMacHado, Marcela [UNESP]
dc.contributor.authorCosta, Antonio
dc.contributor.authorSimões, Felipe Domingues [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionInstituto de Engenharia de Produção e Gestão - IEPG
dc.date.accessioned2023-07-29T13:58:17Z
dc.date.available2023-07-29T13:58:17Z
dc.date.issued2023-01-01
dc.description.abstractThe RMAX chart was proposed to control the covariance matrix of two quality characteristics. The monitoring statistic of the RMAX chart is the maximum of two standardized sample ranges from bivariate observations of two quality characteristics. In this article, we investigate the performance of two synthetic RMAX charts. The first synthetic chart signals when a second point, not far from the first one, falls beyond the warning limit. The second synthetic chart additionally signals when a sample point falls beyond the control limit. The performance of the synthetic RMAX charts are compared with the performance of the standard RMAX chart and the generalized variance |S| chart. The proposed charts are the best option to detect moderate or even small changes in the covariance matrix. To detect large changes in the covariance matrix, additional run rules are not necessary.en
dc.description.affiliationUniversidade Estadual Paulista - UNESP Faculdade de Engenharia e Ciências - FEG Departamento de Produção, SP
dc.description.affiliationUniversidade Federal de Itajubá - UNIFEI Instituto de Engenharia de Produção e Gestão - IEPG, MG
dc.description.affiliationUnespUniversidade Estadual Paulista - UNESP Faculdade de Engenharia e Ciências - FEG Departamento de Produção, SP
dc.identifierhttp://dx.doi.org/10.1590/1806-9649-2022v29e6822
dc.identifier.citationGestao e Producao, v. 30.
dc.identifier.doi10.1590/1806-9649-2022v29e6822
dc.identifier.issn1806-9649
dc.identifier.issn0104-530X
dc.identifier.scopus2-s2.0-85161291584
dc.identifier.urihttp://hdl.handle.net/11449/248952
dc.language.isoeng
dc.relation.ispartofGestao e Producao
dc.sourceScopus
dc.subjectBivariate processes
dc.subjectRMAX chart
dc.subjectSynthetic run rules
dc.titleMonitoring bivariate processes with synthetic control charts based on sample rangesen
dc.titleGráficos de controle baseado em amplitudes amostrais e regras especiais de decisão para o monitoramento de processos bivariadospt
dc.typeArtigo
unesp.departmentProdução - FEGpt

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Guaratinguetá - FEG - Faculdade de Engenharia e Ciências