The T2 chart with mixed samples to control bivariate autocorrelated processes

Detalhes bibliográficos
Autor(a) principal: Leoni, Roberto Campos [UNESP]
Data de Publicação: 2016
Outros Autores: Machado, Marcela Aparecida Guerreiro [UNESP], Costa, Antonio Fernando Branco [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1080/00207543.2015.1102983
http://hdl.handle.net/11449/177558
Resumo: In this paper, we propose the use of the T2 chart with the mixed sampling strategy (MS) to monitor the mean vector of bivariate processes with observations that fit to a first-order vector autoregressive model. With the MS, rational subgroups of size n are taken from the process and the selected units are regrouped to form the mixed samples. The units of the mixed samples are units selected from the last two rational subgroups. The aim of the proposed sampling strategy is to reduce the negative effect of the autocorrelation on the performance of the T2 chart. When the two variables are autocorrelated, the MS always enhances the T2 chart performance, however, the mixed samples are not recommended for bivariate processes with only one autocorrelated variable which is rarely affected by the assignable cause.
id UNSP_ca17225acba709f15cea05e74bdf1e8c
oai_identifier_str oai:repositorio.unesp.br:11449/177558
network_acronym_str UNSP
network_name_str Repositório Institucional da UNESP
repository_id_str 2946
spelling The T2 chart with mixed samples to control bivariate autocorrelated processesAutocorrelationMixed samplesSampling strategiesT2 control chartIn this paper, we propose the use of the T2 chart with the mixed sampling strategy (MS) to monitor the mean vector of bivariate processes with observations that fit to a first-order vector autoregressive model. With the MS, rational subgroups of size n are taken from the process and the selected units are regrouped to form the mixed samples. The units of the mixed samples are units selected from the last two rational subgroups. The aim of the proposed sampling strategy is to reduce the negative effect of the autocorrelation on the performance of the T2 chart. When the two variables are autocorrelated, the MS always enhances the T2 chart performance, however, the mixed samples are not recommended for bivariate processes with only one autocorrelated variable which is rarely affected by the assignable cause.Production Department São Paulo State University (UNESP)Military Academy of Agulhas NegrasProduction Department São Paulo State University (UNESP)Universidade Estadual Paulista (Unesp)Military Academy of Agulhas NegrasLeoni, Roberto Campos [UNESP]Machado, Marcela Aparecida Guerreiro [UNESP]Costa, Antonio Fernando Branco [UNESP]2018-12-11T17:25:58Z2018-12-11T17:25:58Z2016-06-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article3294-3310application/pdfhttp://dx.doi.org/10.1080/00207543.2015.1102983International Journal of Production Research, v. 54, n. 11, p. 3294-3310, 2016.1366-588X0020-7543http://hdl.handle.net/11449/17755810.1080/00207543.2015.11029832-s2.0-849451627402-s2.0-84945162740.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Production Research1,432info:eu-repo/semantics/openAccess2024-07-02T17:37:06Zoai:repositorio.unesp.br:11449/177558Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:53:51.443421Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv The T2 chart with mixed samples to control bivariate autocorrelated processes
title The T2 chart with mixed samples to control bivariate autocorrelated processes
spellingShingle The T2 chart with mixed samples to control bivariate autocorrelated processes
Leoni, Roberto Campos [UNESP]
Autocorrelation
Mixed samples
Sampling strategies
T2 control chart
title_short The T2 chart with mixed samples to control bivariate autocorrelated processes
title_full The T2 chart with mixed samples to control bivariate autocorrelated processes
title_fullStr The T2 chart with mixed samples to control bivariate autocorrelated processes
title_full_unstemmed The T2 chart with mixed samples to control bivariate autocorrelated processes
title_sort The T2 chart with mixed samples to control bivariate autocorrelated processes
author Leoni, Roberto Campos [UNESP]
author_facet Leoni, Roberto Campos [UNESP]
Machado, Marcela Aparecida Guerreiro [UNESP]
Costa, Antonio Fernando Branco [UNESP]
author_role author
author2 Machado, Marcela Aparecida Guerreiro [UNESP]
Costa, Antonio Fernando Branco [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Military Academy of Agulhas Negras
dc.contributor.author.fl_str_mv Leoni, Roberto Campos [UNESP]
Machado, Marcela Aparecida Guerreiro [UNESP]
Costa, Antonio Fernando Branco [UNESP]
dc.subject.por.fl_str_mv Autocorrelation
Mixed samples
Sampling strategies
T2 control chart
topic Autocorrelation
Mixed samples
Sampling strategies
T2 control chart
description In this paper, we propose the use of the T2 chart with the mixed sampling strategy (MS) to monitor the mean vector of bivariate processes with observations that fit to a first-order vector autoregressive model. With the MS, rational subgroups of size n are taken from the process and the selected units are regrouped to form the mixed samples. The units of the mixed samples are units selected from the last two rational subgroups. The aim of the proposed sampling strategy is to reduce the negative effect of the autocorrelation on the performance of the T2 chart. When the two variables are autocorrelated, the MS always enhances the T2 chart performance, however, the mixed samples are not recommended for bivariate processes with only one autocorrelated variable which is rarely affected by the assignable cause.
publishDate 2016
dc.date.none.fl_str_mv 2016-06-02
2018-12-11T17:25:58Z
2018-12-11T17:25:58Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1080/00207543.2015.1102983
International Journal of Production Research, v. 54, n. 11, p. 3294-3310, 2016.
1366-588X
0020-7543
http://hdl.handle.net/11449/177558
10.1080/00207543.2015.1102983
2-s2.0-84945162740
2-s2.0-84945162740.pdf
url http://dx.doi.org/10.1080/00207543.2015.1102983
http://hdl.handle.net/11449/177558
identifier_str_mv International Journal of Production Research, v. 54, n. 11, p. 3294-3310, 2016.
1366-588X
0020-7543
10.1080/00207543.2015.1102983
2-s2.0-84945162740
2-s2.0-84945162740.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Production Research
1,432
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 3294-3310
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128718460157952