Double sampling X̄ control chart for a first order autoregressive process

Detalhes bibliográficos
Autor(a) principal: Claro, Fernando A. E. [UNESP]
Data de Publicação: 2008
Outros Autores: Costa, Antonio F. B. [UNESP], Machado, Marcela A. G. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1590/S0101-74382008000300008
http://hdl.handle.net/11449/70548
Resumo: In this paper we propose the Double Sampling X̄ control chart for monitoring processes in which the observations follow a first order autoregressive model. We consider sampling intervals that are sufficiently long to meet the rational subgroup concept. The Double Sampling X̄ chart is substantially more efficient than the Shewhart chart and the Variable Sample Size chart. To study the properties of these charts we derived closed-form expressions for the average run length (ARL) taking into account the within-subgroup correlation. Numerical results show that this correlation has a significant impact on the chart properties.
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spelling Double sampling X̄ control chart for a first order autoregressive processAutocorrelationDouble SamplingStatistical process controlIn this paper we propose the Double Sampling X̄ control chart for monitoring processes in which the observations follow a first order autoregressive model. We consider sampling intervals that are sufficiently long to meet the rational subgroup concept. The Double Sampling X̄ chart is substantially more efficient than the Shewhart chart and the Variable Sample Size chart. To study the properties of these charts we derived closed-form expressions for the average run length (ARL) taking into account the within-subgroup correlation. Numerical results show that this correlation has a significant impact on the chart properties.Production Department São Paulo State University (UNESP), Guaratinguetá - SPProduction Department São Paulo State University (UNESP), Guaratinguetá - SPUniversidade Estadual Paulista (Unesp)Claro, Fernando A. E. [UNESP]Costa, Antonio F. B. [UNESP]Machado, Marcela A. G. [UNESP]2014-05-27T11:23:39Z2014-05-27T11:23:39Z2008-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article545-562application/pdfhttp://dx.doi.org/10.1590/S0101-74382008000300008Pesquisa Operacional, v. 28, n. 3, p. 545-562, 2008.0101-74381678-5142http://hdl.handle.net/11449/7054810.1590/S0101-74382008000300008S0101-743820080003000082-s2.0-593491086762-s2.0-59349108676.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPesquisa Operacional0,365info:eu-repo/semantics/openAccess2024-07-02T17:37:20Zoai:repositorio.unesp.br:11449/70548Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:28:33.746373Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Double sampling X̄ control chart for a first order autoregressive process
title Double sampling X̄ control chart for a first order autoregressive process
spellingShingle Double sampling X̄ control chart for a first order autoregressive process
Claro, Fernando A. E. [UNESP]
Autocorrelation
Double Sampling
Statistical process control
title_short Double sampling X̄ control chart for a first order autoregressive process
title_full Double sampling X̄ control chart for a first order autoregressive process
title_fullStr Double sampling X̄ control chart for a first order autoregressive process
title_full_unstemmed Double sampling X̄ control chart for a first order autoregressive process
title_sort Double sampling X̄ control chart for a first order autoregressive process
author Claro, Fernando A. E. [UNESP]
author_facet Claro, Fernando A. E. [UNESP]
Costa, Antonio F. B. [UNESP]
Machado, Marcela A. G. [UNESP]
author_role author
author2 Costa, Antonio F. B. [UNESP]
Machado, Marcela A. G. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Claro, Fernando A. E. [UNESP]
Costa, Antonio F. B. [UNESP]
Machado, Marcela A. G. [UNESP]
dc.subject.por.fl_str_mv Autocorrelation
Double Sampling
Statistical process control
topic Autocorrelation
Double Sampling
Statistical process control
description In this paper we propose the Double Sampling X̄ control chart for monitoring processes in which the observations follow a first order autoregressive model. We consider sampling intervals that are sufficiently long to meet the rational subgroup concept. The Double Sampling X̄ chart is substantially more efficient than the Shewhart chart and the Variable Sample Size chart. To study the properties of these charts we derived closed-form expressions for the average run length (ARL) taking into account the within-subgroup correlation. Numerical results show that this correlation has a significant impact on the chart properties.
publishDate 2008
dc.date.none.fl_str_mv 2008-09-01
2014-05-27T11:23:39Z
2014-05-27T11:23:39Z
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/10.1590/S0101-74382008000300008
Pesquisa Operacional, v. 28, n. 3, p. 545-562, 2008.
0101-7438
1678-5142
http://hdl.handle.net/11449/70548
10.1590/S0101-74382008000300008
S0101-74382008000300008
2-s2.0-59349108676
2-s2.0-59349108676.pdf
url http://dx.doi.org/10.1590/S0101-74382008000300008
http://hdl.handle.net/11449/70548
identifier_str_mv Pesquisa Operacional, v. 28, n. 3, p. 545-562, 2008.
0101-7438
1678-5142
10.1590/S0101-74382008000300008
S0101-74382008000300008
2-s2.0-59349108676
2-s2.0-59349108676.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pesquisa Operacional
0,365
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 545-562
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
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