Double sampling X̄ control chart for a first order autoregressive process
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | , |
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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Repositório Institucional da UNESP |
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2946 |
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 |
|
_version_ |
1808129524113604608 |