A combined npx X control chart to monitor the process mean in a two-stage sampling
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/handle/123456789/52057 |
Resumo: | This paper proposes a new combined npx X control chart for monitoring the mean of a process. A sample of size n is split into two sub-samples of sizes n1 and n2 =n-n1, determined by an optimization search. The units of the first sub-sample are evaluated by attributes and plotted on an npx control chart. If this chart signals an out-of-control condition, then values of the quality characteristic of interest are collected from the units of the second sub-sample, and the sample mean is calculated and plotted on an X control chart. If both control charts signal, then the process is halted for adjustment. The possibility that all n items will not be inspected may lead to a reduction in both the cost and time spent on examining the sampled items. The performance of the proposed procedure is compared to that of two separate X and npx control charts. The proposed procedure exhibits superior performance to the X control chart for a variety of sample sizes, n, and shifts, d, of the target mean. The average time to signal (ATS) for the combined control chart was lower than that calculated for a single X or npx control chart, indicating that the combined control chart is an efficient tool for monitoring the process mean. |
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Sampaio, Elvis S.Ho, Linda LeeMedeiros, Pledson G. de2023-04-05T20:57:09Z2023-04-05T20:57:09Z2013-06SAMPAIO, Elvis S.; HO, Linda Lee; MEDEIROS, Pledson G. de. A Combined npx−X¯ control chart to monitor the process mean in a two-stage sampling. Quality and Reliability Engineering International (Print), v. 30, p. 1003-1013, 2014. Disponível em: http://onlinelibrary.wiley.com/doi/10.1002/qre.1528/abstract;jsessionid=422BA9D78605B9EDDCD6ED5B9CA410E7.f03t03. Acesso em: 08 dez. 2017https://repositorio.ufrn.br/handle/123456789/5205710.1002/qre.1528Quality and Reliability Engineering InternationalQuality controlMonitoring the process meanControl chartControl chart X¯Npx control chartCombined control chartA combined npx X control chart to monitor the process mean in a two-stage samplinginfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleThis paper proposes a new combined npx X control chart for monitoring the mean of a process. A sample of size n is split into two sub-samples of sizes n1 and n2 =n-n1, determined by an optimization search. The units of the first sub-sample are evaluated by attributes and plotted on an npx control chart. If this chart signals an out-of-control condition, then values of the quality characteristic of interest are collected from the units of the second sub-sample, and the sample mean is calculated and plotted on an X control chart. If both control charts signal, then the process is halted for adjustment. The possibility that all n items will not be inspected may lead to a reduction in both the cost and time spent on examining the sampled items. The performance of the proposed procedure is compared to that of two separate X and npx control charts. The proposed procedure exhibits superior performance to the X control chart for a variety of sample sizes, n, and shifts, d, of the target mean. The average time to signal (ATS) for the combined control chart was lower than that calculated for a single X or npx control chart, indicating that the combined control chart is an efficient tool for monitoring the process mean.info:eu-repo/semantics/openAccessengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.ufrn.br/bitstream/123456789/52057/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52123456789/520572023-04-05 17:58:22.06oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2023-04-05T20:58:22Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
A combined npx X control chart to monitor the process mean in a two-stage sampling |
title |
A combined npx X control chart to monitor the process mean in a two-stage sampling |
spellingShingle |
A combined npx X control chart to monitor the process mean in a two-stage sampling Sampaio, Elvis S. Quality control Monitoring the process mean Control chart Control chart X¯ Npx control chart Combined control chart |
title_short |
A combined npx X control chart to monitor the process mean in a two-stage sampling |
title_full |
A combined npx X control chart to monitor the process mean in a two-stage sampling |
title_fullStr |
A combined npx X control chart to monitor the process mean in a two-stage sampling |
title_full_unstemmed |
A combined npx X control chart to monitor the process mean in a two-stage sampling |
title_sort |
A combined npx X control chart to monitor the process mean in a two-stage sampling |
author |
Sampaio, Elvis S. |
author_facet |
Sampaio, Elvis S. Ho, Linda Lee Medeiros, Pledson G. de |
author_role |
author |
author2 |
Ho, Linda Lee Medeiros, Pledson G. de |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Sampaio, Elvis S. Ho, Linda Lee Medeiros, Pledson G. de |
dc.subject.por.fl_str_mv |
Quality control Monitoring the process mean Control chart Control chart X¯ Npx control chart Combined control chart |
topic |
Quality control Monitoring the process mean Control chart Control chart X¯ Npx control chart Combined control chart |
description |
This paper proposes a new combined npx X control chart for monitoring the mean of a process. A sample of size n is split into two sub-samples of sizes n1 and n2 =n-n1, determined by an optimization search. The units of the first sub-sample are evaluated by attributes and plotted on an npx control chart. If this chart signals an out-of-control condition, then values of the quality characteristic of interest are collected from the units of the second sub-sample, and the sample mean is calculated and plotted on an X control chart. If both control charts signal, then the process is halted for adjustment. The possibility that all n items will not be inspected may lead to a reduction in both the cost and time spent on examining the sampled items. The performance of the proposed procedure is compared to that of two separate X and npx control charts. The proposed procedure exhibits superior performance to the X control chart for a variety of sample sizes, n, and shifts, d, of the target mean. The average time to signal (ATS) for the combined control chart was lower than that calculated for a single X or npx control chart, indicating that the combined control chart is an efficient tool for monitoring the process mean. |
publishDate |
2013 |
dc.date.issued.fl_str_mv |
2013-06 |
dc.date.accessioned.fl_str_mv |
2023-04-05T20:57:09Z |
dc.date.available.fl_str_mv |
2023-04-05T20:57:09Z |
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.citation.fl_str_mv |
SAMPAIO, Elvis S.; HO, Linda Lee; MEDEIROS, Pledson G. de. A Combined npx−X¯ control chart to monitor the process mean in a two-stage sampling. Quality and Reliability Engineering International (Print), v. 30, p. 1003-1013, 2014. Disponível em: http://onlinelibrary.wiley.com/doi/10.1002/qre.1528/abstract;jsessionid=422BA9D78605B9EDDCD6ED5B9CA410E7.f03t03. Acesso em: 08 dez. 2017 |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/handle/123456789/52057 |
dc.identifier.doi.none.fl_str_mv |
10.1002/qre.1528 |
identifier_str_mv |
SAMPAIO, Elvis S.; HO, Linda Lee; MEDEIROS, Pledson G. de. A Combined npx−X¯ control chart to monitor the process mean in a two-stage sampling. Quality and Reliability Engineering International (Print), v. 30, p. 1003-1013, 2014. Disponível em: http://onlinelibrary.wiley.com/doi/10.1002/qre.1528/abstract;jsessionid=422BA9D78605B9EDDCD6ED5B9CA410E7.f03t03. Acesso em: 08 dez. 2017 10.1002/qre.1528 |
url |
https://repositorio.ufrn.br/handle/123456789/52057 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Quality and Reliability Engineering International |
publisher.none.fl_str_mv |
Quality and Reliability Engineering International |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
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Universidade Federal do Rio Grande do Norte (UFRN) |
instacron_str |
UFRN |
institution |
UFRN |
reponame_str |
Repositório Institucional da UFRN |
collection |
Repositório Institucional da UFRN |
bitstream.url.fl_str_mv |
https://repositorio.ufrn.br/bitstream/123456789/52057/2/license.txt |
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Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN) |
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1802117572612587520 |