Economical control chart with supplementary rules to monitor the average number of defects
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/handle/123456789/52055 https://doi.org/10.1007/s00170-014-6237-1 |
Resumo: | This study proposes a procedure for an on-line process control system to monitor the average number of defects using a Shewhart-like chart with two sets of limits (viz., control and warning limits). After the production of m units, the mth item is inspected. If the number of defects exceeds the upper control limit or if, in a sequence of the last h inspections, all inspected items exhibit a number of defects between the warning and control limits, then the process is stopped for adjustment; otherwise, production continues. The properties of an ergodic Markov chain are used to obtain an expression for the average cost per item produced. The inspection interval (m), warning and control limits (W and C, respectively), and the sequence size (h) are determined by minimizing the average cost per produced item. A numerical example illustrates the proposed procedure. |
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Rocha, André Luiz Sena daMedeiros, Pledson Guedes deHo, Linda Lee2023-04-05T20:32:18Z2023-04-05T20:32:18Z2015ROCHA, André Luiz Sena da; MEDEIROS, Pledson Guedes de; HO, Linda Lee . Economical control chart with supplementary rules to monitor the average number of defects. The International Journal of Advanced Manufacturing Technology, v. 76, p. 881-891, 2015. DOI: https://doi.org/10.1007/s00170-014-6237-1. Disponível em:https://link.springer.com/article/10.1007/s00170-014-6237-1.. Acesso em: 05 abr. 2023.https://repositorio.ufrn.br/handle/123456789/52055https://doi.org/10.1007/s00170-014-6237-1The International Journal of Advanced Manufacturing Technology volumeMarkov chainOn-line process controlAverage number of defectsNumber of defects per inspected itemWarning limitPoisson distributionEconomical control chart with supplementary rules to monitor the average number of defectsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleThis study proposes a procedure for an on-line process control system to monitor the average number of defects using a Shewhart-like chart with two sets of limits (viz., control and warning limits). After the production of m units, the mth item is inspected. If the number of defects exceeds the upper control limit or if, in a sequence of the last h inspections, all inspected items exhibit a number of defects between the warning and control limits, then the process is stopped for adjustment; otherwise, production continues. The properties of an ergodic Markov chain are used to obtain an expression for the average cost per item produced. The inspection interval (m), warning and control limits (W and C, respectively), and the sequence size (h) are determined by minimizing the average cost per produced item. A numerical example illustrates the proposed procedure.info:eu-repo/semantics/openAccessengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNORIGINALEconomicalControlChart_Rocha _2015.pdfEconomicalControlChart_Rocha _2015.pdfapplication/pdf558564https://repositorio.ufrn.br/bitstream/123456789/52055/1/EconomicalControlChart_Rocha%20_2015.pdf38b2dbe9fe09135256534aad19fc250bMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.ufrn.br/bitstream/123456789/52055/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52123456789/520552023-04-05 17:42:42.38oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2023-04-05T20:42:42Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Economical control chart with supplementary rules to monitor the average number of defects |
title |
Economical control chart with supplementary rules to monitor the average number of defects |
spellingShingle |
Economical control chart with supplementary rules to monitor the average number of defects Rocha, André Luiz Sena da Markov chain On-line process control Average number of defects Number of defects per inspected item Warning limit Poisson distribution |
title_short |
Economical control chart with supplementary rules to monitor the average number of defects |
title_full |
Economical control chart with supplementary rules to monitor the average number of defects |
title_fullStr |
Economical control chart with supplementary rules to monitor the average number of defects |
title_full_unstemmed |
Economical control chart with supplementary rules to monitor the average number of defects |
title_sort |
Economical control chart with supplementary rules to monitor the average number of defects |
author |
Rocha, André Luiz Sena da |
author_facet |
Rocha, André Luiz Sena da Medeiros, Pledson Guedes de Ho, Linda Lee |
author_role |
author |
author2 |
Medeiros, Pledson Guedes de Ho, Linda Lee |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Rocha, André Luiz Sena da Medeiros, Pledson Guedes de Ho, Linda Lee |
dc.subject.por.fl_str_mv |
Markov chain On-line process control Average number of defects Number of defects per inspected item Warning limit Poisson distribution |
topic |
Markov chain On-line process control Average number of defects Number of defects per inspected item Warning limit Poisson distribution |
description |
This study proposes a procedure for an on-line process control system to monitor the average number of defects using a Shewhart-like chart with two sets of limits (viz., control and warning limits). After the production of m units, the mth item is inspected. If the number of defects exceeds the upper control limit or if, in a sequence of the last h inspections, all inspected items exhibit a number of defects between the warning and control limits, then the process is stopped for adjustment; otherwise, production continues. The properties of an ergodic Markov chain are used to obtain an expression for the average cost per item produced. The inspection interval (m), warning and control limits (W and C, respectively), and the sequence size (h) are determined by minimizing the average cost per produced item. A numerical example illustrates the proposed procedure. |
publishDate |
2015 |
dc.date.issued.fl_str_mv |
2015 |
dc.date.accessioned.fl_str_mv |
2023-04-05T20:32:18Z |
dc.date.available.fl_str_mv |
2023-04-05T20:32:18Z |
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 |
ROCHA, André Luiz Sena da; MEDEIROS, Pledson Guedes de; HO, Linda Lee . Economical control chart with supplementary rules to monitor the average number of defects. The International Journal of Advanced Manufacturing Technology, v. 76, p. 881-891, 2015. DOI: https://doi.org/10.1007/s00170-014-6237-1. Disponível em:https://link.springer.com/article/10.1007/s00170-014-6237-1.. Acesso em: 05 abr. 2023. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/handle/123456789/52055 |
dc.identifier.doi.none.fl_str_mv |
https://doi.org/10.1007/s00170-014-6237-1 |
identifier_str_mv |
ROCHA, André Luiz Sena da; MEDEIROS, Pledson Guedes de; HO, Linda Lee . Economical control chart with supplementary rules to monitor the average number of defects. The International Journal of Advanced Manufacturing Technology, v. 76, p. 881-891, 2015. DOI: https://doi.org/10.1007/s00170-014-6237-1. Disponível em:https://link.springer.com/article/10.1007/s00170-014-6237-1.. Acesso em: 05 abr. 2023. |
url |
https://repositorio.ufrn.br/handle/123456789/52055 https://doi.org/10.1007/s00170-014-6237-1 |
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 |
The International Journal of Advanced Manufacturing Technology volume |
publisher.none.fl_str_mv |
The International Journal of Advanced Manufacturing Technology volume |
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) |
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UFRN |
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UFRN |
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Repositório Institucional da UFRN |
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Repositório Institucional da UFRN |
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