Economic design of X̄ and R charts under Weibull shock models
Autor(a) principal: | |
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Data de Publicação: | 2000 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1002/(SICI)1099-1638(200003/04)16:2<143 http://hdl.handle.net/11449/219231 |
Resumo: | This paper considers the problem of a continuous production process where both the mean and variance are simultaneously monitored by an X̄ chart and R chart respectively, and generalizes the model of Costa (IIE Transactions 1993; 25(6):27-33). The product variable quality characteristic is assumed to be normally distributed and the process is subject to two independent assignable causes (such as tool wear-out, overheating or vibration). One cause changes the process mean and the other changes the process variance. However, the occurrence of one kind of assignable cause does not preclude the occurrence of the other. It is also assumed that the occurrence times of the assignable causes are described by Weibull distributions with increasing failure rates. A cost model is developed and a non-uniform sampling interval scheme is adopted. A two-step search procedure is employed to determine the optimal design parameters. The relative contribution of the paper over the results obtained by Costa is addressed. A sensitivity analysis of the model is conducted and the cost savings associated with the use of non-uniform sampling intervals instead of constant sampling intervals are evaluated. The economic design model is then extended to an economic-statistical design model for achieving desired levels of statistical performance while minimizing the expected cost. Performances of purely economic design and economic-statistical design are compared. |
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Repositório Institucional da UNESP |
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Economic design of X̄ and R charts under Weibull shock modelsThis paper considers the problem of a continuous production process where both the mean and variance are simultaneously monitored by an X̄ chart and R chart respectively, and generalizes the model of Costa (IIE Transactions 1993; 25(6):27-33). The product variable quality characteristic is assumed to be normally distributed and the process is subject to two independent assignable causes (such as tool wear-out, overheating or vibration). One cause changes the process mean and the other changes the process variance. However, the occurrence of one kind of assignable cause does not preclude the occurrence of the other. It is also assumed that the occurrence times of the assignable causes are described by Weibull distributions with increasing failure rates. A cost model is developed and a non-uniform sampling interval scheme is adopted. A two-step search procedure is employed to determine the optimal design parameters. The relative contribution of the paper over the results obtained by Costa is addressed. A sensitivity analysis of the model is conducted and the cost savings associated with the use of non-uniform sampling intervals instead of constant sampling intervals are evaluated. The economic design model is then extended to an economic-statistical design model for achieving desired levels of statistical performance while minimizing the expected cost. Performances of purely economic design and economic-statistical design are compared.FEG-UNESP, 12500-000 Guaratinguetá, SPFaculty of Administration University of New Brunswick, Fredericton, NB E3B 5A3FEG-UNESP, 12500-000 Guaratinguetá, SPUniversidade Estadual Paulista (UNESP)University of New BrunswickCosta, Antonio F. B. [UNESP]Rahim, M. A.2022-04-28T18:54:29Z2022-04-28T18:54:29Z2000-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article143-156http://dx.doi.org/10.1002/(SICI)1099-1638(200003/04)16:2<143Quality and Reliability Engineering International, v. 16, n. 2, p. 143-156, 2000.0748-8017http://hdl.handle.net/11449/21923110.1002/(SICI)1099-1638(200003/04)16:2<1432-s2.0-0033738034Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengQuality and Reliability Engineering Internationalinfo:eu-repo/semantics/openAccess2022-04-28T18:54:29Zoai:repositorio.unesp.br:11449/219231Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-28T18:54:29Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Economic design of X̄ and R charts under Weibull shock models |
title |
Economic design of X̄ and R charts under Weibull shock models |
spellingShingle |
Economic design of X̄ and R charts under Weibull shock models Costa, Antonio F. B. [UNESP] |
title_short |
Economic design of X̄ and R charts under Weibull shock models |
title_full |
Economic design of X̄ and R charts under Weibull shock models |
title_fullStr |
Economic design of X̄ and R charts under Weibull shock models |
title_full_unstemmed |
Economic design of X̄ and R charts under Weibull shock models |
title_sort |
Economic design of X̄ and R charts under Weibull shock models |
author |
Costa, Antonio F. B. [UNESP] |
author_facet |
Costa, Antonio F. B. [UNESP] Rahim, M. A. |
author_role |
author |
author2 |
Rahim, M. A. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) University of New Brunswick |
dc.contributor.author.fl_str_mv |
Costa, Antonio F. B. [UNESP] Rahim, M. A. |
description |
This paper considers the problem of a continuous production process where both the mean and variance are simultaneously monitored by an X̄ chart and R chart respectively, and generalizes the model of Costa (IIE Transactions 1993; 25(6):27-33). The product variable quality characteristic is assumed to be normally distributed and the process is subject to two independent assignable causes (such as tool wear-out, overheating or vibration). One cause changes the process mean and the other changes the process variance. However, the occurrence of one kind of assignable cause does not preclude the occurrence of the other. It is also assumed that the occurrence times of the assignable causes are described by Weibull distributions with increasing failure rates. A cost model is developed and a non-uniform sampling interval scheme is adopted. A two-step search procedure is employed to determine the optimal design parameters. The relative contribution of the paper over the results obtained by Costa is addressed. A sensitivity analysis of the model is conducted and the cost savings associated with the use of non-uniform sampling intervals instead of constant sampling intervals are evaluated. The economic design model is then extended to an economic-statistical design model for achieving desired levels of statistical performance while minimizing the expected cost. Performances of purely economic design and economic-statistical design are compared. |
publishDate |
2000 |
dc.date.none.fl_str_mv |
2000-03-01 2022-04-28T18:54:29Z 2022-04-28T18:54:29Z |
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/10.1002/(SICI)1099-1638(200003/04)16:2<143 Quality and Reliability Engineering International, v. 16, n. 2, p. 143-156, 2000. 0748-8017 http://hdl.handle.net/11449/219231 10.1002/(SICI)1099-1638(200003/04)16:2<143 2-s2.0-0033738034 |
url |
http://dx.doi.org/10.1002/(SICI)1099-1638(200003/04)16:2<143 http://hdl.handle.net/11449/219231 |
identifier_str_mv |
Quality and Reliability Engineering International, v. 16, n. 2, p. 143-156, 2000. 0748-8017 10.1002/(SICI)1099-1638(200003/04)16:2<143 2-s2.0-0033738034 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Quality and Reliability Engineering International |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
143-156 |
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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1792961694721376256 |