Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control Times

In this paper, Gamma(lambda, 2) distribution is considered as a failure model for the economic statistical design of X control charts. The study shows that the statistical performance of control charts can be improved significantly, with only a slight increase in the cost, by adding constraints to t...

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المؤلف الرئيسي: Al-Oraini, H.A. (author)
مؤلفون آخرون: Rahim, M.A. (author), unknown (author)
التنسيق: article
منشور في: 2020
الموضوعات:
الوصول للمادة أونلاين:https://eprints.kfupm.edu.sa/id/eprint/2389/1/economic_statistical_design_of__x_over_b_al_oraini_isi_000177243000015.pdf
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author Al-Oraini, H.A.
author2 Rahim, M.A.
unknown
author2_role author
author
author_facet Al-Oraini, H.A.
Rahim, M.A.
unknown
author_role author
dc.creator.none.fl_str_mv Al-Oraini, H.A.
Rahim, M.A.
unknown
dc.date.*.fl_str_mv 2020
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://eprints.kfupm.edu.sa/id/eprint/2389/1/economic_statistical_design_of__x_over_b_al_oraini_isi_000177243000015.pdf
Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control Times. COMPUTERS INDUSTRIAL ENGINEERING, 43. pp. 645-654.
dc.language.none.fl_str_mv en
dc.publisher.none.fl_str_mv PERGAMON-ELSEVIER SCIENCE LTD
dc.relation.none.fl_str_mv https://eprints.kfupm.edu.sa/id/eprint/2389/
dc.rights.*.fl_str_mv info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Systems
dc.title.none.fl_str_mv Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control Times
dc.type.none.fl_str_mv Article
PeerReviewed
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description In this paper, Gamma(lambda, 2) distribution is considered as a failure model for the economic statistical design of X control charts. The study shows that the statistical performance of control charts can be improved significantly, with only a slight increase in the cost, by adding constraints to the optimization problem. The use of an economic statistical design instead of an economic design results in control charts that may be less expensive to implement, that have lower false alarm rates, and that have a higher probability of detecting process shifts. Numerical examples are presented to support this proposition. The results of economic statistical design are compared to those of a pure economic design. The effects of adding constraints for statistical performance measures, such as Type I error rate and the power of the chart, are extensively investigated. (C) 2002 Published by Elsevier Science Ltd.
eu_rights_str_mv openAccess
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identifier_str_mv Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control Times. COMPUTERS INDUSTRIAL ENGINEERING, 43. pp. 645-654.
language_invalid_str_mv en
network_acronym_str KFUPM
network_name_str King Fahd University of Petroleum and Minerals
oai_identifier_str oai::2389
publishDate 2020
publisher.none.fl_str_mv PERGAMON-ELSEVIER SCIENCE LTD
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spelling Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control TimesAl-Oraini, H.A.Rahim, M.A.unknownSystemsIn this paper, Gamma(lambda, 2) distribution is considered as a failure model for the economic statistical design of X control charts. The study shows that the statistical performance of control charts can be improved significantly, with only a slight increase in the cost, by adding constraints to the optimization problem. The use of an economic statistical design instead of an economic design results in control charts that may be less expensive to implement, that have lower false alarm rates, and that have a higher probability of detecting process shifts. Numerical examples are presented to support this proposition. The results of economic statistical design are compared to those of a pure economic design. The effects of adding constraints for statistical performance measures, such as Type I error rate and the power of the chart, are extensively investigated. (C) 2002 Published by Elsevier Science Ltd.PERGAMON-ELSEVIER SCIENCE LTDArticlePeerReviewedinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://eprints.kfupm.edu.sa/id/eprint/2389/1/economic_statistical_design_of__x_over_b_al_oraini_isi_000177243000015.pdf Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control Times. COMPUTERS INDUSTRIAL ENGINEERING, 43. pp. 645-654. enhttps://eprints.kfupm.edu.sa/id/eprint/2389/2020info:eu-repo/semantics/openAccessoai::23892019-11-01T13:43:52Z
spellingShingle Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control Times
Al-Oraini, H.A.
Systems
status_str publishedVersion
title Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control Times
title_full Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control Times
title_fullStr Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control Times
title_full_unstemmed Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control Times
title_short Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control Times
title_sort Economic Statistical Design Of (X)Over-Bar Control Charts For Systems With Gamma(Lambda, 2) In-Control Times
topic Systems
url https://eprints.kfupm.edu.sa/id/eprint/2389/1/economic_statistical_design_of__x_over_b_al_oraini_isi_000177243000015.pdf