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Article: A two-stage cumulative quantity control chart for monitoring poisson processes

TitleA two-stage cumulative quantity control chart for monitoring poisson processes
Authors
KeywordsAverage quantity inspected
Average run length
CQC chart
Economic design
Gamma random variable
Statistical process control
Two-stage control chart
Issue Date2007
PublisherAmerican Society for Quality. The Journal's web site is located at http://www.asq.org/pub/jqt/
Citation
Journal Of Quality Technology, 2007, v. 39 n. 3, p. 203-223 How to Cite?
Abstract
This paper is concerned with the cumulative quantity control chart (CQC chart) defined based on the gamma random variable that is the quantity of product inspected in order to observe r (= 1) nonconformities. A CQC chart with a small value of r has a smaller average run length (ARL), but has lower discriminating power for detecting shifts in the nonconforming rate ? than a CQC chart with a large r. In the present paper, inspired by the concepts of double sampling procedures in acceptance sampling as well as reduced inspection in MIL-STD-105E and the procedures for CSP plans in MIL-STD-1235C, a two-stage CQC chart is proposed aiming at gaining both the advantages of the 1-stage CQC charts with r = 1 and r = 2. The authors apply a rigorous analytic approach to perform sensitivity analysis to compare the discriminating power of CQC charts in detecting change in ?, rather than using the less rigorous approach of numerical verification based on an ac hoc choice of values of parameters. The authors also obtain and compare the analytic expressions for the ARLs of these CQC charts. Economic analysis of the CQC charts is performed. Numerical examples will be given to compare the performance of these control charts in terms of discriminating power (in detecting shift of ?), ARL, and average total cost, and to show that each of these charts could be the best choice in each specific situation. It is also shown that, when the penalty cost due to nonconformities is relatively low, it is optimal not to apply statistical process control at all. [From EbscoHost]
Persistent Identifierhttp://hdl.handle.net/10722/74574
ISSN
2013 Impact Factor: 1.271
2013 SCImago Journal Rankings: 1.743
References

 

Author Affiliations
  1. The University of Hong Kong
DC FieldValueLanguage
dc.contributor.authorChan, LYen_HK
dc.contributor.authorOuyang, Jen_HK
dc.contributor.authorLau, HYKen_HK
dc.date.accessioned2010-09-06T07:02:40Z-
dc.date.available2010-09-06T07:02:40Z-
dc.date.issued2007en_HK
dc.identifier.citationJournal Of Quality Technology, 2007, v. 39 n. 3, p. 203-223en_HK
dc.identifier.issn0022-4065en_HK
dc.identifier.urihttp://hdl.handle.net/10722/74574-
dc.description.abstractThis paper is concerned with the cumulative quantity control chart (CQC chart) defined based on the gamma random variable that is the quantity of product inspected in order to observe r (= 1) nonconformities. A CQC chart with a small value of r has a smaller average run length (ARL), but has lower discriminating power for detecting shifts in the nonconforming rate ? than a CQC chart with a large r. In the present paper, inspired by the concepts of double sampling procedures in acceptance sampling as well as reduced inspection in MIL-STD-105E and the procedures for CSP plans in MIL-STD-1235C, a two-stage CQC chart is proposed aiming at gaining both the advantages of the 1-stage CQC charts with r = 1 and r = 2. The authors apply a rigorous analytic approach to perform sensitivity analysis to compare the discriminating power of CQC charts in detecting change in ?, rather than using the less rigorous approach of numerical verification based on an ac hoc choice of values of parameters. The authors also obtain and compare the analytic expressions for the ARLs of these CQC charts. Economic analysis of the CQC charts is performed. Numerical examples will be given to compare the performance of these control charts in terms of discriminating power (in detecting shift of ?), ARL, and average total cost, and to show that each of these charts could be the best choice in each specific situation. It is also shown that, when the penalty cost due to nonconformities is relatively low, it is optimal not to apply statistical process control at all. [From EbscoHost]-
dc.description.abstract[This abstract is based on the authors' abstract.] The cumulative quantity control chart (CQC) is an effective alternative to traditional control charts for high yield processes with low nonconforming rates. Inspired by the concepts of double sampling procedures in acceptance sampling and reduced inspection, a two-stage CQC chart is proposed to gain both the advantages of the one-stage CQC charts with r=1 and r=2. An analytical approach is used to perform sensitivity analysis to compare the discriminating power of CQC charts. In addition, the analytic expressions for the average run length of these CQC charts are obtained and compared. Numerical examples show that each of these charts could be the best choice in a specific situation, and when the penalty cost due to nonconformities is relatively low, it is optimal not to apply statistical process control at all.-
dc.languageengen_HK
dc.publisherAmerican Society for Quality. The Journal's web site is located at http://www.asq.org/pub/jqt/en_HK
dc.relation.ispartofJournal of Quality Technologyen_HK
dc.subjectAverage quantity inspecteden_HK
dc.subjectAverage run lengthen_HK
dc.subjectCQC charten_HK
dc.subjectEconomic designen_HK
dc.subjectGamma random variableen_HK
dc.subjectStatistical process controlen_HK
dc.subjectTwo-stage control charten_HK
dc.titleA two-stage cumulative quantity control chart for monitoring poisson processesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0022-4065&volume=39&issue=3&spage=203 – 223&epage=&date=2008&atitle=A+Two-stage+cumulative+quantity+control+chart+for+monitoring+poisson+processesen_HK
dc.identifier.emailChan, LY: plychan@hku.hken_HK
dc.identifier.emailLau, HYK: hyklau@hkucc.hku.hken_HK
dc.identifier.authorityChan, LY=rp00093en_HK
dc.identifier.authorityLau, HYK=rp00137en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-34547313588en_HK
dc.identifier.hkuros160510en_HK
dc.identifier.hkuros122881-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34547313588&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume39en_HK
dc.identifier.issue3en_HK
dc.identifier.spage203en_HK
dc.identifier.epage223en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChan, LY=7403540482en_HK
dc.identifier.scopusauthoridOuyang, J=17435395600en_HK
dc.identifier.scopusauthoridLau, HYK=7201497761en_HK
dc.customcontrol.immutablecsl 140812-

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