File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: A two-stage decision procedure for monitoring processes with low fraction nonconforming

TitleA two-stage decision procedure for monitoring processes with low fraction nonconforming
Authors
KeywordsEconomics
Mathematical models
Probability
Process control
Quality control
Issue Date2003
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/ejor
Citation
European Journal of Operational Research, 2003, v. 150 n. 2, p. 420-436 How to Cite?
AbstractDecision procedures for monitoring industrial processes can be based on application of control charts. The commonly used p-chart and np-chart are unsatisfactory for monitoring high-quality processes with a low fraction nonconforming. To overcome this difficulty, one may develop models based on the number of items inspected until r (⩾1) nonconforming items are observed. The cumulative count control chart (CCC-chart) is such an example. Like many other control charts, the CCC-charts suggested in the literature are one-stage control charts in which a decision is made when a signal for out of control appears. A CCC-chart with a small value of r requires less items inspected in order to obtain a signal for out of control, but is less reliable in detecting shifts of p than a CCC-chart with a large value of r (because the standard deviation of the number of items inspected in order to observe the rth nonconforming item, when divided by the mean, is proportional to Full-size image (<1 K)). In the present paper, inspired by the idea of double sampling procedures in acceptance sampling, a two-stage CCC-chart is proposed in order to improve the performance of the one-stage CCC-chart. Analytic expressions for the average number inspected (ANI) of this two-stage CCC-chart is obtained, which is important for further studies of the chart. As an application of this result, an economic model is used to calculate the optimal values of probabilities of false alarm set at the first and second stages of the two-stage CCC-chart so that an expected total cost can be minimized.
Persistent Identifierhttp://hdl.handle.net/10722/74456
ISSN
2015 Impact Factor: 2.679
2015 SCImago Journal Rankings: 2.595

 

DC FieldValueLanguage
dc.contributor.authorChan, LY-
dc.contributor.authorLai, CD-
dc.contributor.authorXie, M-
dc.contributor.authorGoh, TN-
dc.date.accessioned2010-09-06T07:01:30Z-
dc.date.available2010-09-06T07:01:30Z-
dc.date.issued2003-
dc.identifier.citationEuropean Journal of Operational Research, 2003, v. 150 n. 2, p. 420-436-
dc.identifier.issn0377-2217-
dc.identifier.urihttp://hdl.handle.net/10722/74456-
dc.description.abstractDecision procedures for monitoring industrial processes can be based on application of control charts. The commonly used p-chart and np-chart are unsatisfactory for monitoring high-quality processes with a low fraction nonconforming. To overcome this difficulty, one may develop models based on the number of items inspected until r (⩾1) nonconforming items are observed. The cumulative count control chart (CCC-chart) is such an example. Like many other control charts, the CCC-charts suggested in the literature are one-stage control charts in which a decision is made when a signal for out of control appears. A CCC-chart with a small value of r requires less items inspected in order to obtain a signal for out of control, but is less reliable in detecting shifts of p than a CCC-chart with a large value of r (because the standard deviation of the number of items inspected in order to observe the rth nonconforming item, when divided by the mean, is proportional to Full-size image (<1 K)). In the present paper, inspired by the idea of double sampling procedures in acceptance sampling, a two-stage CCC-chart is proposed in order to improve the performance of the one-stage CCC-chart. Analytic expressions for the average number inspected (ANI) of this two-stage CCC-chart is obtained, which is important for further studies of the chart. As an application of this result, an economic model is used to calculate the optimal values of probabilities of false alarm set at the first and second stages of the two-stage CCC-chart so that an expected total cost can be minimized.-
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/ejor-
dc.relation.ispartofEuropean Journal of Operational Research-
dc.rights© <year>. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/-
dc.subjectEconomics-
dc.subjectMathematical models-
dc.subjectProbability-
dc.subjectProcess control-
dc.subjectQuality control-
dc.titleA two-stage decision procedure for monitoring processes with low fraction nonconforming-
dc.typeArticle-
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0377-2217&volume=150&spage=420&epage=436&date=2003&atitle=A+two-stage+decision+procedure+for+monitoring+processes+with+low+nonconforming+fractionen_HK
dc.identifier.emailChan, LY: plychan@hku.hk-
dc.identifier.authorityChan, LY=rp00093-
dc.identifier.doi10.1016/S0377-2217(02)00507-6-
dc.identifier.scopuseid_2-s2.0-0038141831-
dc.identifier.hkuros81967-
dc.identifier.volume150-
dc.identifier.issue2-
dc.identifier.spage420-
dc.identifier.epage436-
dc.publisher.placeNetherlands-

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats