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Article: Bayesian single and double variable sampling plans for the Weibull distribution with censoring

TitleBayesian single and double variable sampling plans for the Weibull distribution with censoring
Authors
KeywordsCost benefit analysis
Numerical methods
Quality control
Sampling
Sensitivity analysis
Issue Date2007
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/ejor
Citation
European Journal of Operational Research, 2007, v. 177 n. 2, p. 1062-1073 How to Cite?
AbstractThe sampling inspection problem is one of the main research topics in quality control. In this paper, we employ Bayesian decision theory to study single and double variable sampling plans, for the Weibull distribution, with Type II censoring. A general loss function which includes the sampling cost, the time-consuming cost, the salvage value, and the after-sales cost is proposed to determine the Bayes risk and the corresponding optimal sampling plan. Explicit expressions for the Bayes risks for both single and double sampling plans are derived, respectively. Numerical examples are given to illustrate the effectiveness of the proposed method. Comparisons between single and double sampling plans are made, and sensitivity analysis is performed.
Persistent Identifierhttp://hdl.handle.net/10722/222978
ISSN
2015 Impact Factor: 2.679
2015 SCImago Journal Rankings: 2.595

 

DC FieldValueLanguage
dc.contributor.authorChen, J-
dc.contributor.authorLi, KH-
dc.contributor.authorLam, Y-
dc.date.accessioned2016-02-17T07:58:47Z-
dc.date.available2016-02-17T07:58:47Z-
dc.date.issued2007-
dc.identifier.citationEuropean Journal of Operational Research, 2007, v. 177 n. 2, p. 1062-1073-
dc.identifier.issn0377-2217-
dc.identifier.urihttp://hdl.handle.net/10722/222978-
dc.description.abstractThe sampling inspection problem is one of the main research topics in quality control. In this paper, we employ Bayesian decision theory to study single and double variable sampling plans, for the Weibull distribution, with Type II censoring. A general loss function which includes the sampling cost, the time-consuming cost, the salvage value, and the after-sales cost is proposed to determine the Bayes risk and the corresponding optimal sampling plan. Explicit expressions for the Bayes risks for both single and double sampling plans are derived, respectively. Numerical examples are given to illustrate the effectiveness of the proposed method. Comparisons between single and double sampling plans are made, and sensitivity analysis is performed.-
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.subjectCost benefit analysis-
dc.subjectNumerical methods-
dc.subjectQuality control-
dc.subjectSampling-
dc.subjectSensitivity analysis-
dc.titleBayesian single and double variable sampling plans for the Weibull distribution with censoring-
dc.typeArticle-
dc.identifier.emailLam, Y: lamy@hkucc.hku.hk-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.ejor.2005.11.023-
dc.identifier.scopuseid_2-s2.0-33751042432-
dc.identifier.hkuros126264-
dc.identifier.volume177-
dc.identifier.issue2-
dc.identifier.spage1062-
dc.identifier.epage1073-
dc.publisher.placeNetherlands-

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