Economic design of two-stage (X)over-bar charts: the Markov chain approach

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dc.contributor.authorCosta, AFB
dc.contributor.authorDe Magalhaes, M. S.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionIBGE
dc.date.accessioned2014-05-20T15:26:20Z
dc.date.available2014-05-20T15:26:20Z
dc.date.issued2005-01-28
dc.description.abstractWhen the (X) over bar chart is in use, samples are regularly taken from the process, and their means are plotted on the chart. In some cases, it is too expensive to obtain the X values, but not the values of a correlated variable Y. This paper presents a model for the economic design of a two-stage control chart, that is. a control chart based on both performance (X) and surrogate (Y) variables. The process is monitored by the surrogate variable until it signals an out-of-control behavior, and then a switch is made to the (X) over bar chart. The (X) over bar chart is built with central, warning. and action regions. If an X sample mean falls in the central region, the process surveillance returns to the (Y) over bar chart. Otherwise. The process remains under the (X) over bar chart's surveillance until an (X) over bar sample mean falls outside the control limits. The search for an assignable cause is undertaken when the performance variable signals an out-of-control behavior. In this way, the two variables, are used in an alternating fashion. The assumption of an exponential distribution to describe the length of time the process remains in control allows the application of the Markov chain approach for developing the cost function. A study is performed to examine the economic advantages of using performance and surrogate variables. (C) 2003 Elsevier B.V. All rights reserved.en
dc.description.affiliationUNESP, FEG, Dept Prod, BR-12516410 Guaratingueta, SP, Brazil
dc.description.affiliationIBGE, ENCE, BR-20231050 Rio de Janeiro, Brazil
dc.description.affiliationUnespUNESP, FEG, Dept Prod, BR-12516410 Guaratingueta, SP, Brazil
dc.format.extent9-20
dc.identifierhttp://dx.doi.org/10.1016/j.ijpe.2003.10.024
dc.identifier.citationInternational Journal of Production Economics. Amsterdam: Elsevier B.V., v. 95, n. 1, p. 9-20, 2005.
dc.identifier.doi10.1016/j.ijpe.2003.10.024
dc.identifier.issn0925-5273
dc.identifier.lattes6100382011052492
dc.identifier.urihttp://hdl.handle.net/11449/36508
dc.identifier.wosWOS:000226228500002
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofInternational Journal of Production Economics
dc.relation.ispartofjcr4.407
dc.relation.ispartofsjr2,401
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjecteconomic designpt
dc.subjecttwo-stage control chartpt
dc.subjectperformance variablept
dc.subjectsurrogate variablept
dc.titleEconomic design of two-stage (X)over-bar charts: the Markov chain approachen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.author.lattes6100382011052492
unesp.campusUniversidade Estadual Paulista (Unesp), Faculdade de Engenharia, Guaratinguetápt

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