Publication:
Asymptotic variance rate of the output in production lines with finite buffers

dc.contributor.departmentDepartment of Business Administration
dc.contributor.kuauthorTan, Barış
dc.contributor.kuprofileFaculty Member
dc.contributor.otherDepartment of Business Administration
dc.contributor.schoolcollegeinstituteCollege of Administrative Sciences and Economics
dc.contributor.yokid28600
dc.date.accessioned2024-11-09T23:20:57Z
dc.date.issued2000
dc.description.abstractProduction systems that can be modeled as discrete time Markov chains are considered. A state-space-based method is developed to determine the variance of the number of parts produced per unit time in the long run. This quantity is also referred to as the asymptotic variance rate. The block tridiagonal structure of the probability matrix of a general two-station production line with a finite buffer is exploited and a recursive method based on matrix geometric solution is used to determine the asymptotic variance rate of the output. This new method is computationally very efficient and yields a thousand-fold improvement in the number of operations over the existing methods. Numerical experiments that examine the effects of system parameters on the variability of the performance of a production line are presented. The computational efficiency of the method is also investigated. Application of this method to longer lines is discussed and exact results for a three-station production line with finite interstation buffers are presented. A thorough review of the pertinent literature is also given.
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.openaccessNO
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.volume93
dc.identifier.doi10.1023/A:1018992327521
dc.identifier.issn0254-5330
dc.identifier.quartileQ2
dc.identifier.scopus2-s2.0-0034397419
dc.identifier.urihttp://dx.doi.org/10.1023/A:1018992327521
dc.identifier.urihttps://hdl.handle.net/20.500.14288/10808
dc.identifier.wos86784400017
dc.keywordsTime-dependent failures
dc.keywordsSerial production lines
dc.keywordsProduction systems
dc.keywordsPerformance
dc.keywordsMachines
dc.keywordsModel
dc.languageEnglish
dc.publisherBaltzer Sci Publ Bv
dc.sourceAnnals of Operations Research
dc.subjectManagement
dc.subjectOperations research
dc.subjectManagement science
dc.titleAsymptotic variance rate of the output in production lines with finite buffers
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0002-2584-1020
local.contributor.kuauthorTan, Barış
relation.isOrgUnitOfPublicationca286af4-45fd-463c-a264-5b47d5caf520
relation.isOrgUnitOfPublication.latestForDiscoveryca286af4-45fd-463c-a264-5b47d5caf520

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