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dc.contributor.authorBalcıoǧlu, B.en_US
dc.contributor.authorGürler, Ü.en_US
dc.date.accessioned2016-02-08T09:50:29Z
dc.date.available2016-02-08T09:50:29Z
dc.date.issued2011en_US
dc.identifier.issn1524-1904
dc.identifier.urihttp://hdl.handle.net/11693/21734
dc.description.abstractMaintaining the continuity of operations becomes increasingly important for systems that are subject to disruptions due to various reasons. In this paper, we study an inventory system operating under a (q, r) policy, where the supply can become inaccessible for random durations. The availability of the supply is modeled by assuming a single supplier that goes through ON and OFF periods of stochastic duration, both of which are modeled by phase-type distributions (PTD). We provide two alternative representations of the state transition probabilities of the system, one with integral and the other employing Kolmogorov differential equations. We then use an efficient formulation for the analytical model that gives the optimal policy parameters and the long-run average cost. An extensive numerical study is conducted, which shows that OFF time characteristics have a bigger impact on optimal policy parameters. The ON time characteristics are also important for critical goods if disasters can happen.en_US
dc.language.isoEnglishen_US
dc.source.titleApplied Stochastic Models in Business and Industryen_US
dc.relation.isversionofhttp://dx.doi.org/10.1002/asmb.879en_US
dc.subjectPhase-type distributionsen_US
dc.subjectStochastic inventoryen_US
dc.subjectSupply disruptionsen_US
dc.titleOn the use of phase-type distributions for inventory management with supply disruptionsen_US
dc.typeArticleen_US
dc.departmentDepartment of Industrial Engineering
dc.citation.spage660en_US
dc.citation.epage675en_US
dc.citation.volumeNumber27en_US
dc.citation.issueNumber6en_US
dc.identifier.doi10.1002/asmb.879en_US
dc.publisherJohn Wiley & Sonsen_US
dc.identifier.eissn1526-4025


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