Modeling the supplier uncertainty with phase-type distributions in inventory problems

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buir.advisorGürler, Ülkü
dc.contributor.authorBalcıoğlu, Ahmet Barış
dc.date.accessioned2016-01-08T20:13:30Z
dc.date.available2016-01-08T20:13:30Z
dc.date.issued1996
dc.departmentDepartment of Industrial Engineeringen_US
dc.descriptionAnkara : The Department of Industrial Engineering and the Institute of Engineering and Sciences of Bilkent Univ., 1996.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 1996.en_US
dc.descriptionIncludes bibliographical references leaves 109-111.en_US
dc.description.abstractThis study considers a stochastic inventory nnodel where the supply availability is subject to random fluctuations. The periods in which the supplier is available (ON) or unavailable (OFF) are modeled as a semi-Markov process. During ON periods the {q,r) policy is applied. During OFF periods, the amount enough to bring the inventory position to q + r is ordered as soon as the supplier becomes available again. The regenerative cycles are identifled by observing the inventory position and using the renewal reward theorem the average cost per time objective function is derived. In our study, a K-stage Phase-Type distribution for ON periods and a general distribution for OFF periods are assumed. In our study, the problem is theoretically solved for Kstage Phase-Type distributions; additionally numerical computations are made for 2-stage Phase-Type distributions. For large q values the structure of the objective function is investigated.en_US
dc.description.degreeM.S.en_US
dc.description.statementofresponsibilityBalcıoğlu, Ahmet Barışen_US
dc.format.extentxv, 112 leaves, illustrationsen_US
dc.identifier.urihttp://hdl.handle.net/11693/17797
dc.language.isoEnglishen_US
dc.publisherBilkent Universityen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectInventory Modelsen_US
dc.subjectPhase-Type Distributionen_US
dc.subjectSemi-Markov Processesen_US
dc.subjectSupplier Availabilityen_US
dc.subject.lccTS160 .B35 1996en_US
dc.subject.lcshInventory control--Mathematical modelsen_US
dc.subject.lcshMarkov processesen_US
dc.titleModeling the supplier uncertainty with phase-type distributions in inventory problemsen_US
dc.typeThesisen_US

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