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dc.contributor.advisorAnisimov, Vladimir V.
dc.contributor.authorKurtuluş, Mümin
dc.date.accessioned2016-01-08T20:17:38Z
dc.date.available2016-01-08T20:17:38Z
dc.date.issued2000
dc.identifier.urihttp://hdl.handle.net/11693/18247
dc.descriptionAnkara : Department of Industrial Engineering and the Institute of Engineering and Sciences of Bilkent Univ., 2000.en_US
dc.descriptionThesis (Master's) -- Bilkent University, 2000.en_US
dc.descriptionIncludes bibliographical references leaves 66-71en_US
dc.description.abstractThe thesis is concerned with the asymptotic analysis of the time of first loss of a customer and the flow of lost customers in some types of Markov retrial queueing systems with flnite buffer. A retrial queueing system is characterized by the following feature: an arriving customer finding all of the servers busy must leave the service area and join a special buffer. After this it may re-apply for service after some random time. If the buffer is full the customer is lost. The analysis of the time of first loss of a customer is based on the method of so-called S — sets and the results about the asymptotic behavior of the first exit time from the fixed subset of states of semi-Markov process of a special structure (so-called monotone structure). Single server retrial queueing systems [M IM IlIm with retrials) as well as multiple server retrial queueing systems {M IM fsfm with retrials) are analyzed in cases of fast service and both fast service and fast retrials. Exponential approximation for the time of first loss and Poisson approximation for the flow of lost customers are proved for all of the considered cases.en_US
dc.description.statementofresponsibilityKurtuluş, Müminen_US
dc.format.extent72 leavesen_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectRetrial queueing systemsen_US
dc.subjectasymptotic analysisen_US
dc.subjects-seten_US
dc.subjectrare eventsen_US
dc.subject.lccT57.9 .K87 2000en_US
dc.subject.lcshQueuing theory.en_US
dc.subject.lcshMarkov processes.en_US
dc.subject.lcshStochastic processes.en_US
dc.titleAsymptotic analysis of highly reliable retrial queueing systemsen_US
dc.typeThesisen_US
dc.departmentDepartment of Industrial Engineeringen_US
dc.publisherBilkent Universityen_US
dc.description.degreeM.S.en_US


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