The workload-dependent MAP/PH/1 queue with infinite/finite workload capacity

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dc.citation.epage1058en_US
dc.citation.issueNumber12en_US
dc.citation.spage1047en_US
dc.citation.volumeNumber70en_US
dc.contributor.authorYazici, M. A.en_US
dc.contributor.authorAkar, N.en_US
dc.date.accessioned2016-02-08T09:33:52Z
dc.date.available2016-02-08T09:33:52Z
dc.date.issued2013en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWe propose a numerical algorithm for finding the steady-state queue occupancy distribution for a workload-dependent MAP/PH/1 queue in which the arrival process and the service rate depend continuously on the instantaneous workload in the system. Both infinite and finite queue capacity scenarios are considered, including partial rejection and complete rejection policies for the latter. Using discretization, this system is approximately described by a multi-regime Markov fluid queue for which numerical algorithms are available. The computational complexity of the proposed method is linear in the number of regimes used for discretization. We provide numerical examples to validate the proposed approach.en_US
dc.identifier.doi10.1016/j.peva.2013.09.002en_US
dc.identifier.issn0166-5316
dc.identifier.urihttp://hdl.handle.net/11693/20720
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.peva.2013.09.002en_US
dc.source.titlePerformance Evaluationen_US
dc.subjectBlock-LU factorizationen_US
dc.subjectMarkov fluid queuesen_US
dc.subjectMarkovian arrival processen_US
dc.subjectPhase-type distributionen_US
dc.subjectWorkload-dependent queuesen_US
dc.subjectArrival processen_US
dc.subjectDiscretizationsen_US
dc.subjectMarkov fluid queuesen_US
dc.subjectMarkovian arrival processen_US
dc.subjectNumerical algorithmsen_US
dc.subjectPhase type distributionsen_US
dc.subjectService ratesen_US
dc.subjectWorkload-dependent queuesen_US
dc.subjectAlgorithmsen_US
dc.subjectMarkov processesen_US
dc.subjectQueueing theoryen_US
dc.titleThe workload-dependent MAP/PH/1 queue with infinite/finite workload capacityen_US
dc.typeArticleen_US

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