Markov modulated periodic arrival process offered to an ATM multiplexer

dc.citation.epage190en_US
dc.citation.issueNumber2en_US
dc.citation.spage175en_US
dc.citation.volumeNumber22en_US
dc.contributor.authorAkar, N.en_US
dc.contributor.authorArıkan, E.en_US
dc.date.accessioned2016-02-08T10:52:11Z
dc.date.available2016-02-08T10:52:11Z
dc.date.issued1995-04en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractWhen a superposition of on/off sources is offered to a deterministic server, we are faced with a particular queueing system, the analysis of which has a significant role in ATM networks. Periodic cell generation during active times is a major feature of these sources. We provide an analytical approach to solve for this queueing system via an approximation to the transient behavior of the nD/D/1 queue. The solution to the queue length distribution is given in terms of a solution to a linear differential equation with variable coefficients. The technique proposed here has close similarities with the fluid flow approximation and is amenable to extension for more complicated queueing systems with such correlated arrival processes. A numerical example for a packetized voice multiplexer is finally given to demonstrate our results.en_US
dc.identifier.doi10.1016/0166-5316(93)E0058-Den_US
dc.identifier.eissn1872-745X
dc.identifier.issn0166-5316
dc.identifier.urihttp://hdl.handle.net/11693/25906
dc.language.isoEnglishen_US
dc.publisherElsevier BV * North-Hollanden_US
dc.relation.isversionofhttps://doi.org/10.1016/0166-5316(93)E0058-Den_US
dc.source.titlePerformance Evaluationen_US
dc.subjectATM networksen_US
dc.subjectFluid-flow modelsen_US
dc.subjectnD/D/1 queueen_US
dc.subjectApproximation theoryen_US
dc.subjectAsynchronous transfer modeen_US
dc.subjectBroadband networksen_US
dc.subjectCorrelation theoryen_US
dc.subjectDifferential equationsen_US
dc.subjectMarkov processesen_US
dc.subjectMultiplexing equipmenten_US
dc.subjectNumerical methodsen_US
dc.subjectPacket switchingen_US
dc.subjectVoice/data communication systemsen_US
dc.subjectLinear equationen_US
dc.subjectMarkov modulated periodic arrival processen_US
dc.subjectPacketized voice multiplexeren_US
dc.subjectQueueing theoryen_US
dc.titleMarkov modulated periodic arrival process offered to an ATM multiplexeren_US
dc.typeArticleen_US
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