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dc.contributorVirginia Techen_US
dc.contributor.authorNasr, W. W.en_US
dc.contributor.authorTaaffe, M. R.en_US
dc.date.accessioned2014-03-05T14:00:22Z
dc.date.available2014-03-05T14:00:22Z
dc.date.issued2013
dc.identifier.citationWalid W. Nasr and Michael R. Taaffe. Fitting the Pht/Mt/s/c Time-Dependent Departure Process for Use in Tandem Queueing Networks. INFORMS Journal on Computing 2013 25:4, 758-773. doi: 10.1287/ijoc.1120.0538
dc.identifier.issn1091-9856
dc.identifier.urihttp://hdl.handle.net/10919/25827
dc.description.abstractThis paper considers time-dependent Ph-t/M-t/s/c queueing nodes and small tandem networks of such nodes. We examine characteristics of the departure processes from a multiserver queueing node; in particular, we focus on solving for the first two time-dependent moments of the departure-count process. A finite set of partial moment differential equations is developed to numerically solve for the departure-count moments over specified intervals of time [t(i), t(i) + tau(i)). We also present a distribution fitting algorithm to match these key characteristics with a (Ph-t) over tilde process serving as the approximate departure process. A distribution fitting algorithm is presented for time-dependent point processes where a two-level balanced mixture of Erlang distribution is used to serve as the approximating process. We then use the (Ph-t) over tilde approximating departure process as the approximate composite arrival process to downstream node(s) in a network of tandem queues.
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_US
dc.publisherINFORMS
dc.subjectQueuesen_US
dc.subjectQueueingen_US
dc.subjectTandem queuesen_US
dc.subjectAlgorithmsen_US
dc.subjectPhase-type distributionen_US
dc.subjectNonstationary processesen_US
dc.subjectQueueing networksen_US
dc.subjectTime dependenten_US
dc.subjectTransienten_US
dc.subjectMixture of erlangsen_US
dc.subjectCount processen_US
dc.subjectMoment matchingen_US
dc.subjectArrival processesen_US
dc.subjectVarying demanden_US
dc.subjectServiceen_US
dc.subjectSystemsen_US
dc.titleFitting the Ph-t/M-t/s/c Time-Dependent Departure Process for Use in Tandem Queueing Networksen_US
dc.typeArticleen_US
dc.identifier.urlhttp://pubsonline.informs.org/doi/pdf/10.1287/ijoc.1120.0538
dc.date.accessed2014-02-05
dc.title.serialInforms Journal on Computing
dc.identifier.doihttps://doi.org/10.1287/ijoc.1120.0538
dc.type.dcmitypeTexten_US


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