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The Ph-t/Ph-t/infinity queueing system: Part I - the single node

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dc.contributor.authorNelson, B. L.en
dc.contributor.authorTaaffe, Michael R.en
dc.contributor.departmentIndustrial and Systems Engineeringen
dc.date.accessed2014-02-05en
dc.date.accessioned2014-03-05T14:00:23Zen
dc.date.available2014-03-05T14:00:23Zen
dc.date.issued2004en
dc.description.abstractWe develop a numerically exact method for evaluating the time-dependent mean, variance, and higher-order moments of the number of entities in a Ph-t/Ph-t/infinity queueing system. We also develop a numerically exact method for evaluating the distribution function and moments of the virtual sojourn time for any time t; in our setting, the virtual sojourn time is equivalent to the service time for virtual entities arriving to the system at that time t. We include several examples using software that we have developed and have put in downloadable form in the Online Supplement to this paper on the journal's website.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationBarry L. Nelson and Michael R. Taaffe. The Pht/Pht/∞ Queueing System: Part I—The Single Node. INFORMS Journal on Computing 2004 16:3, 266-274. doi: 10.1287/ijoc.1040.0070en
dc.identifier.doihttps://doi.org/10.1287/ijoc.1040.0070en
dc.identifier.issn1091-9856en
dc.identifier.urihttp://hdl.handle.net/10919/25828en
dc.identifier.urlhttp://pubsonline.informs.org/doi/pdf/10.1287/ijoc.1040.0070en
dc.language.isoenen
dc.publisherINFORMSen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectQueuesen
dc.subjectAlgorithmsen
dc.subjectPhase-type distributionen
dc.subjectNonstationary processesen
dc.subjectInfinite serveren
dc.subjectInfinite-server queuesen
dc.subjectTraffic limit-theoremen
dc.subjectArrivalen
dc.subjectRatesen
dc.titleThe Ph-t/Ph-t/infinity queueing system: Part I - the single nodeen
dc.title.serialInforms Journal on Computingen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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