Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/62346
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dc.contributor.authorBean, N.-
dc.contributor.authorNielsen, B.-
dc.date.issued2010-
dc.identifier.citationStochastic Models, 2010; 26(3):309-334-
dc.identifier.issn1532-6349-
dc.identifier.issn1532-4214-
dc.identifier.urihttp://hdl.handle.net/2440/62346-
dc.description.abstractThis paper introduces the concept of a Quasi-Birth-and-Death process (QBD) with Rational Arrival Process (RAP) components. We use the physical interpretation of the prediction process of the RAP, developed by Asmussen and Bladt, and develop an analysis that parallels the analysis of a traditional QBD. Further, we present an algorithm for the numerical evaluation of the matrix G. As an example, we consider two queues where the arrival process and the sequence of service times are taken from two dependent RAPs, that are not Markovian Arrival Processes.-
dc.description.statementofresponsibilityN. G. Bean and B. F. Nielsen-
dc.language.isoen-
dc.publisherTaylor & Francis Inc.-
dc.rightsCopyright © Taylor & Francis Group, LLC-
dc.source.urihttp://dx.doi.org/10.1080/15326349.2010.498311-
dc.subjectMarkovian arrival process-
dc.subjectMatrix–exponential distribution-
dc.subjectPhase-type distribution-
dc.subjectQuasi-birth-and-death process-
dc.subjectRational arrival process.-
dc.titleQuasi-birth-and-death processes with rational arrival process components-
dc.typeJournal article-
dc.identifier.doi10.1080/15326349.2010.498311-
dc.relation.granthttp://purl.org/au-research/grants/arc/DP0770388-
pubs.publication-statusPublished-
dc.identifier.orcidBean, N. [0000-0002-5351-3104]-
Appears in Collections:Aurora harvest
Environment Institute publications
Mathematical Sciences publications

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