Two coupled Lévy queues with independent input

O.J. Boxma, J. Ivanovs

Research output: Book/ReportReportAcademic

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Abstract

We consider a pair of coupled queues driven by independent spectrally-positive Lévy processes. With respect to the bi-variate workload process this framework includes both the coupled processor model and the two-server fluid network with independent Lévy inputs. We identify the joint transform of the stationary workload distribution in terms of Wiener-Hopf factors corresponding to two auxiliary Lévy processes with explicit Laplace exponents. We reinterpret and extend the ideas of Cohen and Boxma (1983) to provide a general and uniform result with a neat transform expression.
Original languageEnglish
Place of PublicationEindhoven
PublisherEurandom
Number of pages17
Publication statusPublished - 2013

Publication series

NameReport Eurandom
Volume2013017
ISSN (Print)1389-2355

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