Joint queue length distribution of multi-class, single-server queues with preemptive priorities

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Abstract

In this paper we analyze an MN/MN/1 queueing system with N customer classes and preemptive priorities between classes, by using matrix-analytic techniques. This leads to an exact method for the computation of the steady state joint queue length distribution. We also indicate how the method can be extended to models with multiple servers and other priority rules.
Original languageEnglish
Place of PublicationEindhoven
PublisherEurandom
Number of pages22
Publication statusPublished - 2004

Publication series

NameReport Eurandom
Volume2004045
ISSN (Print)1389-2355

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