Analysis of a multi-server queueing model of ABR

R. Núñez Queija, O.J. Boxma

Research output: Contribution to journalArticleAcademicpeer-review

11 Citations (Scopus)
79 Downloads (Pure)


In this paper we present a queueing model for the performance analysis of Available Bit Rate (ABR) traffic in Asynchronous Transfer Mode (ATM) networks. We consider a multi-channel service station with two types of customers, denoted by high priority and low priority customers. In principle, high priority customers have preemptive priority over low priority customers, except on a fixed number of channels that are reserved for low priority traffic. The arrivals occur according to two independent Poisson processes, and service times are assumed to be exponentially distributed. Each high priority customer requires a single server, whereas low priority customers are served in processor sharing fashion. We derive the joint distribution of the numbers of customers (of both types) in the system in steady state. Numerical results illustrate the effect of high priority traffic on the service performance of low priority traffic.
Original languageEnglish
Pages (from-to)339-354
JournalJournal of Applied Mathematics and Stochastic Analysis
Issue number3
Publication statusPublished - 1998


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