Journal of Applied Mathematics and Stochastic Analysis
Volume 11 (1998), Issue 3, Pages 339-354
Analysis of a multi-server queueing model of ABR
CWI, P.O. Box 94079, Amsterdam 1090 GB, The Netherlands
Received 1 October 1997; Revised 1 May 1998
Copyright © 1998 R. Núñez-Queija and O. J. Boxma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.