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July  2010, 6(3): 587-602. doi: 10.3934/jimo.2010.6.587

Influence of real-time queue capacity on system contents in DiffServ's expedited forwarding per-hop-behavior


Department of Telecommunications and Information Processing, Ghent University, St-Pietersnieuwstraat 41, 9000 Gent, Belgium, Belgium, Belgium, Belgium, Belgium

Received  September 2009 Revised  April 2010 Published  June 2010

This paper studies a single-server non-preemptive priority queue with two traffic classes in order to model Expedited Forwarding Per-Hop Behavior in the Differentiated Services (DiffServ) architecture. Generally, queueing models assume infinite queue capacity but in a DiffServ router the capacity for high priority traffic is typically small to prevent this traffic from monopolizing the output link and hence causing starvation of low-priority traffic. The presented model takes the exact (finite) high-priority queue capacity into account. Analytical formulas for the system content of each class are determined as well as the high-priority packet loss ratio. For each class, service of a packet takes a (different) general independent distribution. The issues this causes are resolved by using spectral decomposition. Numerical examples indicate the considerable impact of the finite capacity on system performance.
Citation: Thomas Demoor, Joris Walraevens, Dieter Fiems, Stijn De Vuyst, Herwig Bruneel. Influence of real-time queue capacity on system contents in DiffServ's expedited forwarding per-hop-behavior. Journal of Industrial & Management Optimization, 2010, 6 (3) : 587-602. doi: 10.3934/jimo.2010.6.587

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