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Zwart, B. and Borst, S. and Mandjes, M.R.H.
(2001)
Exact queueing asymptotics multiple heavy-tailed on-off flows.
In: Proceedings IEEE INFOCOM 2001, 20th Annual Joint Conference of the IEEE Computer and Communications Societies, 22-26 April 2001, Anchorage, AK, USA.
pp. 279-288.
IEEE Computer Society.
ISBN 0-7803-7016-3
Full text available as:
Official URL: http://dx.doi.org/10.1109/INFCOM.2001.916710 AbstractWe consider a fluid queue fed by multiple on-off flows with heavy-tailed (regularly varying) on-periods. Under fairly mild assumptions, we prove that the workload distribution is asymptotically equivalent to that in a reduced system. The reduced system consists of a dominant subset of the flows, with the original service rate subtracted by the mean rate of the other flows. We describe how a dominant set may be determined from a simple knapsack formulation. We exploit a powerful intuitive argument to obtain the exact asymptotics for the reduced system. Combined with the reduced-load equivalence, the results for the reduced system provide an asymptotic characterization of the buffer behavior
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