Abstract
We 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.
Original language | English |
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Title of host publication | Proceedings INFOCOM 2001 (Anchorage AK, USA, April 22-26, 2001) |
Editors | R. Cruz, G. Pacifici, B. Sengupta |
Publisher | Institute of Electrical and Electronics Engineers |
Pages | 279-288 |
Number of pages | 10 |
ISBN (Print) | 0-7803-7016-3 |
DOIs | |
Publication status | Published - 2001 |