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Proceedings Paper

Impact of aggregated self-similar on/off traffic on delay in stationary queueing models
Author(s): Hans Peter Schwefel; Lester Lipsky
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Paper Abstract

The impact of the now widely acknowledged self-similar property of network traffic on cell delay in a single server queuing model is investigated. The analytic traffic model, called N-Burst, uses the superposition of N independent cell streams of ON/OFF type with Power-Tail distributed ON periods. Delay for such arrival processes is mainly caused by over-saturation periods, which occur when too many sources are in their ON-state. The duration of these over- saturation periods is shown to have a Power-Tail distribution, whose exponent (beta) is in most scenarios different from the tail exponent of the individual ON- period. Conditions on the model parameters, for which the mean and higher moments of the delay distribution become infinite, are investigated. Since these conditions depend on traffic parameters as well as on network parameters, careful network design can alleviate the performance impact of such self-similar traffic. Furthermore, in real networks, a Maximum Burst Size (MBS) leads to truncated tails. An asymptotic relationship between the delay moments and the MBS is derived and is validated by the exact numerical results of the analytic queuing model.

Paper Details

Date Published: 18 August 1999
PDF: 12 pages
Proc. SPIE 3841, Performance and Control of Network Systems III, (18 August 1999); doi: 10.1117/12.360370
Show Author Affiliations
Hans Peter Schwefel, Technische Univ. Muenchen (Germany)
Lester Lipsky, Univ. of Connecticut (United States)

Published in SPIE Proceedings Vol. 3841:
Performance and Control of Network Systems III
Robert D. van der Mei; Daniel P. Heyman, Editor(s)

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