Understanding IP traffic via cluster processes

Authors:
Ian W. C. Lee;Abraham O. Fapojuwo
Affiliations:
Department of Electrical and Computer Engineering, University of Calgary, Calgary, AB, Canada;Department of Electrical and Computer Engineering, University of Calgary, Calgary, AB, Canada
Venue:
ITC20'07 Proceedings of the 20th international teletraffic conference on Managing traffic performance in converged networks
Year:
2007

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Abstract

In this paper we investigate the characteristics of network traffic via the cluster point process framework. It is found that the exact distributional properties of the arrival process within a flow is not very relevant at large time scales or low frequencies. We also show that heavy-tailed flow duration does not automatically imply long-range dependence at the IP layer. Rather, the number of packets per flow has to be heavy-tailed with infinite variance to give rise to long-range dependent IP traffic. Even then, long-range dependence is not guaranteed if the interarrival times within a flow are much smaller than the interarrival times of flows. In this scenario, the resulting traffic behaves like a short-range dependent heavy-tailed process. We also found that long-range dependent interflow times do not contribute to the spectrum of IP traffic at low frequencies.