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Impact of the Correlation between Flow Rates and Durations on the Large-Scale Properties of Aggregate Network Traffic

Patrick Loiseau 1 Paulo Gonçalves 1 Pascale Vicat-Blanc Primet 1
1 RESO - Protocols and softwares for very high-performance network
Inria Grenoble - Rhône-Alpes, LIP - Laboratoire de l'Informatique du Parallélisme
Abstract : Since the discovery of long-range dependence in network traffic in 1993, many models have appeared to reproduce this property, based on heavy-tailed distributions of some flow-scale properties of the traffic. However, none of these models consider the correlation existing between flow rates and flow durations. In this work, we extend previously proposed models to include this correlation. Based on a planar Poisson process setting, which describes the flow-scale traffic structure, we analytically compute the auto-covariance function of the aggregate traffic's bandwidth and show that it exhibits long-range dependence with a different Hurst parameter. In uncorrelated case, the model that we propose is consistent with existing models, and predict the same Hurst parameter. We also prove that pseudo long-range dependence with a different index can arise from highly variable flow rates. The pertinence of our model choices is validated on real web traffic traces.
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https://hal.inria.fr/inria-00433170
Contributor : Patrick Loiseau <>
Submitted on : Friday, December 18, 2009 - 7:00:05 AM
Last modification on : Friday, June 25, 2021 - 3:40:05 PM
Long-term archiving on: : Tuesday, October 16, 2012 - 2:25:15 PM

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Patrick Loiseau, Paulo Gonçalves, Pascale Vicat-Blanc Primet. Impact of the Correlation between Flow Rates and Durations on the Large-Scale Properties of Aggregate Network Traffic. [Research Report] RR-7100, INRIA. 2009. ⟨inria-00433170⟩

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