2002 · 48 citations · 2 references
ComputingComputer ScienceMathematicsComputer NetworksQueuing TheoryStochastic ProcessesCommunication NetworksDelay ModelingNetwork Performance AnalysisNetwork Traffic AnalysisQueueing TheoryTraffic Flow TheoryFractal FeaturesFractional Differential EquationsHeavy-tailed DistributionsHyperbolic DecayNetwork Traffic DynamicsNetwork Traffic EngineeringNetwork Traffic ModelingStochastic Process Analysis
A model is proposed which treats network traffic as a stochastic process with an infinite mean delay. Such a model can be used to explain the appearance of long-range dependence and a fractal-like feature of network data flow. The heavy-tailed delay distributions, the hyperbolic decay of the packet delay auto-covariance function and fractional differential equations are shown to be formally related. The new interpretation of fractional calculus opens up a new area for using this well-developed mathematical tool to understand the local and global characteristics of the packet traffic behaviour.
2
On the self-similar nature of Ethernet traffic
W.E. Leland, Murad S. Taqqu, Walter Willinger et al. · 1993 · 1.1K citations