Modeling of flows with the power-law spectral densities and power-law distributions of flow's intensities

Details Modeling of flows with the power-law spectral densities and power-law distributions of flow's intensities Modeling of flows with the power-law spectral densities and power-law distributions of flow's intensities

2005-12-08

arxiv.org/abs/physics/0512068v1

Traffic and Granular Flow ' 05 : pp.603-611 (2007) Springer-Verlag, Berlin, Editors: A. Schadschneider, T. Poschel, R. Kuhne,

Physics

Physics and Society

9 pages, 6 figures, Presented at Conference on Traffic and Granular Flow 2005, Berlin

Scientific paper

We present analytical and numerical results of modeling of flows represented as the correlated non-Poissonian point process and as the Poissonian sequence of pulses of the different size. Both models may generate signals with the power-law distributions of the intensity of the flow and the power-law spectral density. Furthermore, different distributions of the interevent time of the point process and different statistics of the size of pulses may result in $1/f^{\beta}$ noise (one-over-f noise, 1-f noise) with $0.5\lesssim\beta\lesssim2$. Combination of the models is applied for modeling of the Internet traffic.

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