dorsal/arxiv
View SchemaModeling of flows with the power-law spectral densities and power-law distributions of flow's intensities
| Authors | Bronislovas Kaulakys, Miglius Alaburda, Vygintas Gontis, Tadas Meskauskas, Julius Ruseckas |
|---|---|
| Categories | |
| ArXiv ID | physics/0512068 |
| URL | https://arxiv.org/abs/physics/0512068 |
| Journal | Traffic and Granular Flow ' 05 : pp.603-611 (2007) Springer-Verlag, Berlin, Editors: A. Schadschneider, T. Poschel, R. Kuhne, M. Schreckenberg and D. E. Wolf |
Abstract
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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"abstract": "We present analytical and numerical results of modeling of flows represented\nas the correlated non-Poissonian point process and as the Poissonian sequence\nof pulses of the different size. Both models may generate signals with the\npower-law distributions of the intensity of the flow and the power-law spectral\ndensity. Furthermore, different distributions of the interevent time of the\npoint process and different statistics of the size of pulses may result in\n$1/f^{\\beta}$ noise (one-over-f noise, 1-f noise) with\n$0.5\\lesssim\\beta\\lesssim2$. Combination of the models is applied for modeling\nof the Internet traffic.",
"arxiv_id": "physics/0512068",
"authors": [
"Bronislovas Kaulakys",
"Miglius Alaburda",
"Vygintas Gontis",
"Tadas Meskauskas",
"Julius Ruseckas"
],
"categories": [
"physics.soc-ph",
"physics.data-an"
],
"journal_ref": "Traffic and Granular Flow \u0027 05 : pp.603-611 (2007)\n Springer-Verlag, Berlin, Editors: A. Schadschneider, T. Poschel, R. Kuhne, M.\n Schreckenberg and D. E. Wolf",
"title": "Modeling of flows with the power-law spectral densities and power-law distributions of flow\u0027s intensities",
"url": "https://arxiv.org/abs/physics/0512068"
},
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