Modeling of Flows with Power-Law Spectral Densities and Power-Law Distributions of Flow Intensities

Bronislovas Kaulakys, Miglius Alaburda, Vygintas Gontis, Tadas Meskauskas and Julius Ruseckas
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Bronislovas Kaulakys: Institute of Theoretical Physics and Astronomy of Vilnius University
Miglius Alaburda: Institute of Theoretical Physics and Astronomy of Vilnius University
Vygintas Gontis: Institute of Theoretical Physics and Astronomy of Vilnius University
Tadas Meskauskas: Institute of Theoretical Physics and Astronomy of Vilnius University
Julius Ruseckas: Institute of Theoretical Physics and Astronomy of Vilnius University

A chapter in Traffic and Granular Flow’05, 2007, pp 603-611 from Springer

Abstract: Summary We present analytical and numerical results of modeling of flows represented as correlated non-Poissonian point process and as Poissonian sequence of pulses of different size. Both models may generate signals with power-law distributions of the intensity of the flow and 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 β noise with 0.5 ≲ β ≲ 2. A combination of the models is applied for modeling Internet traffic.

Keywords: Power Spectral Density; Point Process; Point Process Model; Interevent Time; Multiplicative Process (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-47641-2_59

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DOI: 10.1007/978-3-540-47641-2_59

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