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

In: Traffic and Granular Flow’05

Author

Listed:
  • 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)

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.

Suggested Citation

  • Bronislovas Kaulakys & Miglius Alaburda & Vygintas Gontis & Tadas Meskauskas & Julius Ruseckas, 2007. "Modeling of Flows with Power-Law Spectral Densities and Power-Law Distributions of Flow Intensities," Springer Books, in: Andreas Schadschneider & Thorsten Pöschel & Reinhart Kühne & Michael Schreckenberg & Dietrich E. Wol (ed.), Traffic and Granular Flow’05, pages 603-611, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-47641-2_59
    DOI: 10.1007/978-3-540-47641-2_59
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