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Joint Probability Density Function of Modulated Synchronous Flow Interval Duration

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Information Technologies and Mathematical Modelling (ITMM 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 487))

Abstract

An explicit form of a probability density function of interval duration between two adjacent events of modulated synchronous doubly stochastic flow is derived. Also an explicit form of a joint probability density function for modulated synchronous flow interval duration is obtained. This flow is one of the mathematical models of information flows, which take place in digital networks with integral service. The flow is considered in stationary mode when there are no transition processes. A recurrent conditions for modulated synchronous flow are obtained using the formula for joint probability density function.

The work is supported by Tomsk State University Competitiveness Improvement Program.

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Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    Aleksandr Gortsev & Mariya Sirotina

Authors
  1. Aleksandr Gortsev
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  2. Mariya Sirotina
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Editor information

Editors and Affiliations

  1. Department of Applied Mathematics and Computer Science, Belarusian State University, 220030, Minsk, Belarus

    Alexander Dudin

  2. Tomsk State University, Tomsk, Russia

    Anatoly Nazarov

  3. Kemerovo State University, Anzhero-Sudzhensk, Russia

    Rafael Yakupov

  4. National Research Tomsk State University, 634050, Tomsk, Russia

    Alexander Gortsev

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© 2014 Springer International Publishing Switzerland

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Gortsev, A., Sirotina, M. (2014). Joint Probability Density Function of Modulated Synchronous Flow Interval Duration. In: Dudin, A., Nazarov, A., Yakupov, R., Gortsev, A. (eds) Information Technologies and Mathematical Modelling. ITMM 2014. Communications in Computer and Information Science, vol 487. Springer, Cham. https://doi.org/10.1007/978-3-319-13671-4_17

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  • DOI: https://doi.org/10.1007/978-3-319-13671-4_17

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13670-7

  • Online ISBN: 978-3-319-13671-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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