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Study of Queues’ Sizes in Tandem Intersections under Cyclic Control in Random Environment

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Modern Probabilistic Methods for Analysis of Telecommunication Networks (BWWQT 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 356))

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Abstract

Tandem queueing systems under cyclic control with readjustments are investigated. Conflict input flows are formed in a random synchronious environment. Transition of customers from the first system to the second system occurs with random speeds. Two communicating intersections give an example of such a tandem. The blocks of the systems are described nonlocally. A mathematical model is constructed in form of a multidimensional denumerable discrete-time Markov chain. Limit behaviour of queues’ sizes is studied.

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References

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Author information

Authors and Affiliations

  1. N.I. Lobachevsky University of Nizhni Novgorod, Gagarina ave., 23, 603950, Nizhni Novgorod, Russia

    Andrei Zorine

Authors
  1. Andrei Zorine
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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  & Valentina Klimenok  & 

  2. Laboratory of Applied Probabilistic Analysis, Belarusian State University, 4 Nezavisimosti Avenue, 220030, Minsk, Belarus

    Gennadiy Tsarenkov  & Sergey Dudin  & 

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Zorine, A. (2013). Study of Queues’ Sizes in Tandem Intersections under Cyclic Control in Random Environment. In: Dudin, A., Klimenok, V., Tsarenkov, G., Dudin, S. (eds) Modern Probabilistic Methods for Analysis of Telecommunication Networks. BWWQT 2013. Communications in Computer and Information Science, vol 356. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35980-4_23

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  • DOI: https://doi.org/10.1007/978-3-642-35980-4_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35979-8

  • Online ISBN: 978-3-642-35980-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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