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Analysis of Queueing System with Constant Service Time for SIP Server Hop-by-Hop Overload Control

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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

Consideration is given to the analysis of queueing system M 2|D|1|R with bi-level hysteretic input load control that can model signalling hop-by-hop overload control mechanism for SIP servers described in RFC 6357. Bi-level hysteretic input load control implies that system may be in three states (normal, overloaded, blocking), depending on the total number of customers present in it, and upon each state change input flow rate is adjusted. New approach that allows fast computation of joint stationary probability distribution is proposed, expressions for important performance characteristics are given.

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References

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Author information

Authors and Affiliations

  1. Peoples Friendship University, Ordzhonikidze str., 3, 117198, Moscow, Russia

    Pavel Abaev, Alexander Pechinkin & Rostislav Razumchik

  2. Institute of Informatics Problems of Russian Academy of Sciences, Vavilova str., 44-2, 119333, Moscow, Russia

    Alexander Pechinkin & Rostislav Razumchik

Authors
  1. Pavel Abaev
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  2. Alexander Pechinkin
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  3. Rostislav Razumchik
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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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© 2013 Springer-Verlag Berlin Heidelberg

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Abaev, P., Pechinkin, A., Razumchik, R. (2013). Analysis of Queueing System with Constant Service Time for SIP Server Hop-by-Hop Overload Control. 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_1

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  • DOI: https://doi.org/10.1007/978-3-642-35980-4_1

  • 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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