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Synergetic Effects for Number of Busy Servers in Multiserver Queuing Systems

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Information Technologies and Mathematical Modelling - Queueing Theory and Applications (ITMM 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 564))

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Abstract

In this paper we concretize a condition when an aggregation of n oneserver queuing systems into multiserver system for \(n\rightarrow \infty \) leads to an disappearance of a queue (in some probabilistic sense) and to a transformation of multiserver system into a system with infinite number of servers. An initial oneserver system is a system with Poisson input flow or with some modifications of this flow like a regular flow without an aftereffect or with Poisson flow in a random environment. Such formulation of a problem is connected with a large number of articles devoted to a modeling of computer networks by queuing systems with infinite number of servers and to a justification of these models application for real networks with finite number of servers.

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Author information

Authors and Affiliations

  1. Institute for Applied Mathematics Far Eastern Branch of RAS, Radio Str. 7, 690041, Vladivostok, Russia

    Gurami Tsitsiashvili & Marina Osipova

  2. Far Eastern Federal University, Sukhanova Str. 8, 690091, Vladivostok, Russia

    Gurami Tsitsiashvili & Marina Osipova

Authors
  1. Gurami Tsitsiashvili
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  2. Marina Osipova
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Corresponding author

Correspondence to Gurami Tsitsiashvili .

Editor information

Editors and Affiliations

  1. Applied Mathematics and Computer Science, Belarusian State University, Minsk, Russia

    Alexander Dudin

  2. Tomsk State University, Tomsk, Russia

    Anatoly Nazarov

  3. Kemerovo State University, Anzhero-Sudzhensk, Russia

    Rafael Yakupov

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Tsitsiashvili, G., Osipova, M. (2015). Synergetic Effects for Number of Busy Servers in Multiserver Queuing Systems. In: Dudin, A., Nazarov, A., Yakupov, R. (eds) Information Technologies and Mathematical Modelling - Queueing Theory and Applications. ITMM 2015. Communications in Computer and Information Science, vol 564. Springer, Cham. https://doi.org/10.1007/978-3-319-25861-4_34

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  • DOI: https://doi.org/10.1007/978-3-319-25861-4_34

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25860-7

  • Online ISBN: 978-3-319-25861-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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