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Total Volume Distribution for Multiserver Queueing Systems with Random Capacity Demands

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Computer Networks (CN 2013)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 370))

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Abstract

We investigate multiserver queueing systems with Poisson arrivals, identical servers and random capacity demands under assumption that demand’s service time is proportional to its capacity having an exponential distribution. For such systems statistical characteristics of the total demands’ volume are determined.

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References

  1. Tikhonenko, O.: Computer Systems Probability Analysis. Akademicka Oficyna Wydawnicza EXIT, Warsaw (2006) (in Polish)

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  2. Tikhonenko, O.M.: Destricted Capacity Queueing Systems: Determination of their Characteristics. Autom. Remote Control 58(6), 969–972 (1997)

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  3. Klimov, G.P.: Stochastic Service Systems. Nauka, Moscow (1966) (in Russian)

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  4. Gnedenko, B.W., Konig, D.: Handbuch der Bedienungstheorie. Akademie Verlag, Berlin (1983)

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Author information

Authors and Affiliations

  1. Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Baltycka 5, 44-100, Gliwice, Poland

    Oleg Tikhonenko

  2. Institute of Mathematics, Czestochowa University of Technology, ul. Dabrowskiego 69, 42-201, Czestochowa, Poland

    Magdalena Kawecka

Authors
  1. Oleg Tikhonenko
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  2. Magdalena Kawecka
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Editor information

Editors and Affiliations

  1. Institute of Informatics, Silesian University of Technology, ul. Akademicka 16, 41-100, Gliwice, Poland

    Andrzej Kwiecień

  2. Institute of Informatics, Silesian University of Technology, ul. Akademicka 16, 44-100, Gliwice, Poland

    Piotr Gaj  & Piotr Stera  & 

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Tikhonenko, O., Kawecka, M. (2013). Total Volume Distribution for Multiserver Queueing Systems with Random Capacity Demands. In: Kwiecień, A., Gaj, P., Stera, P. (eds) Computer Networks. CN 2013. Communications in Computer and Information Science, vol 370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38865-1_40

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  • DOI: https://doi.org/10.1007/978-3-642-38865-1_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-38864-4

  • Online ISBN: 978-3-642-38865-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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