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Resource Queueing System \(MMPP^{(2,\nu )}|GI_2|\infty \) with Parallel Service of Multiple Paired Customers

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Information Technologies and Mathematical Modelling. Queueing Theory and Applications (ITMM 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1109))

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Abstract

The article proposes the method for investigating the heterogeneous queuing system of \(MMPP^{(2,\nu )}|GI_2|\infty \) type with resource splitting and parallel service. Each customer is characterized by a random total capacity which is independent of the service time. Based on the asymptotic analysis, it is possible to deduce the expressions for characteristic function of the process of the total amount of resource in two-service unit system. The mathematical models of this type could be of great interest in terms of application in telecommunication, for example, for modeling wireless network, enhancing the existing and designing new ones.

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Author information

Authors and Affiliations

  1. Tomsk State University, Lenina Avenue, 36, 634050, Tomsk, Russia

    Tatiana Bushkova, Ekaterina Pavlova & Svetlana Moiseeva

  2. Tomsk Politechnic University, Lenina Avenue, 30, 634050, Tomsk, Russia

    Svetlana Rozhkova

  3. University of Pisa, Pisa, Italy

    Michele Pagano

Authors
  1. Tatiana Bushkova
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  2. Ekaterina Pavlova
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  3. Svetlana Rozhkova
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  4. Svetlana Moiseeva
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  5. Michele Pagano
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Corresponding author

Correspondence to Svetlana Moiseeva .

Editor information

Editors and Affiliations

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

    Alexander Dudin

  2. Institute of Applied Mathematics and Computer Science, Tomsk State University, Tomsk, Russia

    Anatoly Nazarov

  3. Institute of Applied Mathematics and Computer Science, Tomsk State University, Tomsk, Russia

    Alexander Moiseev

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Bushkova, T., Pavlova, E., Rozhkova, S., Moiseeva, S., Pagano, M. (2019). Resource Queueing System \(MMPP^{(2,\nu )}|GI_2|\infty \) with Parallel Service of Multiple Paired Customers. In: Dudin, A., Nazarov, A., Moiseev, A. (eds) Information Technologies and Mathematical Modelling. Queueing Theory and Applications. ITMM 2019. Communications in Computer and Information Science, vol 1109. Springer, Cham. https://doi.org/10.1007/978-3-030-33388-1_12

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  • DOI: https://doi.org/10.1007/978-3-030-33388-1_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-33387-4

  • Online ISBN: 978-3-030-33388-1

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