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Retrial Queueing Model with Two-Way Communication, Unreliable Server and Resume of Interrupted Call for Cognitive Radio Networks

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Information Technologies and Mathematical Modelling. Queueing Theory and Applications (ITMM 2018, WRQ 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 912))

Abstract

In this paper, we consider a single server queueing model \({M/GI/GI/\mathrm{{1}}/\mathrm{{1}}}\) with two types of calls: incoming calls and outgoing calls. Incoming call enters the system and goes into service if the server is free. If the server is busy, call instantly goes to orbit, after which the call retries to go into service. The server makes an outgoing call in its idle time. We will be reviewing a system with unreliable server. In a free state and while servicing outgoing calls the server is reliable and unable to crash. If while servicing incoming call the server crashes, the incoming call stays at the server and as soon as server recovers the call goes into afterservice. For that system we’ve obtained probability distribution of server states, condition for the existence of a stationary mode and probability distribution of a number of incoming calls in the system.

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Author information

Authors and Affiliations

  1. National Research Tomsk State University, Tomsk, Russia

    Svetlana Paul

  2. Faculty of Engineering, Information and Systems, University of Tsukuba, Tsukuba, Japan

    Tuan Phung-Duc

Authors
  1. Svetlana Paul
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  2. Tuan Phung-Duc
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Corresponding author

Correspondence to Svetlana Paul .

Editor information

Editors and Affiliations

  1. Department 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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Paul, S., Phung-Duc, T. (2018). Retrial Queueing Model with Two-Way Communication, Unreliable Server and Resume of Interrupted Call for Cognitive Radio Networks. In: Dudin, A., Nazarov, A., Moiseev, A. (eds) Information Technologies and Mathematical Modelling. Queueing Theory and Applications. ITMM WRQ 2018 2018. Communications in Computer and Information Science, vol 912. Springer, Cham. https://doi.org/10.1007/978-3-319-97595-5_17

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  • DOI: https://doi.org/10.1007/978-3-319-97595-5_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-97594-8

  • Online ISBN: 978-3-319-97595-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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