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A New Finite-Source Queueing Model For Mobile Cellular Networks Applying Spectrum Renting

Author

Listed:
  • TIEN V. DO

    (Department of Networked Systems and Services, Budapest University of Technology and Economics, Magyar tudósok körútja 2, Budapest, Hungary)

  • PATRICK WÜCHNER

    (Faculty of Informatics and Mathematics, University of Passau, Innstraße 43, 94032 Passau, Germany)

  • TAMÁS BÉRCZES

    (Faculty of Informatics, University of Debrecen, Egyetem tér 1, P.O. Box 12, 4010 Debrecen, Hungary)

  • JÁNOS SZTRIK

    (Faculty of Informatics, University of Debrecen, Egyetem tér 1, P.O. Box 12, 4010 Debrecen, Hungary)

  • HERMANN DE MEER

    (Faculty of Informatics and Mathematics, University of Passau, Innstraße 43, 94032 Passau, Germany)

Abstract

This paper proposes a retrial queueing model with the finite number of sources to evaluate the performance of spectrum renting in mobile cellular networks. The model incorporates necessary ingredients such as the finite number of subscribers, their impatience and a queue for the outbound service. To consider the specific feature of spectrum renting and the current mobile cellular technology, a variable number of servers that are switched on and off in groups is introduced. We present a novel way to take into account the renting fee, which can be used to fine-tune the operation of the spectrum renting procedure. Numerical results show that it is still profitable to initiate a spectrum renting request at high loads, even if no discount is offered by the frequency bands' owners.

Suggested Citation

  • Tien V. Do & Patrick Wüchner & Tamás Bérczes & János Sztrik & Hermann De Meer, 2014. "A New Finite-Source Queueing Model For Mobile Cellular Networks Applying Spectrum Renting," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 31(02), pages 1-19.
    • Handle: RePEc:wsi:apjorx:v:31:y:2014:i:02:n:s0217595914400041
    DOI: 10.1142/S0217595914400041
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    Citations

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    Cited by:

    1. Velika I. Dragieva, 2016. "Steady state analysis of the M/G/1//N queue with orbit of blocked customers," Annals of Operations Research, Springer, vol. 247(1), pages 121-140, December.
    2. Anatoly Nazarov & János Sztrik & Anna Kvach & Ádám Tóth, 2020. "Asymptotic sojourn time analysis of finite-source M/M/1 retrial queueing system with collisions and server subject to breakdowns and repairs," Annals of Operations Research, Springer, vol. 288(1), pages 417-434, May.
    3. Velika I. Dragieva & Tuan Phung-Duc, 2020. "A finite-source M/G/1 retrial queue with outgoing calls," Annals of Operations Research, Springer, vol. 293(1), pages 101-121, October.

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