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On the Distribution of Calls in a Wireless Network driven by Fluid Traffic

Author

Listed:
  • Aljaz Ule

    (University of Amsterdam)

  • Richard J. Boucherie

    (University of Amsterdam)

Abstract

This note develops a modelling approach for wireless networks driven byfluid traffic models. Introducing traffic sets that follow movement ofsubscribers, the wireless network with time-varying rates is transformedinto a stationary network at these traffic sets, which yields that thedistribution of calls over the cells of the network depends on the calllength distribution only through its mean. The result is extended to anetwork of infinite server queues with time-varying arrival rates.

Suggested Citation

  • Aljaz Ule & Richard J. Boucherie, 2000. "On the Distribution of Calls in a Wireless Network driven by Fluid Traffic," Tinbergen Institute Discussion Papers 00-052/4, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20000052
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    References listed on IDEAS

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    1. Richard J. Boucherie & Nico M. van Dijk, 2000. "On a Queueing Network Model for Cellular Mobile Telecommunications Networks," Operations Research, INFORMS, vol. 48(1), pages 38-49, February.
    2. Newell, G. F., 1993. "A simplified theory of kinematic waves in highway traffic, part I: General theory," Transportation Research Part B: Methodological, Elsevier, vol. 27(4), pages 281-287, August.
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    Cited by:

    1. Stef Baas & Sander Dijkstra & Aleida Braaksma & Plom Rooij & Fieke J. Snijders & Lars Tiemessen & Richard J. Boucherie, 2021. "Real-time forecasting of COVID-19 bed occupancy in wards and Intensive Care Units," Health Care Management Science, Springer, vol. 24(2), pages 402-419, June.

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    Keywords

    Telecommunications; Traffic; Stochastic processes;
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