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Transition time asymptotics of queue-based activation protocols in random-access networks

Author

Listed:
  • Borst, S.C.
  • den Hollander, F.
  • Nardi, F.R.
  • Sfragara, M.

Abstract

We consider networks where each node represents a server with a queue. An active node deactivates at unit rate. An inactive node activates at a rate that depends on its queue length, provided none of its neighbors is active.

Suggested Citation

  • Borst, S.C. & den Hollander, F. & Nardi, F.R. & Sfragara, M., 2020. "Transition time asymptotics of queue-based activation protocols in random-access networks," Stochastic Processes and their Applications, Elsevier, vol. 130(12), pages 7483-7517.
    • Handle: RePEc:eee:spapps:v:130:y:2020:i:12:p:7483-7517
    DOI: 10.1016/j.spa.2020.08.004
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    Cited by:

    1. Ioannis Dimitriou, 2021. "On partially homogeneous nearest-neighbour random walks in the quarter plane and their application in the analysis of two-dimensional queues with limited state-dependency," Queueing Systems: Theory and Applications, Springer, vol. 98(1), pages 95-143, June.
    2. Mathilde Durvy & Olivier Dousse & Patrick Thiran, 2022. "On the transition times in a loss model of wireless networks," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 289-291, April.

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