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Stability conditions for a decentralised medium access algorithm: single- and multi-hop networks

Author

Listed:
  • Seva Shneer

    (Heriot-Watt University)

  • Alexander Stolyar

    (University of Illinois at Urbana-Champaign)

Abstract

We consider a decentralised multi-access algorithm, motivated primarily by the control of transmissions in a wireless network. For a finite single-hop network with arbitrary interference constraints, we prove stochastic stability under the natural conditions. For infinite and finite single-hop networks, we obtain broad rate-stability conditions. We also consider symmetric finite multi-hop networks and show that the natural condition is sufficient for stochastic stability.

Suggested Citation

  • Seva Shneer & Alexander Stolyar, 2020. "Stability conditions for a decentralised medium access algorithm: single- and multi-hop networks," Queueing Systems: Theory and Applications, Springer, vol. 94(1), pages 109-128, February.
    • Handle: RePEc:spr:queues:v:94:y:2020:i:1:d:10.1007_s11134-019-09635-w
    DOI: 10.1007/s11134-019-09635-w
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    References listed on IDEAS

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    1. Bin Li & R. Srikant, 2016. "Correction to “Queue-proportional rate allocation with per-link information in multihop wireless networks”," Queueing Systems: Theory and Applications, Springer, vol. 84(1), pages 203-210, October.
    2. Bin Li & R. Srikant, 2016. "Queue-proportional rate allocation with per-link information in multihop wireless networks," Queueing Systems: Theory and Applications, Springer, vol. 83(3), pages 329-359, August.
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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.

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