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arxiv: 1810.08711 · v2 · pith:NSDIGQZAnew · submitted 2018-10-19 · 💻 cs.IT · math.IT· math.PR

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

classification 💻 cs.IT math.ITmath.PR
keywords conditionsfinitenetworksstabilityalgorithmconsiderdecentralisedmulti-hop
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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.

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