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

Seva Shneer; Alexander Stolyar

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arXiv · 1810.08711

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

Seva Shneer·Alexander Stolyar

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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.

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Seva Shneer, Alexander Stolyar. 2018-10-19. Stability conditions for a decentralised medium access algorithm: single- and multi-hop networks. https://arxiv.org/abs/1810.08711

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