Stability conditions for a decentralised medium access algorithm: single- and multi-hop networks
Information Theory
2019-06-03 v2 math.IT
Probability
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.
Cite
@article{arxiv.1810.08711,
title = {Stability conditions for a decentralised medium access algorithm: single- and multi-hop networks},
author = {Seva Shneer and Alexander Stolyar},
journal= {arXiv preprint arXiv:1810.08711},
year = {2019}
}