Research Article
A Random Multiple Access Protocol with Spatial Interactions
@INPROCEEDINGS{10.1109/WIOPT.2007.4480081, author={Charles Bordenave and Serguei Foss and Vsevolod Shneer}, title={A Random Multiple Access Protocol with Spatial Interactions}, proceedings={1st International ICST Workshop on Spatial Stochastic Models for Wireless Networks}, publisher={IEEE}, proceedings_a={SPASWIN}, year={2008}, month={3}, keywords={ALOHA protocol Fluid limits Spatial interactions Stability of processes}, doi={10.1109/WIOPT.2007.4480081} }
- Charles Bordenave
Serguei Foss
Vsevolod Shneer
Year: 2008
A Random Multiple Access Protocol with Spatial Interactions
SPASWIN
IEEE
DOI: 10.1109/WIOPT.2007.4480081
Abstract
We analyze an ALOHA type access protocol where users have local interactions. We establish that the fluid model of the system workload satisfies a differential equation. We exhibit a sufficient condition on the stability of this differential equation and deduce a sufficient condition for the stability of the protocol. We discuss the necessary condition.
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