Fluid limits for Queue-based CSMA with polynomial rates, homogenization and reflection
Probability
2021-06-08 v2
Abstract
We study in this paper a variation of the acclaimed CSMA random access protocol. We will focus on the case where back-off rates at each node is polynomial in the size of the queue. Under a condition relating the exponent in the polynomial rates and the geometry of the interference graph, we prove convergence of the scaled process to a deterministic fluid limit up to the time a queue reaches on the fluid scale . We outline the difficulties arising at that time and solve them in the case of a complete interference graph. This paper relies on a new method to obtain a fully coupled stochastic averaging principle and can hopefully lead to more result in heavy load situations.
Keywords
Cite
@article{arxiv.2011.06397,
title = {Fluid limits for Queue-based CSMA with polynomial rates, homogenization and reflection},
author = {Eyal Castiel},
journal= {arXiv preprint arXiv:2011.06397},
year = {2021}
}