Estimating the Spatial Reuse with Configuration Models
Networking and Internet Architecture
2014-11-04 v1 Performance
Abstract
We propose a new methodology to estimate the spatial reuse of CSMA-like scheduling. Instead of focusing on spatial configurations of users, we model the interferences between users as a random graph. Using configuration models for random graphs, we show how the properties of the medium access mechanism are captured by some deterministic differential equations, when the size of the graph gets large. Performance indicators such as the probability of connection of a given node can then be efficiently computed from these equations. We also perform simulations to illustrate the results on different types of random graphs. Even on spatial structures, these estimates get very accurate as soon as the variance of the interference is not negligible.
Cite
@article{arxiv.1411.0143,
title = {Estimating the Spatial Reuse with Configuration Models},
author = {Paola Bermolen and Matthieu Jonckheere and Federico Larroca and Pascal Moyal},
journal= {arXiv preprint arXiv:1411.0143},
year = {2014}
}