Power law condition for stability of Poisson hail
Probability
2016-11-11 v2
Abstract
We consider the Poisson hail model introduced by Baccelli and Foss. We give a power law condition for the tails (spatial and temporal) of the distribution of jobs to ensure stability as the rate parameter tends to zero. We then show that in a weak sense it is optimal.
Cite
@article{arxiv.1410.0911,
title = {Power law condition for stability of Poisson hail},
author = {Sergey Foss and Takis Konstantopoulos and Thomas Mountford},
journal= {arXiv preprint arXiv:1410.0911},
year = {2016}
}
Comments
15 pages, 1 figure