On a loss storage network with finite capacity
Probability
2025-07-16 v1
Abstract
Our goal in this paper is to investigate the fluid picture associated with an open large scale storage network of non-reliable file servers with finite capacity. In this storage system, new files can be added and a file with only one copy can be lost or duplicated. The Skorokhod problem with oblique reflection in a bounded convex domain is used to identify the fluid limits. Such analysis involves the study of three different regimes, the under-loaded, the critical and the overloaded regime. The overloaded regime is of particular importance. To identify the fluid limits, new martingales are obtained and an averaging property is established.
Cite
@article{arxiv.2302.05237,
title = {On a loss storage network with finite capacity},
author = {Ahmed El Kharroubi and Soukaina El Masmari},
journal= {arXiv preprint arXiv:2302.05237},
year = {2025}
}