Network Capacity Region of Multi-Queue Multi-Server Queueing System with Time Varying Connectivities
Information Theory
2010-01-14 v2 Networking and Internet Architecture
math.IT
Optimization and Control
Abstract
Network capacity region of multi-queue multi-server queueing system with random ON-OFF connectivities and stationary arrival processes is derived in this paper. Specifically, the necessary and sufficient conditions for the stability of the system are derived under general arrival processes with finite first and second moments. In the case of stationary arrival processes, these conditions establish the network capacity region of the system. It is also shown that AS/LCQ (Any Server/Longest Connected Queue) policy stabilizes the system when it is stabilizable. Furthermore, an upper bound for the average queue occupancy is derived for this policy.
Keywords
Cite
@article{arxiv.1001.2274,
title = {Network Capacity Region of Multi-Queue Multi-Server Queueing System with Time Varying Connectivities},
author = {Hassan Halabian and Ioannis Lambadaris and Chung-Horng Lung},
journal= {arXiv preprint arXiv:1001.2274},
year = {2010}
}
Comments
9 pages, 4 figures