Queueing networks with a single shared server: light and heavy traffic
Abstract
We study a queueing network with a single shared server, that serves the queues in a cyclic order according to the gated service discipline. External customers arrive at the queues according to independent Poisson processes. After completing service, a customer either leaves the system or is routed to another queue. This model is very generic and finds many applications in computer systems, communication networks, manufacturing systems and robotics. Special cases of the introduced network include well-known polling models and tandem queues. We derive exact limits of the mean delays under both heavy-traffic and light-traffic conditions. By interpolating between these asymptotic regimes, we develop simple closed-form approximations for the mean delays for arbitrary loads.
Keywords
Cite
@article{arxiv.1408.0151,
title = {Queueing networks with a single shared server: light and heavy traffic},
author = {Marko Boon and Rob van der Mei and Erik Winands},
journal= {arXiv preprint arXiv:1408.0151},
year = {2014}
}
Comments
The short paper was published in the proceedings of Performance 2011, Amsterdam