Queueing for ergodic arrivals and services
Probability
2008-06-19 v1 Information Theory
math.IT
Abstract
In this paper we revisit the results of Loynes (1962) on stability of queues for ergodic arrivals and services, and show examples when the arrivals are bounded and ergodic, the service rate is constant, and under stability the limit distribution has larger than exponential tail.
Keywords
Cite
@article{arxiv.0709.2330,
title = {Queueing for ergodic arrivals and services},
author = {L. Gyorfi and G. Morvai},
journal= {arXiv preprint arXiv:0709.2330},
year = {2008}
}
Comments
Queueing for ergodic arrivals and services. In Limit Theorems in Probability and Statistics, I. Berkes E. Csaki, M. Csorgo (Eds.), pp. 127-141, J. Bolyai Mathematical Society, 2002