Self-averaging property of queuing systems
Probability
2007-05-23 v2
Abstract
We establish the averaging property for a queuing process with one server, M(t)/GI/1. It is a new relation between the output flow rate and the input flow rate, crucial in the study of the Poisson Hypothesis. Its implications include the statement that the output flow always possesses more regularity than the input flow.
Keywords
Cite
@article{arxiv.math/0510046,
title = {Self-averaging property of queuing systems},
author = {Alexandre Rybko and Senya Shlosman and Alexandre Vladimirov},
journal= {arXiv preprint arXiv:math/0510046},
year = {2007}
}
Comments
18 pages, one typo removed