Time-dependent behaviour of an alternating service queue
Probability
2014-04-23 v1
Abstract
We consider a model describing the waiting time of a server alternating between two service points. This model is described by a Lindley-type equation. We are interested in the time-dependent behaviour of this system and derive explicit expressions for its time-dependent waiting-time distribution, the correlation between waiting times, and the distribution of the cycle length. Since our model is closely related to Lindley's recursion, we compare our results to those derived for Lindley's recursion.
Keywords
Cite
@article{arxiv.1404.5587,
title = {Time-dependent behaviour of an alternating service queue},
author = {Maria Vlasiou and Bert Zwart},
journal= {arXiv preprint arXiv:1404.5587},
year = {2014}
}
Comments
23 pages, 17 references