Convexity of Workload Autocorrelation in a Stationary Single Server Queue with Independent Increment Input
Probability
2011-12-06 v2
Abstract
We propose a method based on probabilistic arguments to study the convexity of the autocorrelation function of processes associated with a single server queue. To illustrate the power of the method we apply it in two cases: to the workload process seen by the customers of a GI/GI/1 queue, and to the workload process of a fluid queue fed by a general L\'evy process.
Keywords
Cite
@article{arxiv.1107.1230,
title = {Convexity of Workload Autocorrelation in a Stationary Single Server Queue with Independent Increment Input},
author = {F. Baccelli and D. Veitch},
journal= {arXiv preprint arXiv:1107.1230},
year = {2011}
}
Comments
The authors detected an error and are working on correcting it