Functional limit theorems for the number of busy servers in a $G/G/\infty$ queue
Probability
2016-10-28 v1
Abstract
We discuss weak convergence of the number of busy servers in a queue in the -topology on the Skorokhod space. We prove two functional limit theorems, with random and nonrandom centering, respectively, thereby solving two open problems stated in Mikosch and Resnick (2006}. A new integral representation for the limit Gaussian process is given.
Keywords
Cite
@article{arxiv.1610.08662,
title = {Functional limit theorems for the number of busy servers in a $G/G/\infty$ queue},
author = {Alexander Iksanov and Wissem Jedidi and Fethi Bouzeffour},
journal= {arXiv preprint arXiv:1610.08662},
year = {2016}
}
Comments
submitted, 15 pages