On many-server queues in heavy traffic
Probability
2010-01-14 v1
Abstract
We establish a heavy-traffic limit theorem on convergence in distribution for the number of customers in a many-server queue when the number of servers tends to infinity. No critical loading condition is assumed. Generally, the limit process does not have trajectories in the Skorohod space. We give conditions for the convergence to hold in the topology of compact convergence. Some new results for an infinite server are also provided.
Keywords
Cite
@article{arxiv.1001.2163,
title = {On many-server queues in heavy traffic},
author = {Anatolii A. Puhalskii and Josh E. Reed},
journal= {arXiv preprint arXiv:1001.2163},
year = {2010}
}
Comments
Published in at http://dx.doi.org/10.1214/09-AAP604 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)