Validity of heavy-traffic steady-state approximations in many-server queues with abandonment
Probability
2014-01-14 v2
Abstract
We consider GI/Ph/n+M parallel-server systems with a renewal arrival process, a phase-type service time distribution, n homogenous servers, and an exponential patience time distribution with positive rate. We show that in the Halfin-Whitt regime, the sequence of stationary distributions corresponding to the normalized state processes is tight. As a consequence, we establish an interchange of heavy traffic and steady state limits for GI/Ph/n+M queues.
Keywords
Cite
@article{arxiv.1306.5346,
title = {Validity of heavy-traffic steady-state approximations in many-server queues with abandonment},
author = {J. G. Dai and A. B. Dieker and Xuefeng Gao},
journal= {arXiv preprint arXiv:1306.5346},
year = {2014}
}