On the $M_t/M_t/K_t+M_t$ queue in heavy traffic
Probability
2014-06-03 v3
Abstract
The focus of this paper is on the asymptotics of large-time numbers of customers in time-periodic Markovian many-server queues with customer abandonment in heavy traffic. Limit theorems are obtained for the periodic number-of-customers processes under the fluid and diffusion scalings. Other results concern limits for general time-dependent queues and for time-homogeneous queues in steady state.
Keywords
Cite
@article{arxiv.0807.4621,
title = {On the $M_t/M_t/K_t+M_t$ queue in heavy traffic},
author = {Anatolii A. Puhalskii},
journal= {arXiv preprint arXiv:0807.4621},
year = {2014}
}
Comments
The final publication is available at link.springer.com