Fluid Models of Many-server Queues with Abandonment
Probability
2013-08-27 v1
Abstract
We study many-server queues with abandonment in which customers have general service and patience time distributions. The dynamics of the system are modeled using measure- valued processes, to keep track of the residual service and patience times of each customer. Deterministic fluid models are established to provide first-order approximation for this model. The fluid model solution, which is proved to uniquely exists, serves as the fluid limit of the many-server queue, as the number of servers becomes large. Based on the fluid model solution, first-order approximations for various performance quantities are proposed.
Keywords
Cite
@article{arxiv.0909.1671,
title = {Fluid Models of Many-server Queues with Abandonment},
author = {Jiheng Zhang},
journal= {arXiv preprint arXiv:0909.1671},
year = {2013}
}