Exact tail asymptotics for fluid models driven by an $M/M/c$ queue

Wendi Li, Yuanyuan Liu, Yiqiang Q. Zhao

Published 2018-07-08Version 1

In this paper, we investigate exact tail asymptotics for the stationary distribution of a fluid model driven by the $M/M/c$ queue, which is a two-dimensional queueing system with a discrete phase and a continuous level. We extend the kernel method to study tail asymptotics of its stationary distribution, and a total of three types of exact tail asymptotics is identified from our study and reported in the paper.