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 are identified from our study and reported in the paper.

Asymptotic analysis, Exact tail asymptotics, Fluid queue driven by an M / M / c queue, Kernel method, Stationary distribution
Queueing Systems
School of Mathematics and Statistics

Li, W. (Wendi), Liu, Y. (Yuanyuan), & Zhao, Y. (2019). Exact tail asymptotics for fluid models driven by an M/M/c queue. Queueing Systems. doi:10.1007/s11134-019-09601-6