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.

Additional Metadata
Keywords Asymptotic analysis, Exact tail asymptotics, Fluid queue driven by an M / M / c queue, Kernel method, Stationary distribution
Persistent URL dx.doi.org/10.1007/s11134-019-09601-6
Journal Queueing Systems
Citation
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