English

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

Probability 2018-07-10 v1

Abstract

In this paper, we investigate exact tail asymptotics for the stationary distribution of a fluid model driven by the M/M/cM/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.

Cite

@article{arxiv.1807.02824,
  title  = {Exact tail asymptotics for fluid models driven by an $M/M/c$ queue},
  author = {Wendi Li and Yuanyuan Liu and Yiqiang Q. Zhao},
  journal= {arXiv preprint arXiv:1807.02824},
  year   = {2018}
}

Comments

25 pages

R2 v1 2026-06-23T02:54:02.522Z