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

Wendi Li; Yuanyuan Liu; Yiqiang Q. Zhao

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arXiv · 1807.02824

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

Wendi Li·Yuanyuan Liu·Yiqiang Q. Zhao

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Abstract

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.

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BibTeX RIS

Wendi Li, Yuanyuan Liu, Yiqiang Q. Zhao. 2018-07-08. Exact tail asymptotics for fluid models driven by an $M/M/c$ queue. https://arxiv.org/abs/1807.02824

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