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

被引：6

作者：

Li, Wendi ^{[1
]}

Liu, Yuanyuan ^{[1
]}

Zhao, Yiqiang Q. ^{[2
]}

机构：

[1] Cent South Univ, Sch Math & Stat, New Campus, Changsha 410083, Hunan, Peoples R China

[2] Carleton Univ, Sch Math & Stat, 1125 Colonel By Dr, Ottawa, ON K1S 5B6, Canada

来源：

QUEUEING SYSTEMS | 2019年 / 91卷 / 3-4期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Fluid queue driven by an M / M / c queue; Kernel method; Exact tail asymptotics; Stationary distribution; Asymptotic analysis; AUGMENTED TRUNCATION APPROXIMATIONS; ERROR-BOUNDS;

D O I：

10.1007/s11134-019-09601-6

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

页码：319 / 346

页数：28

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