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
收藏
页码：319 / 346
页数：28
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