Simple analysis of a fluid queue driven by an M/M/1 queue

被引：34
|
作者：
Adan, I
Resing, J
机构：
[1] Dept. of Math. and Computing Science, Eindhoven University of Technology, 5600 MB Eindhoven
来源：
QUEUEING SYSTEMS | 1996年 / 22卷 / 1-2期
关键词：
fluid queue; alternating renewal process; M/M/1; queue;
D O I：
10.1007/BF01159399
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this note we consider the fluid queue driven by an M/M/1 queue as analysed by Virtamo and Norros [Queueing Systems 16(1994) 373-386]. We show that the stationary buffer content in this model can be easily analysed by looking at embedded time points. This approach gives the stationary buffer content distribution in terms of the modified Bessel function of the first kind of order one. By using a suitable integral representation for this Bessel function we show that our results coincide with the ones of Virtamo and Norros.
引用
收藏
页码：171 / 174
页数：4
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