Multiclass markovian fluid queues

被引:2
|
作者
Masuyama, Hiroyuki [1 ]
Takine, Tetsuya
机构
[1] Kyoto Univ, Grad Sch Informat, Dept Syst Sci, Kyoto 6068501, Japan
[2] Osaka Univ, Grad Sch Engn, Dept Informat & Commun Technol, Suita, Osaka 5650871, Japan
基金
日本学术振兴会;
关键词
markovian fluid queue; multiclass; FIFO; buffer contents; stationary joint distribution;
D O I
10.1007/s11134-007-9019-8
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper considers a multiclass Markovian fluid queue with a buffer of infinite capacity. Input rates of fluid flows in respective classes and the drain rate from the buffer are modulated by a continuous-time Markov chain with finite states. We derive the joint Laplace-Stieltjes transform for the stationary buffer contents in respective classes, assuming the FIFO service discipline. Further we develop a numerically feasible procedure to compute the joint and marginal moments of the stationary buffer contents in respective classes. Some numerical examples are then provided.
引用
收藏
页码:143 / 155
页数:13
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