The M/M/∞ queue in a random environment

被引：29
|
作者：
Falin, G. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Mech & Math Fac, Dept Probabil, Moscow 119992, Russia
来源：
QUEUEING SYSTEMS | 2008年 / 58卷 / 01期
关键词：
infinite server queue; random environment;
D O I：
10.1007/s11134-007-9059-0
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We consider the M/M/infinity queueing system with arrival and service rate depending on the state of an auxiliary semi-Markov process (which can be viewed as an external environment) and find the mean number of customers in the system in steady state. In a particular case when the external environment can be only in two states we find the distribution of the number of customers in the system.
引用
收藏
页码：65 / 76
页数：12
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