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

页码：65 / 76

页数：12

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