On the single server retrial queue with priority subscribers and server breakdowns

被引:10
|
作者
Wang, Jinting [1 ]
机构
[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China
基金
中国国家自然科学基金;
关键词
priority queues; reliability; retrial queues; server breakdowns;
D O I
10.1007/s11424-008-9114-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The author concerned the reliability evaluation as well as queueing analysis of M-1, M-2/G(1), G(2)/1 retrial queues with two different types of primary customers arriving according to independent Poisson flows. In the case of blocking, the first type of customers can be queued whereas the second type of customers must leave the service area but return after some random period of time to try their luck again. The author assumes that the server is unreliable and it has a service-type dependent, exponentially distributed life time as well as a service-type dependent, generally distributed repair time. The necessary and sufficient condition for the system to be stable is investigated. Using a supplementary variable method, the author obtains a steady-state solution for queueing measures, and the transient as well as the steady-state solutions for reliability measures of interest.
引用
收藏
页码:304 / 315
页数:12
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