ON THE SINGLE SERVER RETRIAL QUEUE WITH PRIORITY SUBSCRIBERS AND SERVER BREAKDOWNS  

作　　者：Jinting WANG 

机构地区：[1]Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China

出　　处：《Journal of Systems Science & Complexity》2008年第2期304-315,共12页系统科学与复杂性学报（英文版）

基　　金：the Scientific Research Foundation for the Returned Overseas Chinese Scholars;Education Ministry and the National Natural Science Foundation of China under Grant Nos 10526004 and 60504016

摘　　要：The author concerned the reliability evaluation as well as queueing analysis of M1, M2/G1, G2/1 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.

关 键 词：Priority queues RELIABILITY retrial queues server breakdowns. 

分 类 号：F062.4[经济管理—政治经济学]