有可选到达、服务台可修的M/G/1重试排队系统  

M/G/1 retrial queues with server option on arrival and repairs

作　　者：朱翼隽[1] 童仁群[1] 王晓春[1] 陈佩树[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《江苏大学学报（自然科学版）》2007年第1期85-88,共4页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(70571030);江苏大学科研启动基金资助项目(04JDG032)

摘　　要：考虑了一个具有重试,可选择到达,反馈,服务台可修的M/G/1排队系统.研究了顾客到达后具有两种选择:或以概率q直接进入重试组,在重试组中要求接受服务;或者以概率1-q接触服务台,如果服务台处于闲期,则立刻接受服务,否则进入重试组,顾客一旦服务完毕后,可以以概率1-p离开系统或者以概率p返回重试组再次要求服务的情况.求得系统稳态时一些排队指标和可靠性指标.Retrial, recurrent and option on arrival M/G/1 queueing system with repairable service station are studied. An arriving customer has two options： he may immediately join the retrial group with probability q and begin applying for service form, or he may contact the server immediately on arrival with probability 1 - q then enter service （ if the service is free） or join the retrial group （ if the service is busy）. After being served a customer can either leaves the system with probability 1 -p or rejoins the retrial group with probability p and apply for service again. Some queueing quantities of the system and the reliability quantities of the server are obtained.

关 键 词：重试排队 服务台可修 反馈 可靠性 

分 类 号：O226[理学—运筹学与控制论]