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有可选到达、服务台可修的M/G/1重试排队系统
引用本文:朱翼隽,童仁群,王晓春,陈佩树.有可选到达、服务台可修的M/G/1重试排队系统[J].江苏大学学报(自然科学版),2007,28(1):85-88.
作者姓名:朱翼隽  童仁群  王晓春  陈佩树
作者单位:江苏大学,理学院,江苏,镇江,212013
基金项目:国家自然科学基金 , 江苏大学校科研和教改项目
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。

关 键 词:重试排队  服务台可修  反馈  可靠性
文章编号:1671-7775(2007)01-0085-04
修稿时间:2006年3月2日

M/G/1 retrial queues with server option on arrival and repairs
ZHU Yi-jun,TONG Ren-qun,WANG Xiao-chun,CHEN Pei-shu.M/G/1 retrial queues with server option on arrival and repairs[J].Journal of Jiangsu University:Natural Science Edition,2007,28(1):85-88.
Authors:ZHU Yi-jun  TONG Ren-qun  WANG Xiao-chun  CHEN Pei-shu
Abstract: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.
Keywords:retrial queues  repairable service station  recurrent  reliability
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