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.