具有二次多选择服务的M/G/1可修重试排队系统

An M/G/1 Retrial Queue with Second Multi-Optional Service and Server Breakdowns

研究了一个具有二次多选择服务和不可靠服务台的M/G/1重试排队系统.所有到达系统的顾客都需要接受首次主要服务,而只有部分顾客选择接受由同一服务台提供的二次服务.假设两个服务阶段的服务时间和服务台维修时间均服从一般分布,应用补充变量法,得到了各种稳态排队指标和可靠性指标.

We consider an M/G/1 retrial queue with two-phase service and unreliable server. All customers demand the first essential service, whereas only some of them demand the second ＂muhi-optional＂ service. It is assumed that the service time and repair time of two phases are all generally distributed. By applying the supplementary variables method, we obtain the steady-state solutions for both queuing measures and reliability quantities of the server.