研究了一类带有负顾客且具有反馈的M/G/1可修排队系统,正顾客服务完会以一定的概率立即排到队尾等待下一次服务,而以一定的补概率离开系统,永不再来。服务规则是先到先服务,负顾客抵消排队系统中的中间顾客(RCM)。使用“补充变量法”和状态转移方程分析该模型,得到了这一模型的排队指标和可靠性指标,并且发现此类排队系统完全取决于队长为2的概率。
The negative customers and the feedback are combined to study a type of M/G/1 repairable queuing system with negative customers and feedback. It is assumed that the positive customers return to the queue at some rate and leave the queue at the other rate. Service discipline is "first come, first service" and negative customers replacing positive ones in the middle of the queuing system. By using "supplemental variable method" and state transfer analysis the queuing indices and reliability indices are obtained. It is also found that this type of queuing system depends completely on the probability with queue length 2.