We consider a single-line queuing system with an infinite buffer that receives two Poisson flows of customers with different intensities. Customers of the first type have preemptive priority over customers of the second type. In addition, at the time of the end of servicing, a high-priority customer with some probability can drop all low-priority customers in the queue. Serving both types of customers has an exponential distribution with different parameters. We show expressions for calculating stationary probabilities in this system, the probability of servicing a low-priority customer in terms of the generating function, and a formula for the average number of customers of the second type.

我们考虑具有无限缓冲区的单行排队系统，该缓冲区接收具有不同强度的两个Poisson客户流。第一类客户比第二类客户具有优先权。另外，在服务结束时，具有一定可能性的高优先级客户可以将所有低优先级客户丢弃在队列中。服务于两种类型的客户，其指数分布具有不同的参数。我们显示了用于计算该系统中的固定概率的表达式，根据生成函数为低优先级客户提供服务的概率以及第二类平均客户数量的公式。