Queueing systemwith negative customers, bunker for ousted customers, and different service rates

Consideration was given to the queuing system with Poisson flows of incoming positive and negative customers. For the positive customers, there is an infinite-capacity buffer. The arriving negative customer knocks out a positive customer queued in the buffer and moves it to an infinite-capacity buffer of ousted customers (bunker). If the buffer is empty, then the negative customer discharges the system without affecting it. After servicing the current customer, the server receives a customer from the buffer or, if the buffer is empty, the bunker. The service times of customers arriving from buffer and bunker are distributed exponentially but with different parameters. Relations for calculation of the stationary distributions of the queues in the buffer and bunker are obtained.