Stationary waiting time distribution in G/M/n/r with random renovation policy

Consideration is given to G/M/n/r FCFS queue with random renovation policy. This policy implies that a customer upon service completion with probability q(l) removes l customers from the queue and then leaves the system. The choice of customers to be removed from the queue is done in a random fashion. Customer from the queue are served in FCFS order. For this system in a series of papers there were obtained stationary characteristics related to the number of customers in the system. Here we obtain several expressions for the stationary time-related characteristics and specifically dwell on the stationary waiting time distribution, which is obtained in terms of the transforms.