Renewal Theorems in the Problems of Queues "

"THE BEHA VIOR OF QUEUES is strongly affected by the distribution -of successive arrival times of customers as well as customer servicing times. In classical theory of queues, it used to be assumed that each distribution depends on exponential law, in which case the mathematical treatment is the easiest. For instance we can find the probability of queue lengths at counters in an ergodic case (or an equilibrium), the mean waiting time of a newly arri ved customer, the autocorrelation of the process of queues and so on. In recent years many authors have attempted to generalize the theory to the case where either or both of the distributions of servicing and arrival times obey the general distribution or other type of the distribution.