On a class of correlated queueing problems

Abstract

This paper deals with a steady state behaviour of a discrete time, single channel, first come first served, finite space queueing problem. It is assumed that the departure probabilities depend on the queue length and that the departure at two consecutive time marks are correlated. The arrivals at two consecutive time marks are statistically independendent. However, the arrival probabilities are assumed to depend on the queue length. A few particular cases have also been discussed.