DIFFUSION APPROXIMATION FOR GI/G/1 QUEUEING SYSTEMS WITH FINITE CAPACITY : II-THE STATIONARY BEHAVIOUR

Abstract

This paper is concerned with stationary behaviour of the GI/G/ 1(N) queueing system. Approximate formulae for the stationary loss probability and the stationary distribution of the number of customers are explicitly derived from using diffusion approximation and renewal theory. Moreover, approximate formulae for the mean number of customers are also obtained. These results are then modified so as to be more accurate for small N. It is shown from numerical results that these approximate formulae are sufficiently accurate for a practical use.