Discrete-time bulk service queuing processes.

Abstract

In this paper an analysis of bulk service queuing system of Bailey and Jaiswal is made considering time as a discrete variable. Expressions for Average and Variance of queue length and average waiting-time are obtained when the input distribution is binomial and service-time is identically and independently distributed. The results of Bailey and Torben Meisling are shown as particular cases. These results are applied to find the Mean and Variance of queue length and mean waiting time in the special cases (i) when the service-time is constant and (ii) when the service-time follows geometric distribution.