Waiting Time Distribution in a Poisson Queue with a General Bulk Service Rule

Abstract

This paper relates to a queueing system with Poisson input and exponential service time, service taking place in batches under a “general bulk service rule.” (A batch will contain no fewer than “ a ” and no more than “ b ” units.) The object of this paper is to study the waiting time distribution of such a bulk service system under steady state and also to indicate how the moments of the distribution can be obtained.