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.