(The) symmetric queues with cyclic order and bulk arrivals

Abstract

In this paper, we shall study the symmetric queues with cyclic order and bulk arrivals. We obtain the mean queue length in the system by $M^x$/G/l decomposition result. We also obtain the mean waiting time of a randomly selected customer of an arrival group in the system by using the results of S.W. Fuhrmann (1985) [12] and Yutaka Baba (1986) [13].