On a Generalized Queueing System with Poisson Arrivals

Abstract

This note shows that an inductive method used by Prabhu (1960) to obtain the distribution of the busy period of the queueing systemM/G/1 may be used to obtain the busy period distributions for the queueing systemM1M2, …,M1/G1, G2, …,Gr/1 first derived using a somewhat longer method by Welch (1965).