Journal of Applied Mathematics and Stochastic Analysis
Volume 11 (1998), Issue 2, Pages 163-178

The stationary G/G/s queue with non-identical servers

Pierre Le Gall

France Telecom, CNET, 4 Parc de la Bérengère, Saint-Cloud F-92210, France

Received 1 February 1998; Revised 1 April 1998

Copyright © 1998 Pierre Le Gall. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We extend a recently developed factorization method to the case of the G/G/s queue with non-identical servers, by presenting three simple properties which lead to a simple numerical calculation method. We compare our results with those determined by classical Markovian (phase) methods in the case of the symmetrical M/G/s queue, and for the mean queueing delay we compare with results given by traffic simulation.