Journal of Applied Mathematics and Stochastic Analysis 
Volume 11 (1998), Issue 2, Pages 163-178
doi:10.1155/S1048953398000124

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

Abstract

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.