Journal of Applied Mathematics and Stochastic Analysis 
Volume 12 (1999), Issue 4, Pages 417-428
doi:10.1155/S1048953399000349

The stationary local sojourn time in single server tandem queues with renewal input

Pierre Le Gall

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

Received 1 November 1998; Revised 1 June 1999

Abstract

We start from an earlier paper evaluating the overall sojourn time to derive the local sojourn time in stationary regime, in a single server tandem queue of (m+1) stages with renewal input. The successive service times of a customer may or may not be mutually dependent, and are governed by a general distribution which may be different at each sage.