THE OVERALL SOJOURN TIME IN TANDEM QUEUES WITH IDENTICAL SUCCESSIVE SERVICE TIMES AND RENEWAL INPUT

Authors
LEGALL P
Citation
P. Legall, THE OVERALL SOJOURN TIME IN TANDEM QUEUES WITH IDENTICAL SUCCESSIVE SERVICE TIMES AND RENEWAL INPUT, Stochastic processes and their applications, 52(1), 1994, pp. 165-178
Citations number
6
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Stochastic processes and their applications → ACNP
ISSN journal
03044149
Volume
52
Issue
1
Year of publication
1994
Pages
165 - 178
Database
ISI
SICI code
0304-4149(1994)52:1<165:TOSTIT>2.0.ZU;2-5
Abstract
We consider the stochastic behaviour of a tandem queue in the case of a renewal arrival process and arbitrarily distributed identical succes sive service times. Immediately after being served at a given stage, t he customer enters the queue of unlimited capacity for service at the next stage. Service discipline is ''first come-first served''. In part icular, we derive the probability distribution of the overall sojourn time.