The overall sojourn time in tandem queues with identical successive service times and renewal input
type: Item
instance of: scholarly article
title: The overall sojourn time in tandem queues with identical successive service times and renewal input
zbMATH Open document ID: 0813.60088
DOI: 10.1016/0304-4149(94)90106-6
published in: Stochastic Processes and their Applications
publication date: 1994-11-08T00:00:00Z
review text: A tandem queue with \(m + 1\) successive queues \((m \geq 1)\) having infinite waiting rooms and a renewal arrival process is considered. Successive service times are i.i.d. r.v.s (having the same distribution at all phases). The probability distribution of the overall sojourn time is derived in terms of the Laplace-Stieltjes transform.
Mathematics Subject Classification ID: 60K25
Mathematics Subject Classification ID: 90B22
zbMATH DE Number: 672066
zbMATH Keywords: Pollaczek's method
zbMATH Keywords: renewal input
zbMATH Keywords: tandem queue
zbMATH Keywords: overall sojourn time
zbMATH Keywords: Laplace-Stieltjes transform
author: Pierre-Yves Le Gall
MaRDI profile type: Publication
full work available at URL: 0304-4149(94)90106-6
OpenAlex ID: W1965139973
cites work: On a tandem queueing model with identical service times at both counters, I
cites work: Q3244412
cites work: Ergodocity of Queues in Series
cites work: A Tandem Network of Queues with Deterministic Service and Intermediate Arrivals
description: scientific article; zbMATH DE number 672066