SIMPLE ANALYSIS OF A FLUID QUEUE DRIVEN BY AN M M/1 QUEUE/

Authors
ADAN I RESING J
Citation
I. Adan et J. Resing, SIMPLE ANALYSIS OF A FLUID QUEUE DRIVEN BY AN M M/1 QUEUE/, Queuing systems, 22(1-2), 1996, pp. 171-174
Citations number
5
Categorie Soggetti
Operatione Research & Management Science","Computer Science Interdisciplinary Applications
Journal title
Queuing systems → ACNP
ISSN journal
02570130
Volume
22
Issue
1-2
Year of publication
1996
Pages
171 - 174
Database
ISI
SICI code
0257-0130(1996)22:1-2<171:SAOAFQ>2.0.ZU;2-S
Abstract
In this note we consider the fluid queue driven by an M/M/1 queue as a nalysed by Virtamo and Norros [Queueing Systems 16(1994) 373-386]. We show that the stationary buffer content in this model can be easily an alysed by looking at embedded time points. This approach gives the sta tionary buffer content distribution in terms of the modified Bessel fu nction of the first kind of order one. By using a suitable integral re presentation for this Bessel function we show that our results coincid e with the ones of Virtamo and Norros.