Publication
Title
Fluid queues driven by an M/M/1/N queue
Author
Abstract
In this paper, we consider fluid queue models with infinite buffer capacity which receives and releases fluid at variable rates in such a way that the net input rate of fluid into the buffer (which is negative when fluid is flowing out of the buffer) is uniquely determined by the number of customers in an M/M/1/N queue model (that is, the fluid queue is driven by this Markovian queue) with constant arrival and service rates. We use some interesting identities of tridiagonal determinants to find analytically the eigenvalues of the underlying tridiagonal matrix and hence the distribution function of the buffer occupancy. For specific cases, we verify the results available in the literature.
Language
English
Source (journal)
Mathematical problems in engineering: theory, methods, and applications. - New York, N.Y.
Publication
New York, N.Y. : 2000
ISSN
1024-123X
Volume/pages
6:5(2000), p. 439-460
ISI
000090038900003
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.01.2013
Last edited 22.09.2017
To cite this reference