Title
Fluid queues driven by an M/M/1/N queue Fluid queues driven by an M/M/1/N queue
Author
Publication type
article
Publication
New York, N.Y. ,
Subject
Mathematics
Source (journal)
Mathematical problems in engineering: theory, methods, and applications. - New York, N.Y.
Volume/pages
6(2000) :5 , p. 439-460
ISSN
1024-123X
ISI
000090038900003
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/03d72e/6103.pdf
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