A Markov modulated fluid queueing system with strict priority

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We investigate a Markov modulated fluid queueing system with strict priority. The input process is composed of two fluid flows which are stored in buffer-1 and buffer-2, respectively. The rates of these fluid flows depend on the current state of a finite state Markov chain. Buffer-1 has full assignment of priority (=strict priority) for service and so buffer-2 is served at a residual service rate when buffer-1 is empty. We explicitly derive the stationary joint distribution of the two buffer contents in the system by a spectral decomposition method. In the case of a two-state Markov chain, the joint distribution is explicitly expressed in terms of the system parameters. Also the joint moments and tail distributions of the two buffer contents are obtained and some numerical examples are presented.
Publisher
SPRINGER
Issue Date
1998
Language
English
Article Type
Article
Keywords

STOCHASTIC-THEORY; MODEL

Citation

TELECOMMUNICATION SYSTEMS, no.9, pp.75 - 95

ISSN
1018-4864
DOI
10.1023/A:1019138226866
URI
http://hdl.handle.net/10203/72982
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