A finite buffer fluid queue driven by a Markovian queue

A finite buffer fluid queue driven by a Markovian queue

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Article ID: iaor2004844
Country: Netherlands
Volume: 38
Issue: 2
Start Page Number: 213
End Page Number: 220
Publication Date: Jun 2001
Journal: Queueing Systems
Authors:
Keywords: M/G/1 queues
Abstract:

We consider a finite buffer fluid queue receiving its input from the output of a Markovian queue with finite or infinite waiting room. The input flow into the fluid queue is thus characterized by a Markov modulated input rate process and we derive for a wide class of such input processes, a procedure for the computation of the stationary buffer content of the fluid queue and the stationary overflow probability. This approach leads to a numerically stable algorithm for which the precision of the result can be specified in advance.

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