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: | Sericola Bruno |
Keywords: | M/G/1 queues |
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.