| Article ID: | iaor20003186 |
| Country: | Netherlands |
| Volume: | 31 |
| Issue: | 3/4 |
| Start Page Number: | 253 |
| End Page Number: | 264 |
| Publication Date: | Jan 1999 |
| Journal: | Queueing Systems |
| Authors: | Sericola Bruno, Tuffin Bruno |
| Keywords: | markov processes |
We consider an infinite buffer fluid queue receiving its input from the output of a Markovian queue with finite or infinite waiting room. The input is characterised by a Markov modulated rate process. We derive a new approach for the computation of the stationary buffer content. This approach leads to a numerically stable algorithm for which the precision of the result can be given in advance.