| Article ID: | iaor20061032 |
| Country: | Netherlands |
| Volume: | 33 |
| Issue: | 6 |
| Start Page Number: | 551 |
| End Page Number: | 559 |
| Publication Date: | Nov 2005 |
| Journal: | Operations Research Letters |
| Authors: | Mandjes Michel, Scheinhardt Werner, Foreest Nicky van |
| Keywords: | markov processes |
We investigate a fluid queue with feedback from the (finite) buffer to the background process. The latter behaves as a continuous-time Markov chain, but the generator (and traffic rates) depend continuously on the current buffer level. We derive the Kolmogorov equations, and, for two-state background processes, the explicit stationary distribution.