We consider a fluid flow model with infinite buffer. We compute the Laplace-Stieltjes transform of the sojourn time proceeding in two steps. We first compute the stationary distribution of the buffer at arrival instants, using a change of clock. Secondly, we compute the transform of the time spent to empty the buffer. Numerical examples of sojourn time in a fluid flow are finally examined.
|Title of host publication||Queueing Theory and Network Applications|
|Subtitle of host publication||14th International Conference, QTNA 2019, Ghent, Belgium, August 27–29, 2019, Proceedings|
|Publication status||Published - 27 Aug 2019|
- Markov-modulated fluid flow
- Sojourn time
- Laplace-Stieljes transform