Sojourn Time in a Markov Driven Fluid Queue with Finite Buffer.

We consider here a Markov-driven finite fluid queue: the buffer content is limited to the interval [0, B ], with B < ∞ . This implies that at full capacity, entering fluid might be lost. We are interested in computing the sojourn time distribution.The lost of fluid at full capacity needs to be taken into account in order to extend the two step approach used in Deiana et al. in [ 3 ].