A fluid queue driven by a Markovian queue
Queueing Systems: Theory and Applications
Matrix-analytic methods for fluid queues with finite buffers
Performance Evaluation
Fluid models in performance analysis
SFM'07 Proceedings of the 7th international conference on Formal methods for performance evaluation
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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.