Abstract
This paper considers a multiclass Markovian fluid queue with a buffer of infinite capacity. Input rates of fluid flows in respective classes and the drain rate from the buffer are modulated by a continuous-time Markov chain with finite states. We derive the joint Laplace-Stieltjes transform for the stationary buffer contents in respective classes, assuming the FIFO service discipline. Further we develop a numerically feasible procedure to compute the joint and marginal moments of the stationary buffer contents in respective classes. Some numerical examples are then provided.
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Masuyama, H., Takine, T. Multiclass Markovian fluid queues. Queueing Syst 56, 143–155 (2007). https://doi.org/10.1007/s11134-007-9019-8
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DOI: https://doi.org/10.1007/s11134-007-9019-8