Multiclass Markovian fluid queues

Authors:
Hiroyuki Masuyama;Tetsuya Takine
Affiliations:
Department of Systems Science, Graduate School of Informatics, Kyoto University, Kyoto, Japan 606-8501;Department of Information and Communications Technology, Graduate School of Engineering, Osaka University, Suita, Japan 565-0871
Venue:
Queueing Systems: Theory and Applications
Year:
2007

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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.