Stationary distributions for a class of Markov-modulated tandem fluid queues

@inproceedings{OReilly2017StationaryDF,
  title={Stationary distributions for a class of Markov-modulated tandem fluid queues},
  author={Małgorzata M. O’Reilly and Willem R.W. Scheinhardt},
  year={2017}
}
We consider a model consisting of two fluid queues driven by the same background continuous-time Markov chain, such that the rates of change of the fluid in the second queue depend on whether the first queue is empty or not: when the first queue is nonempty, the content of the second queue increases, and when the first queue is empty, the content of the second queue decreases.We analyze the stationary distribution of this tandem model using operator-analytic methods. The various densities (or… CONTINUE READING

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