Transient Analysis of a Fluid Queue Driven by a Birth and Death Process Suggested by a Chain Sequence

@inproceedings{Parthasarathy2005TransientAO,
  title={Transient Analysis of a Fluid Queue Driven by a Birth and Death Process Suggested by a Chain Sequence},
  author={P. R. Parthasarathy and B. SERICOLA and K. V. Vijayashree},
  year={2005}
}
We analyse the transient behaviour of a fluid queue driven by a birth and death process (BDP) whose birth and death rates are suggested by a chain sequence. For the BDP suggested by a chain sequence, the stationary probabilities do not exist and hence the stationary buffer content distribution for fluid queues driven by such BDP does not exist. However, their transient distribution is obtained in a simple closed form by two different approaches: the first is the continued fraction approach and… CONTINUE READING

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