2010
DOI: 10.1109/itcs.2010.138
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Abstract: This paper studies a fluid model driven by an M/M/1 queue with single exponential vacation. The Laplace transform of the steady-state distribution of the buffer content is expressed through the minimal positive solution to a crucial quadratic equation. Then the performance measure-mean buffer content which is independent of the vacation parameter, is obtained. Finally, using some numerical examples, we present the parameter effect on the mean buffer content.