Multiplexing On-Off Sources with Subexponential On Periods: Part 1

@inproceedings{Jelenkovic1997MultiplexingOS,
  title={Multiplexing On-Off Sources with Subexponential On Periods: Part 1},
  author={Predrag R. Jelenkovic and Aurel A. Lazar},
  booktitle={INFOCOM},
  year={1997}
}
We consider an aggregate arrival process AN obtained by multiplexing N On-Off sources with exponential Off periods of rate λ and generally distributed On periods τ on. When N goes to infinity, with λN → Λ, AN approaches an M/G/∞ type process. For a fluid queue with the limiting M/G/∞ arrivals At , regularly varying On periods with noninteger exponent, and capacity c, we obtain a precise asymptotic behavior of the queue length random variable Qt observed at the beginning of the arrival process… CONTINUE READING

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