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

  title={Multiplexing On-Off Sources with Subexponential On Periods: Part 1},
  author={Predrag R. Jelenkovic and Aurel A. Lazar},
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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Sur un mode de croissance régulière des fonctions

  • J. Karamata
  • Mathematica (Cluj), 4:38–53,
  • 1930
Highly Influential
6 Excerpts

Subexponential distributions and integrated tails

  • C. Klüppelberg
  • J. Appl. Probab., 25:132–141,
  • 1988
Highly Influential
3 Excerpts

A network multiplexer with multiple time scale and subexponential arrivals

  • P. R. Jelenković, A. A. Lazar
  • In P. Glasserman, K. Sigman, and D. D. Yao…
  • 1996
1 Excerpt

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