Overflow and loss probabilities in a finite ATM buffer fed by self-similar traffic

  • Authors:
  • Boris Tsybakov;Nicolas D. Georganas

  • Affiliations:
  • Qualcomm Inc., 6455 Lusk Blvd., San Diego, CA 92121, USA E-mail: borist@qualcomm.com;Multimedia Communications Research Laboratory, (MCRLab), School of Information Tech. & Engin. (SITE), University of Ottawa, Ottawa, Ontario, Canada K1N 6N5 E-mail: georganas@mcrlab.uottawa. ...

  • Venue:
  • Queueing Systems: Theory and Applications
  • Year:
  • 1999

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Abstract

In [13], real-time measurements from LANs, variable-bit-rate video sources, ISDN control-channels, the World Wide Web and other communication systems have shown that traffic exhibits a behaviour of self-similar nature. In this paper, we give new lower bounds to buffer-overflow and cell-loss probabilities for an ATM queue system with a self-similar cell input traffic and finite buffer. The bounds are better than those obtained in [20], in an important region of parameters. As in [20], they decay hyperbolically with buffer size, when the latter goes to infinity. However, in some region, a factor which accompanies the decay is higher in this paper than in [20].