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Packet loss characteristics for M/G/1/N queueing systems

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Listed:
  • Dieter Fiems
  • Stijn Vuyst
  • Sabine Wittevrongel
  • Herwig Bruneel

Abstract

In this contribution we investigate higher-order loss characteristics for M/G/1/N queueing systems. We focus on the lengths of the loss and non-loss periods as well as on the number of arrivals during these periods. For the analysis, we extend the Markovian state of the queueing system with the time and number of admitted arrivals since the instant where the last loss occurred. By combining transform and matrix techniques, expressions for the various moments of these loss characteristics are found. The approach also yields expressions for the loss probability and the conditional loss probability. Some numerical examples then illustrate our results. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • Dieter Fiems & Stijn Vuyst & Sabine Wittevrongel & Herwig Bruneel, 2009. "Packet loss characteristics for M/G/1/N queueing systems," Annals of Operations Research, Springer, vol. 170(1), pages 113-131, September.
    • Handle: RePEc:spr:annopr:v:170:y:2009:i:1:p:113-131:10.1007/s10479-008-0436-9
    DOI: 10.1007/s10479-008-0436-9
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    References listed on IDEAS

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    1. Ronald W. Wolff, 1982. "Poisson Arrivals See Time Averages," Operations Research, INFORMS, vol. 30(2), pages 223-231, April.
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    Cited by:

    1. V. Deepa & M. Haridass, 2023. "Simulation Analysis of a Base Station Using Finite Buffer M/G/1 Queueing System with Variant Sleeps," Methodology and Computing in Applied Probability, Springer, vol. 25(4), pages 1-18, December.

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