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Burst ratio in a single-server queue

Author

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  • Andrzej Chydzinski

    (Silesian University of Technology)

  • Dominik Samociuk

    (Silesian University of Technology)

Abstract

In contemporary packet networks, the possibility of packet loss is a negative, but inevitable aspect of the network design. One of the most important characteristics of the packet loss process is the burst ratio—a characteristic describing the tendency of losses to occur in long series, one after another. In this paper, we study the burst ratio in the queueing system with the finite buffer for packets. This is motivated by the fact, that most packet losses in wired networks occur due to queueing of packets in routers, and overflowing routers’ buffers. We firstly derive the exact formula for the burst ratio. Then we study its behaviour as the buffer size grows, and obtain a simplified formula for large buffers. Thirdly, we present numerical results for different system parameterizations as well as the comparison with simulation results. Then we show results of measurements of the burst ratio in the networking laboratory. Finally, we draw conclusions on the influence (or lack of it) of several factors on the burst ratio.

Suggested Citation

  • Andrzej Chydzinski & Dominik Samociuk, 2019. "Burst ratio in a single-server queue," Telecommunication Systems: Modelling, Analysis, Design and Management, Springer, vol. 70(2), pages 263-276, February.
    • Handle: RePEc:spr:telsys:v:70:y:2019:i:2:d:10.1007_s11235-018-0476-7
    DOI: 10.1007/s11235-018-0476-7
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    References listed on IDEAS

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    1. Andrzej Chydzinski & Pawel Mrozowski, 2016. "Queues with Dropping Functions and General Arrival Processes," PLOS ONE, Public Library of Science, vol. 11(3), pages 1-23, March.
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    Cited by:

    1. Chydzinski, Andrzej, 2022. "Per-flow structure of losses in a finite-buffer queue," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    2. Chydzinski, Andrzej, 2022. "On the structure of data losses induced by an overflowed buffer," Applied Mathematics and Computation, Elsevier, vol. 415(C).

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