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On the Distribution of the Queue Size in a Packet Buffer

Authors:
Blazej Adamczyk
Andrzej Chydzinski

Keywords: packet buffer; queue size distribution; passive buffer management; active buffer management.

Abstract:
We deal with the performance of the packet queueing mechanism at the output interface of a router. Specifically, we derive transient and stationary distribution of the queue size, which are fundamental performance characteristics of every queueing mechanism. The results are obtained directly in the time domain, without previous application of the Laplace transform, which is usually the case in the transient analysis. The model can be used for both passive buffer management (tail drop) and active buffer management, in which the dropping probability is a function of the queue size. It can be used also for traffic types of different statistical properties. Theoretical results are illustrated with numerical examples.

Pages: 4 to 9

Copyright: Copyright (c) IARIA, 2024

Publication date: April 14, 2024

Published in: conference

ISSN: 2308-3972

ISBN: 978-1-68558-147-3

Location: Venice, Italy

Dates: from April 14, 2024 to April 18, 2024