@inproceedings{e449b72336904fefa81eb6361218b365,
title = "On transient departure process in a finite-buffer queueing model with probabilistic packet dropping",
abstract = "Probabilistic packet dropping in dependence on the instantaneous buffer queue level at the pre-arrival epoch is one of Active Queue Management (AQM) mechanisms, used in IP routers for avoiding the risk of buffer overflow and for stabilizing the intensity of the input stream of packets. In the paper transient behavior of departure process h(t), counting packets which leave the service station before the fixed time t, is investigated in the GI/M/1/N queueing model with AQM-type probabilistic packet dropping. Using the approach based on the paradigm of embedded Markov chain and the total probability law, a system of Volterra integral equations for the distribution of h(t), conditioned by the number of packets present in the system initially, is obtained. The solution of the corresponding system written for 2-fold transforms of conditional distributions of h(t) is derived using the linear algebra approach. Illustrative numerical examples are attached as well.",
keywords = "Active Queue Management (AQM), Departure process, Finite-buffer queue, Packet dropping, Transient state",
author = "Kempa, \{Wojciech M.\}",
note = "Publisher Copyright: {\textcopyright} 2014 AIP Publishing LLC.; 40th International Conference of Applications of Mathematics in Engineering and Economics, AMEE 2014 ; Conference date: 08-06-2014 Through 13-06-2014",
year = "2014",
doi = "10.1063/1.4902456",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
pages = "42--49",
editor = "George Venkov and Vesela Pasheva",
booktitle = "AIP Conference Proceedings",
address = "United States",
}