<abstract xmlns="http://www.w3.org/1999/xhtml"><p> A queueing system of the M/G/n-type, n ≥ 1, with a bounded total volume is considered. It is assumed that the volumes of the arriving packets are generally distributed random variables. Moreover, the AQM-type mechanism is used to control the actual buffer state: each of the arriving packets is dropped with a probability depending on its volume and the occupied volume of the system at the pre-arrival epoch. The explicit formulae for the stationary queue-size distribution and the loss probability are found. Numerical examples illustrating theoretical formulae are given as well.</p></abstract>

A queueing system of the M/G/n-type, n ≥ 1, with a bounded total volume is considered. It is assumed that the volumes of the arriving packets are generally distributed random variables. Moreover, the AQM-type mechanism is used to control the actual buffer state: each of the arriving packets is dropped with a probability depending on its volume and the occupied volume of the system at the pre-arrival epoch. The explicit formulae for the stationary queue-size distribution and the loss probability are found. Numerical examples illustrating theoretical formulae are given as well.

Performance evaluation of an M/G/n-type queue with bounded capacity and packet dropping

Faculty of Mathematics and Natural Sciences Cardinal Stefan Wyszy´nski University in Warsaw, Wóycickiego 1/3, 01-938 Warsaw,

Institute of Mathematics Silesian University of Technology, Kaszubska 23, 44-100 Gliwice,

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A queueing system of the M/G/n-type, n ≥ 1, with a bounded total volume is considered. It is assumed that the volumes of the arriving packets are generally...

Performance evaluation of an M/G/n-type queue with bounded capacity and packet dropping

Article Category: Individual Article Information

Publié en ligne: 30 déc. 2016

Pages: 841 - 854

Reçu: 10 déc. 2015

Accepté: 06 juin 2016

DOI: https://doi.org/10.1515/amcs-2016-0060

© by Wojciech M. Kempa

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.