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.
@article{bwmeta1.element.bwnjournal-article-amcv26i4p841bwm,
author = {Oleg Tikhonenko and Wojciech M. Kempa},
title = {Performance evaluation of an M/G/n -type queue with bounded capacity and packet dropping},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {26},
year = {2016},
pages = {841-854},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv26i4p841bwm}
}
Oleg Tikhonenko; Wojciech M. Kempa. Performance evaluation of an M/G/n -type queue with bounded capacity and packet dropping. International Journal of Applied Mathematics and Computer Science, Tome 26 (2016) pp. 841-854. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv26i4p841bwm/
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