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

Oleg TikhonenkoWojciech M. Kempa — 2016

International Journal of Applied Mathematics and Computer Science

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...

On the queue-size distribution in the multi-server system with bounded capacity and packet dropping

Oleg TikhonenkoWojciech M. Kempa — 2013

Kybernetika

A multi-server M / M / n -type queueing system with a bounded total volume and finite queue size is considered. An AQM algorithm with the “accepting” function is being used to control the arrival process of incoming packets. The stationary queue-size distribution and the loss probability are derived. Numerical examples illustrating theoretical results are attached as well.

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