Kybernetika 49 no. 6, 855-867, 2013

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

Oleg Tikhonenko and Wojciech M. Kempa


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.


AQM algorithms, loss probability, multi-server queueing system, queue-size distribution


90B22, 60K25


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