O. M. Tikhonenko, W. Kempa, “Queueing system with processor sharing and limited memory under control of the AQM mechanism”, Avtomat. i Telemekh., 2015, Issue 10,Pages <nobr>90

This article is cited in 10 papers

Stochastic Systems, Queuing Systems

Queueing system with processor sharing and limited memory under control of the AQM mechanism

O. M. Tikhonenko^a, W. Kempa^b

^a Cardinal Stefan Wyszynski University in Warsaw, Warsaw, Poland
^b Silesian University of Technology, Institute of Mathematics, Gliwice, Poland

Abstract: Consideration was given to the queueing system with processor sharing and limited memory which services random-capacity customers whose lengths depend on their capacities. The system performs the algorithm of active queue management, that is, at the instant of its arrival each customer can be rejected and dropped with a probability depending on the customer capacity and the total capacity of other customers sojourning in the system even if there is a free memory space available. The stationary distribution of the number of customers and the loss probability were determined for the system under consideration.

Presented by the member of Editorial Board: A. I. Lyakhov

Received: 10.10.2013