Papers to the reports presented at the XXIX International Seminar on Stability Problems for Stochastic Models (Svetlogorsk Kaliningrad region, Russia, 10–16 October 2011)
A restriction on the total volume of demands in the discrete-time system Geo$/G/1/\infty$
Abstract:
Consideration is given to a discrete-time queueing system Geo$/G/1$ with inverse service discipline without service interruption, where each demand has random volume besides its length. The total volume of the demands in the queue is limited by a certain nonrandom value. The algorithms for the system main stationary characteristics evaluation are developed.
Keywords:queueing system; discrete time; length and volume of a demand.