The stationary distribution of the length of the queue in a system with non-ordinary flow and the discipline of processor sharing
Problemy analiza, no. 3 (1996), pp. 3-10
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In this paper a queue with one service device, requirements loss, bulk arrival and processor sharing discipline is considered. We have constructed discontinuous Marcovian process to describe behavior of analyzed queue using Erlangian phase method. The theorem has been proved about form of analitical solution of equilibrium equations and stable distribution of queue length has been obtained on that base.
@article{PA_1996_3_a0,
author = {O. Yu. Bogoyavlenskaya},
title = {The stationary distribution of the length of the queue in a system with non-ordinary flow and the discipline of processor sharing},
journal = {Problemy analiza},
pages = {3--10},
year = {1996},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/PA_1996_3_a0/}
}
TY - JOUR AU - O. Yu. Bogoyavlenskaya TI - The stationary distribution of the length of the queue in a system with non-ordinary flow and the discipline of processor sharing JO - Problemy analiza PY - 1996 SP - 3 EP - 10 IS - 3 UR - http://geodesic.mathdoc.fr/item/PA_1996_3_a0/ LA - ru ID - PA_1996_3_a0 ER -
O. Yu. Bogoyavlenskaya. The stationary distribution of the length of the queue in a system with non-ordinary flow and the discipline of processor sharing. Problemy analiza, no. 3 (1996), pp. 3-10. http://geodesic.mathdoc.fr/item/PA_1996_3_a0/