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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2001 Volume 2, Number 2, Pages 99–105 (Mi dvmg107)

This article is cited in 2 papers

Calculation of stationary distributions in adoptive queueing networks

M. A. Osipova, G. Sh. Tsitsiashvili, N. V. Koliev

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: Queueing networks with random varying intensities are convenient models of computer and telecommunication systems. A behaviour of these systems depends on human activity which intensity is defined by intradaily dynamics of physiological and mental indexes. So random current intensities of input flow and servicing for systems arranged in the same time zone are to be proportional. This hypothesis, called adoptation hypothesis, allows to make generalization of Jackson product theorem as for opened so for closed queueing networks. So it relieves analysis of queueing networks with varying intensities and makes its results more realistical.

UDC: 519.2

MSC: Primary 60k25; Secondary 60k30

Received: 26.03.2001



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