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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2018 Volume 18, Number 1, Pages 123–126 (Mi dvmg374)

This article is cited in 1 paper

Application of multi-server queuing systems with failures to the construction of telecommunication networks

G. Sh. Tsitsiashviliab, M. A. Osipovaab, K. E. Samouylovcd, Yu. V. Gaidamakacd

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
c Peoples Friendship University of Russia, Moscow
d Federal Research Center ‘Informatics and Control’ of Russian Academy of Science

Abstract: In this note, we construct an estimate of the convergence rate to zero of the probability of failure in multi-server queuing system, that simulates a telecommunication network in the pursuit of large numbers of servers and load. In accordance with this, the problem of resource sharing between different users of the telecommunication network is solved.

Key words: multi-server queuing system with failures, telecommunication network, models of teletraffic.

UDC: 519.217.2+004.742.2

MSC: 60J28

Received: 10.04.2018



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