This article is cited in 2 papers

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Multichannel queueing system in a random environment

A. V. Tkachenko<sup>ab

a</sup> Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b National Research University Higher School of Economics, Moscow

Abstract: This paper is focused on the multichannel queueing system with heterogeneous servers and regenerative input flow operating in a random environment. The environment can destroy the whole system and the system is reconstructed after that. The necessary and sufficient ergodicity condition of the system is obtained.

Key words: multichannel queueing system, regenerative input flow, random environment, ergodicity, stochastic boundedness.

UDC: 511

Received: 19.12.2012

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2014, 69:1, 37–40

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