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Article

Multichannel queueing system in a random environment

Moscow University Mathematics Bulletin. 2014. Vol. 69. No. 1. P. 37-40.
Translator: V. Valedinskii.

This paper is focused on a 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 is obtained for the system.