Multichannel service systems in a random medium / A. V. Tkachenko. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 1. P. 53-57 [Moscow Univ. Math. Bulletin. Vol. 69, N 1, 2014.].
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.