Limiting Characteristics of Queueing Systems with Vanishing Perturbations

We consider inhomogeneous continuous-time Markov chains with vanishing perturbations. It is proved that, under some natural conditions, the limiting regimes of the initial and perturbed chains coincide. We obtain explicit estimates, which allow construction of the limiting regime of the perturbed ch...

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Veröffentlicht in:	Doklady. Mathematics 2022-11, Vol.106 (2), p.375-379
Hauptverfasser:	Zeifman, A. I., Korolev, V. Yu, Razumchik, R. V., Satin, Ya. A., Kovalev, I. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Constraining Markov chains Mathematics Mathematics and Statistics Perturbation Queuing theory
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