Bounds on the Rate of Convergence for \(M^X_t/ M^X_t/1\) Queueing Models

Bounds on the Rate of Convergence for \(M^X_t/ M^X_t/1\) Queueing Models

We apply the method of differential inequalities for the computation of upper bounds for the rate of convergence to the limiting regime for one specific class of (in)homogeneous continuous-time Markov chains. To obtain these estimates, we investigate the corresponding forward system of Kolmogorov di...

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Veröffentlicht in:arXiv.org 2021-05
Hauptverfasser: Zeifman, Alexander, Satin, Yacov, Sipin, Alexander
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Differential equations
Markov chains
Upper bounds
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Zusammenfassung:We apply the method of differential inequalities for the computation of upper bounds for the rate of convergence to the limiting regime for one specific class of (in)homogeneous continuous-time Markov chains. To obtain these estimates, we investigate the corresponding forward system of Kolmogorov differential equations.
ISSN:2331-8422