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arXiv · 2105.05703

Bounds on the Rate of Convergence for $M^X_t/ M^X_t/1$ Queueing Models

Alexander Zeifman·Yacov Satin·Alexander Sipin
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Abstract

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.

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Alexander Zeifman, Yacov Satin, Alexander Sipin. 2021-05-12. Bounds on the Rate of Convergence for $M^X_t/ M^X_t/1$ Queueing Models. https://arxiv.org/abs/2105.05703

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