English

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

Probability 2021-05-13 v1

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.

Keywords

Cite

@article{arxiv.2105.05703,
  title  = {Bounds on the Rate of Convergence for $M^X_t/ M^X_t/1$ Queueing Models},
  author = {Alexander Zeifman and Yacov Satin and Alexander Sipin},
  journal= {arXiv preprint arXiv:2105.05703},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1911.04086