A problem of broad interest–the estimation of the spectral gap for matrices or differential
operators (Markov chains or diffusions)–is covered in this book. The area has a wide range …

This paper is largely a review. It considers two main methods used to study stability and to
obtain appropriate quantitative estimates of perturbations of (inhomogeneous) Markov …

For finite, homogeneous, continuous-time Markov chains having a unique stationary
distribution, we derive perturbation bounds which demonstrate the connection between the …

The paper is devoted to the estimation of the rate of of exponential convergence of
nonhomogeneous queues exhibiting different types of ergodicity. The main tool of our study …

In this paper we consider nonhomogeneous birth and death processes (BDP) with periodic
rates. Two important parameters are studied, which are helpful to describe a …

We investigate a class of exponentially weakly ergodic inhomogeneous birth and death
processes. We consider special transformations of the reduced intensity matrix of the …

Bibliography Page 1 Bibliography [1] Abadov, ZA (1984) Asymptotical Expansions with Explicit
Estimation of Constants for Exponential Moments of Sums of Random Variables Defined on a …

Consideration is given to three different analytical methods for the computation of upper
bounds for the rate of convergence to the limiting regime of one specific class of (in) …

The first part of the paper is a review; it describes the proposed approach and gives the
general basis of the method constructed by one of the authors in the 1990s in order to obtain …

We consider time-inhomogeneous Markovian queueing models with batch arrivals and
group services. We study the mathematical expectation of the respective queue-length …