@misc{Zeifman_Alexander_Bounds,
 author={Zeifman, Alexander and Razumchik, Rostislav and Satin, Yacov and Kiseleva, Ksenia and Korotysheva, Anna and Korolev, Victor},
 howpublished={online},
 publisher={Zielona Góra: Uniwersytet Zielonogórski},
 language={eng},
 abstract={In this paper we present a method for the computation of convergence bounds for four classes of multiserver queueing systems, described by inhomogeneous Markov chains. Specifically, we consider an inhomogeneous ?M/M/S? queueing system with possible state-dependent arrival and service intensities, and additionally possible batch arrivals and batch service. A unified approach based on a logarithmic norm of linear operators for obtaining sharp upper and lower bounds on the rate of convergence and corresponding sharp perturbation bounds is described. As a side effect, we show, by virtue of numerical examples, that the approach based on a logarithmic norm can also be used to approximate limiting characteristics (the idle probability and the mean number of customers in the system) of the systems considered with a given approximation error.},
 type={artykuł},
 title={Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services},
 keywords={inhomogeneous birth and death processes, weak ergodicity, rate of convergence, sharp bounds, logarithmic norm, forward Kolmogorov system},
}