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<dc:title xml:lang="pl"><![CDATA[Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services]]></dc:title>
<dc:creator><![CDATA[Zeifman, Alexander]]></dc:creator>
<dc:creator><![CDATA[Razumchik, Rostislav]]></dc:creator>
<dc:creator><![CDATA[Satin, Yacov]]></dc:creator>
<dc:creator><![CDATA[Kiseleva, Ksenia]]></dc:creator>
<dc:creator><![CDATA[Korotysheva, Anna]]></dc:creator>
<dc:creator><![CDATA[Korolev, Victor]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[inhomogeneous birth and death processes]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[weak ergodicity]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[rate of convergence]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[sharp bounds]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[logarithmic norm]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[forward Kolmogorov system]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[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.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Aitouche, Abdel - ed.]]></dc:contributor>
<dc:date><![CDATA[2018]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/85807/AMCS_2018_28_1_11.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/100749/edition/85807/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:85807]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 28, number 1 (2018)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=107]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:100749]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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