<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="https://www.zbc.uz.zgora.pl/repozytorium/style/common/xsl/oai-style.xsl"?>
<OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" 
         xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance"
         xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/
         http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd">
	<responseDate>2026-06-28T05:10:21Z</responseDate>
	<request identifier="oai:zbc.uz.zgora.pl:86098" metadataPrefix="oai_dc" verb="GetRecord">
	https://zbc.uz.zgora.pl/repozytorium/oai-pmh-repository.xml</request>
	<GetRecord>
	
  <record>
	<header>
		<identifier>oai:zbc.uz.zgora.pl:86098</identifier>
	    <datestamp>2025-07-16T10:08:21Z</datestamp>
		  <setSpec>DigitalLibraryZielonaGora</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:Faculties:FacultyComputerElectricalControl</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:ListJurnals:AMCS:AMCS20</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:Faculties</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:TypesWork</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:TypesWork:Articles</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:ListJurnals</setSpec> 	      <setSpec>DigitalLibraryZielonaGora:Repository:ListJurnals:AMCS</setSpec> 	    </header>
		<metadata>
	<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title xml:lang="pl"><![CDATA[On three methods for bounding the rate of convergence for some continuous-time Markov chains]]></dc:title>
<dc:creator><![CDATA[Zeifman, Alexander]]></dc:creator>
<dc:creator><![CDATA[Satin, Yacov]]></dc:creator>
<dc:creator><![CDATA[Kryukova, Anastasia]]></dc:creator>
<dc:creator><![CDATA[Razumchik, Rostislav]]></dc:creator>
<dc:creator><![CDATA[Kiseleva, Ksenia]]></dc:creator>
<dc:creator><![CDATA[Shilova, Galina]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[inhomogeneous continuous-time Markov chains]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[weak ergodicity]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Lyapunov functions]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[differential inequalities]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[forward Kolmogorov system]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[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)homogeneous continuous-time Markov chains. This class is particularly well suited to describe evolutions of the total number of customers in (in)homogeneous M/M/S queueing systems with possibly state-dependent arrival and service intensities, batch arrivals and services.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[One of the methods is based on the logarithmic norm of a linear operator function; the other two rely on Lyapunov functions and differential inequalities, respectively. Less restrictive conditions (compared with those known from the literature) under which the methods are applicable are being formulated. Two numerical examples are given. It is also shown that, for homogeneous birth-death Markov processes defined on a finite state space with all transition rates being positive, all methods yield the same sharp upper bound.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Korbicz, Józef (1951- ) - red.]]></dc:contributor>
<dc:contributor><![CDATA[Uciński, Dariusz - red.]]></dc:contributor>
<dc:date><![CDATA[2020]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/86098/AMCS_2020_30_2_5.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/101150/edition/86098/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:86098]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 30, number 2 (2020)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=116]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:101150]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
</oai_dc:dc>

</metadata>
	  </record>	</GetRecord>
</OAI-PMH>
