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<dc:title xml:lang="pl"><![CDATA[Analysis of an MMAP/PH1, PH2/N/[ the sign of infinity] queueing system operating in a random environment]]></dc:title>
<dc:creator><![CDATA[Kim, Chesoong]]></dc:creator>
<dc:creator><![CDATA[Dudin, Alexander]]></dc:creator>
<dc:creator><![CDATA[Dudin, Sergey]]></dc:creator>
<dc:creator><![CDATA[Dudina, Olga]]></dc:creator>
<dc:subject xml:lang="pl"><![CDATA[random environment]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[marked Markovian arrival process]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[phase-type distribution]]></dc:subject>
<dc:subject xml:lang="pl"><![CDATA[Laplace-Stieltjes transform]]></dc:subject>
<dc:description xml:lang="pl"><![CDATA[A multi-server queueing system with two types of customers and an infinite buffer operating in a random environment as a model of a contact center is investigated. The arrival flow of customers is described by a marked Markovian arrival process. Type 1 customers have a non-preemptive priority over type 2 customers and can leave the buffer due to a lack of service. The service times of different type customers have a phase-type distribution with different parameters.]]></dc:description>
<dc:description xml:lang="pl"><![CDATA[To facilitate the investigation of the system we use a generalized phase-type service time distribution. The criterion of ergodicity for a multi-dimensional Markov chain describing the behavior of the system and the algorithm for computation of its steady-state distribution are outlined. Some key performance measures are calculated. The Laplace-Stieltjes transforms of the sojourn and waiting time distributions of priority and non-priority customers are derived. A numerical example illustrating the importance of taking into account the correlation in the arrival process is presented.]]></dc:description>
<dc:publisher><![CDATA[Zielona Góra: Uniwersytet Zielonogórski]]></dc:publisher>
<dc:contributor><![CDATA[Abaev, Pavel - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Razumchik, Rostislav - ed.]]></dc:contributor>
<dc:contributor><![CDATA[Kołodziej, Joanna - ed.]]></dc:contributor>
<dc:date><![CDATA[2014]]></dc:date>
<dc:type xml:lang="pl"><![CDATA[artykuł]]></dc:type>
<dc:identifier><![CDATA[http://www.zbc.uz.zgora.pl/repozytorium/Content/78960/AMCS_2014_24_3_3.pdf]]></dc:identifier>
<dc:identifier><![CDATA[https://zbc.uz.zgora.pl/repozytorium/dlibra/publication/88761/edition/78960/content]]></dc:identifier>
<dc:identifier><![CDATA[oai:zbc.uz.zgora.pl:78960]]></dc:identifier>
<dc:source xml:lang="pl"><![CDATA[AMCS, volume 24, number 3 (2014)]]></dc:source>
<dc:source xml:lang="pl"><![CDATA[https://www.amcs.uz.zgora.pl/?action=papers&issue=58]]></dc:source>
<dc:language><![CDATA[eng]]></dc:language>
<dc:relation><![CDATA[oai:zbc.uz.zgora.pl:publication:88761]]></dc:relation>
<dc:rights xml:lang="pl"><![CDATA[Biblioteka Uniwersytetu Zielonogórskiego]]></dc:rights>
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