Numerical solutions of Kendall and Pollaczek-Khintchin equations for exhaustive polling systems with semi-Markov delays
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MISHKOY, Gheorghe, BEJENARI, Diana, MITEV, Lilia, TICU, Ionela. Numerical solutions of Kendall and Pollaczek-Khintchin equations for exhaustive polling systems with semi-Markov delays. In: Computer Science Journal of Moldova, 2016, nr. 2(71), pp. 255-272. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 2(71) / 2016 / ISSN 1561-4042 /ISSNe 2587-4330

Numerical solutions of Kendall and Pollaczek-Khintchin equations for exhaustive polling systems with semi-Markov delays
CZU: [519.2+519.872.2]:004

Pag. 255-272

Mishkoy Gheorghe12, Bejenari Diana2, Mitev Lilia32, Ticu Ionela4
 
1 Academy of Sciences of Moldova,
2 Free International University of Moldova,
3 Institute of Mathematics and Computer Science ASM,
4 Constanta Maritime University
 
 
Disponibil în IBN: 2 septembrie 2016


Rezumat

Some analytical results for exhaustive polling systems with semi-Markov delays, such as Pollaczek-Khintchin virtual and steady state analog are presented. Numerical solutions for kbusy period, probability of states and queue length distribution are obtained. Numerical examples are presented.

Cuvinte-cheie
Polling systems with semi-Markov delays, Pollaczek-Khintchin formula, Kendall Equation, k-Busy Period, probability of states, queue length, numerical algorithms.

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<dc:creator>Mişcoi, G.C.</dc:creator>
<dc:creator>Bejenari, D.D.</dc:creator>
<dc:creator>Mitev, L.M.</dc:creator>
<dc:creator>Ţicu, R.</dc:creator>
<dc:date>2016-08-25</dc:date>
<dc:description xml:lang='en'>Some analytical results for exhaustive polling systems with semi-Markov delays, such as Pollaczek-Khintchin virtual and steady state analog are presented. Numerical solutions for kbusy period, probability of states and queue length distribution are obtained. Numerical examples are presented. </dc:description>
<dc:source>Computer Science Journal of Moldova 71 (2) 255-272</dc:source>
<dc:subject>Polling systems with semi-Markov delays</dc:subject>
<dc:subject>Pollaczek-Khintchin formula</dc:subject>
<dc:subject>Kendall Equation</dc:subject>
<dc:subject>k-Busy Period</dc:subject>
<dc:subject>probability of states</dc:subject>
<dc:subject>queue length</dc:subject>
<dc:subject>numerical algorithms.</dc:subject>
<dc:title>Numerical solutions of Kendall and
Pollaczek-Khintchin equations for exhaustive
polling systems with semi-Markov delays</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
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