Numerical solutions of Kendall and
Pollaczek-Khintchin equations for exhaustive
polling systems with semi-Markov delays

Mishkoy Gheorghe; Bejenari Diana; Mitev Lilia; Ticu Ionela

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2022-10-18 03:26

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[519.2+519.872.2]:004 (1)

Probabilitate. Statistică matematică (74)

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Știința și tehnologia calculatoarelor. Calculatoare. Procesarea datelor (3301)

SM ISO690:2012

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

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

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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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