Temat: state probabilities - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Investigation of G-network with signals at transient behavior
Autorzy:: Matalytski, M.
Naumenko, V.
Powiązania:: https://bibliotekanauki.pl/articles/122904.pdf
Data publikacji:: 2014
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: G-queueing network
transient behavior
state probabilities
generating function
stan nieustalony
funkcja generująca
Opis:: G-queueing network with positive messages and signals at transient behavior is considered. A system of difference-differential equations for the state probabilities of the network is obtained. To find them and the average characteristics of the network a technique was applied based on the use of apparatus of multivariate generating functions. An expression for the generating function was obtained. An example is calculated.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 1; 75-86
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Finding the probabilistically-temporal characteristics of Markov G-network with batch removal of positive customers
Autorzy:: Matalytski, M.
Naumenko, V.
Kopats, D.
Powiązania:: https://bibliotekanauki.pl/articles/122998.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: G-network
positive and negative customers
customers batch removal
nonstationary regime
generation function
state probabilities
teoria kolejek
systemy kolejkowe
pozytywny klient
Opis:: The investigation of a Markov queueing network with positive and negative customers and positive customers batch removal has been carried out in the article. The purpose of the research is analysis of such a network at the non-stationary regime, finding the time-dependent state probabilities and mean number of customers. In the first part of this article, a description of the G-network operation is provided with one-line queueing systems. When a negative customer arrives to the system, the count of positive customers is reduced by a random value, which is set by some probability distribution. Then for the non-stationary state probabilities a Kolmogorov system was derived of differencedifferential equations. A technique for finding the state probabilities and the mean number of customers of the investigated network, based on the use of an apparatus of multidimensional generating functions has been proposed. The theorem about the expression for the generating function has been given. A model example has been calculated.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 125-136
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Analysis of the queueing network with a random waiting time of negative customers at a non-stationary regime
Autorzy:: Naumenko, V.
Matalytski, M.
Kopats, D.
Powiązania:: https://bibliotekanauki.pl/articles/122923.pdf
Data publikacji:: 2016
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: G-network
positive customers
negative customers
random waiting time
heavy-traffic regime
state probabilities
mean characteristics
non-stationary regime
sieci kolejkowe
sieć G
pozytywny klient
negatywny klient
czas oczekiwania
równania różniczkowe
Opis:: In the article a queueing network (QN) with positive customers and a random waiting time of negative customers has been investigated. Negative customers destroy positive customers on the expiration of a random time. Queueing systems (QS) operate under a heavy-traffic regime. The system of difference-differential equations (DDE) for state probabilities of such a network was obtained. The technique of solving this system and finding mean characteristics of the network, which is based on the use of multivariate generating functions was proposed.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 3; 111-122
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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