- 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
Artykuł