- Tytuł:
- Asymptotic analysis of a closed G-network of unreliable nodes
- Autorzy:
- Rusilko, Tatiana
- Powiązania:
- https://bibliotekanauki.pl/articles/2175521.pdf
- Data publikacji:
- 2022
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
G-network
unreliable queueing systems
positive customer
negative customer
birth-death process
asymptotic analysis
queueing network
sieć G
proces narodzin i śmierci
analiza asymptotyczna
sieci kolejkowe - Opis:
- A closed exponential queueing G-network of unreliable multi-server nodes was studied under the asymptotic assumption of a large number of customers. The process of changing the number of functional servers in network nodes was considered as the birth-death process. The process of changing the number of customers at the nodes was considered as a continuous-state Markov process. It was proved that its probability density function satisfies the Fokker-Planck-Kolmogorov equation. The system of differential equations for the first-order and second-order moments of this process was derived. This allows us to predict the expectation, the variance and the pairwise correlation of the number of customers in the G-network nodes both in the transient and steady state.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 2; 91--102
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł