- Tytuł:
- Nonstationary analysis of a queueing network with positive and negative messages
- Autorzy:
-
Matalytski, M.
Naumenko, V. - Powiązania:
- https://bibliotekanauki.pl/articles/122613.pdf
- Data publikacji:
- 2013
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
information systems
telecommunications systems
information networks
telecommunications networks
virus
open G-network with negative messages
transient behavior
system of difference-differential equations
probability states
generating function - Opis:
- This paper contains an investigation of an open queueing network with positive and negative messages that can be used to model the behavior of viruses in information and telecommunication systems and networks. The purpose of research is investigation of such a network at the transient behavior. We consider the case when the intensity of the incoming flow of positive and negative messages and service intensity of messages do not depend on time. It is assumed that all queueing systems of network are one-line. We obtained a system difference-differential equations for the state probabilities of the network. To find the state probabilities of the network in the transitional behavior applied a methodology based on the use of the apparatus of multidimensional generating functions. We obtained an expression for generating function. An example is calculated.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 2; 61-71
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł