- Tytuł:
- Nonstationary analysis of the queueing network with bypass of systems of multi-type and absolute priority messages
- Autorzy:
-
Matalytski, M.
Naumenko, V. - Powiązania:
- https://bibliotekanauki.pl/articles/122976.pdf
- Data publikacji:
- 2013
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
multi-type messages bypass of systems
absolute priority
conditional probabilities of transitions
system of difference-differential equations
probability states
generating function - Opis:
- This paper contains an investigation of an open exponential network with bypass of systems of multi-type messages with absolute priority in transient behavior. Messages with priority received by the node with the probability depending on the state system and the type of incoming messages are for service, forcing messages that are serviced or instant changes in the following system, and can leave the network. Network settings: the intensity of the incoming flow and the intensity of service of different types of messages in single-line systems and the conditional probabilities of transitions of messages between the systems are dependent on the time. 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.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 1; 93-105
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł