Nonstationary analysis of the queueing network with bypass of systems of multi-type and absolute priority messages

• Autorzy: Matalytski M. , Naumenko V.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

multi-type messages bypass of systems; absolute priority; conditional probabilities of transitions; system of difference-differential equations; probability states; generating function

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 1
• Strony: 93--105
• Opis fizyczny: Bibliogr. 1 poz., rys.

Twórcy

autor

Matalytski M.

• Institute of Mathematics, Czestochowa University of Technology Czestochowa, Poland

autor

Naumenko V.

• Faculty of Mathematics and Computer Science, Grodno State University Grodno, Belarus

Bibliografia

• [1] Matalytski M., Naumenko, V. Analysis of the queueing network with messages bypass of systems in transient behavior, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology 2012, 11, 2, 71-83.