Analysis of networks with time-dependent transition probabilities and messages bypass between the queuing systems

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

Abstrakty

EN

The object of investigation is an open exponential network with a messages bypass of systems in transient behavior. The purpose of the research is to find stationary probabilities of states and the average characteristics of the network when the transition probabilities between the messages and bypass systems of the network, parameters of the incoming flow of messages and services are time-dependent. To find the state probabilities and the characteristics of a network is used the apparatus for the multivariate generating functions. The examples are calculated on a computer.

Słowa kluczowe

EN

time-dependent networks; queuing systems; queuing network with messages bypass

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 4
• Strony: 93--104
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Matalytski M.

autor

Naumenko V.

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

Bibliografia

• [1] Ivnitsky V., Theory of Queuing Network. Monograph, Fizmatlit, Moscow 2004 (in Russian).
• [2] Malinkovsky Y., Queuing Networks with Bypass of Nodes. Automation and Remote Control1991, 2, 102-110 (in Russian).
• [3] Matalytski M., Queuing theory and its applications, Monograph., Grodno 2011.
• [4] Matalytski M., Naumenko V., Analysis of queueing network with messages bypass of systems in transient behavior, Scientific Research of the Institute of Mathematics and Computer Science 2012, 11(2).
• [5] Koluzaeva E., Finding the probabilities of states of models of information and computer networks with time-dependent parameters of flow and maintenance of operating under high load Vestnik GrSU. Ser. 2.2008, 3, 22-29 (in Russian).
• [6] Statkevich S., Investigation of queuing networks with unreliable systems in the transient behavior, Vestnik of Tomsk State University. Series: Management, Computer Science and Informatics. 2012, 1, 112-125 (in Russian).