Time-dependent state probabilities of queueing network with unreliable systems in transient regime

• Autorzy: Matalytski, M. , Statkevich, S.
• Języki publikacji: EN

Abstrakty

EN

The method of a multidimensional generating function for finding timedependent state probabilities of a open queuing network with unreliable systems is studied. Assuming that the network functions in the condition of heavy loading, the flow parameters of messages, servicing, duration of serviceable working and duration of restoration of channels are time-dependent. Such networks can serve as models of the functioning of the Local Area Network (LAN). Expressions for network state probabilities at any moment of time are obtained. An example for finding network state probabilities with a central system is considered.

Słowa kluczowe

EN

unreliable queueing systems; queueing network; multidimensional generating function

• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2011
• Tom: Vol. 10, nr 1
• Strony: 175-187
• Opis fizyczny: Bibliogr. 2 poz., rys.

Twórcy

autor

Matalytski, M.

autor

Statkevich, S.

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

Bibliografia

• [1] Matalytski M., Queueing networks at stationary and transient regime, Monograph, GrSU, Grodno2001 (in Russian).
• [2] Vishnevski V., Theory of computer network design, Moscow 2003 (in Russian).