Investigation of queueing network with unreliable systems and large number of messages

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

Abstrakty

EN

The Markov network with unreliable queueing systems and a large number of messages is investigated. The service channels of systems are exposed to random failure, besides the time of the proper functionality and the time of reconstruction of each channel of system has the exponential distribution with distinctive parameters. The system of difference-differential equations of Kolmogorov for the states probabilities is compiled. The partial differential equation for the probability density function of the vector of states is deduced. The systems of ordinary differential equations for an average number of messages and serviceable channels of network systems are received.

Słowa kluczowe

EN

queueing network with unreliable systems; large number of message

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 1
• Strony: 85--97
• Opis fizyczny: Bibliogr. 3 poz., rys.

Twórcy

autor

Matalytski M.

autor

Statkevich S.

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

Bibliografia

• [1] Medvedev G.A., Closed queueing systems and their optimization, Proceedings of the USSR Academy of Sciences: Engineering Cybernetics, 1978, 6, 199-203 (in Russian).
• [2] Medvedev G.A., About optimization of closed queueing systems, Proceedings of the USSR Academy of Sciences: Engineering Cybernetics, 1975, 6, 65-73 (in Russian).
• [3] Parajev Y.I., Introduction Statistical Dynamics of Control Processes, Sov. Radio, Moskow 1976 (in Russian).