Asymptotic analysis of the closed network with time-dependent service parameters and single-type messages

• Autorzy: Matalytski M. , Rusilko T. , Pankov A.
• Języki publikacji: EN

Abstrakty

EN

A queueing network of any structure with single-type messages is considered in the paper. An asymptotic analysis of the network in case of large number of service requests conducted. It is suggested that the service parameters of each queueing system of the network, as well as the probability of messages transition between systems, depend on time. A system of ordinary differential equations to calculate the average relative number of messages in each queueing system, depending on the time, was obtained. There is one calculated example in the article.

Słowa kluczowe

EN

closed queueing network; queuing network theory; asymptotic analysis

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 4
• Strony: 105--112
• Opis fizyczny: Bibliogr. 4 poz., rys.

Twórcy

autor

Matalytski M.

autor

Rusilko T.

autor

Pankov A.

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

Bibliografia

• [1] Matalytski M., Rusilko T., Mathematical analysis of stochastic models of claims processing in insurance companies, GrSU, Grodno 2007.
• [2] Medvedev G., On the optimization of closed queuing system, Proceedings of the AS USSR, Technical Cybernetics 1975, 6, 65-73.
• [3] Paraev U., Introduction in Statistical Dynamics of Control and Filtration Processes, Sovetskoe Radio, Moscow 1976.
• [4] Rusilko T., Investigation of stochastic model of customer claims processing in the insurance company with a time-dependent parameters of service, Vesnik GrSU 2011, 2(3), 167-174.