Investigation of HM-network with priority messages and depending on time incomes from transitions between its states

• Autorzy: Kiturko O. , Matalytski M.
• Języki publikacji: EN

Abstrakty

EN

In the article the technique of finding the expected income in multipleline queueing systems closed exponential by HM-network with priority messages in a case when the income from transitions between its states is random variables with known average values is described. The intensity of the service of messages in systems linearly depends on their number. The approached expressions for the expected income, depending on the average numbers of messages in systems are received. For them the system of the linear differential equations with broken right parts is made. The example is calculated.

Słowa kluczowe

EN

HM-network; incomes; priority messages

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 4
• Strony: 67--76
• Opis fizyczny: Bibliogr. 2 poz., rys.

Twórcy

autor

Kiturko O.

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

autor

Matalytski M.

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

Bibliografia

• [1] Matalytski M., Kiturko O., Czhornaja N., Finding expected incomes in HM-network with priority requests and linear time-dependent intensity of their service, Scientific Research of the Institute of Mathematics and Computer Science 2011, 2(10), 179-190.
• [2] Matalytski M., Tikhonenko O., Koluzaeva E., Queueing systems and networks: analysis and applications, GrSU, Grodno 2011 (in Russian).