Investigation of HM-network with unreliable queueing systems and random incomes

• Autorzy: Matalycki M. , Statkiewicz S.
• Języki publikacji: EN

Abstrakty

EN

Expressions for expected incomes and variances in systems of HM (Howard-Matalytski)-queueing network are obtained. Queueing systems are unreliable, service channels in them are exposed to random failure. It is supposed, that service rate of messages, rate of work of serviceable channels and restoration rate of faulty channels depends on messages number in these systems. The case when incomes from transitions between network's states are random variables with the given moments of first two orders is thus considered.

Słowa kluczowe

EN

HM-network; incomes; network systems

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 2
• Strony: 173--192
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Matalycki M.

autor

Statkiewicz S.

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

Bibliografia

• [1] Koluzaeva E.V., Matalytski M.A., Analysis of incomes in open HM-networks of arbitrary architecture, Westnik GrSU 2008, 1, 22-29 (in Russian).
• [2] Matalytski M., Koluzaeva K., Analysis and optimization Markov HM-networks with stochastic incomes from transitions between their states, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology 2008, 1(7), 51 62.
• [3] Matalytski M.A., Koluzaeva E.V., Investigation of Marcov networks with incomes and different-type messages of many classes by convergence method, Papers of the National Academy of Science of Belarus, Minsk 2008, 4, 113-118 (in Russian).
• [4] Matalytski M.A., Koluzaeva E.V., Marcov queueing networks of arbitrary structure with incomes, Papers of the National Academy of Science of Belarus, Minsk 2009, 53(3), 10-17 (in Russian).
• [5] Matalytski M.A., Statkevich S.E., Systems of the difference-differential equations for expected incomes of HM-network with unreliable queueing systems, Probability Theory, Mathematical Statistic And Their Application, Minsk 2010, 3, 233-238 (in Russian).
• [6] Statkevich S.E., Investigation of HM-network with unreliable queueing systems, Westnik GrSU 2010, 2, 31-40 (in Russian).