Analysis and optimization of Markov HM-networks with stochastic incomes from transitions between their states

• Autorzy: Matalycki M. , Koluzaewa K.
• Języki publikacji: EN

Abstrakty

EN

Expressions for expected incomes and variations of incomes in systems of Markov HM-networks, when service rates of messages are depending or not depending of network's states are obtained. The case when incomes of transitions between network's states are random variables with the set moments of first two orders is considered. Solution of some optimization problems for HM-networks are resulted.

Słowa kluczowe

EN

HM-networks; network systems; incomes; Jackson HM-network systems; optimization

PL

optymalizacja

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2008
• Tom: Vol. 7, nr 2
• Strony: 51--62
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Matalycki M.

autor

Koluzaewa K.

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

Bibliografia

• [1] Howard R., Dynamic programming and Markov processes, Moscow 1964 (in Russian).
• [2] Matalytski M., Pankov A., Incomes probabilistic models of the banking network, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology 2003, 1(2), 99-104.
• [3] Matalytski M., Pankov A., Analysis of stochastic model of the changing of incomes in the open banking network, Computer Science, Częstochowa University of Technology 2003, 3(5), 19-29.
• [4] Matalytski M., Pankov A., Probability analysis of incomes in banking networks, Westnik BSU 2004, 2, 86-91.
• [5] Matalytski M., Pankov A., Research of Markov queueing network with central system and incomes, Computer Science, Czestochowa University of Technology 2004, 4(7), 23-32.
• [6] Matalytski M., Pankov A., Investigation of incomes in Markov network with central system, Computer Science, Czestochowa University of Technology 2005, 5(8), 7-17 (in Russian).
• [7] Matalytski M., Pankov A., About income forecasting in closed Markov network with a central queueing system, Review of Applied and Industrial Mathematics 2006, 13(1), 123-125 (in Russian).
• [8] Matalytski M., Pankov A., Finding time-probabilistic characteristics of close Markov network with central system and incomes, Wiestnik GrUP 2006, 3(46), 22-28 (in Russian).
• [9] Matalytski M., Markov queueing networks with incomes and its applying, Westnik GrSU 2007, 3(57), 9-16 (in Russian).
• [10] Matalytski M., Koluzaeva E., About one reccurency method of analysis of mean values for open networks with one type messages, Westnik GrSU 2008, 2(63), 95-101 (in Russian).