Analysis of HM-networks with stochastic incomes from transitions between states

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

Abstrakty

EN

In article method of finding of expected incomes in systems of HM-network of arbitrary topology when incomes from transitions between network states are stochastic variables with given mean values is proposed. For expected incomes the system of linear non-homogeneous ordinary differential equations was obtained, to solve it we can find incomes in network systems.

Słowa kluczowe

EN

HM-networks; expected incomes; transitions between states

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2009
• Tom: Vol. 8, nr 2
• Strony: 105--118
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Matalycki M.

autor

Koluzaewa K.

• Institute of Mathematics, Czestochowa University of Technology, Poland

Bibliografia

• [1] Matalytski M.A., Pankov A.V. Application of operation calculus for the investigation of banking models, Proc. of 17 Int. Conf, Modern Mathematical Methods of Analysis and Optimization of Telecommunication Networks, BSU, Minsk 2003, 172-177.
• [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., Probability analysis of incomes in banking networks, Westnik BSU, 2004, 2, 86-91.
• [4] Howard R., Dynamic programming and Markov processes, Moscow, 1964 (in Russian).
• [5] Matalytski M., Koluzaeva E. Analysis and optimization of Markov HM-networks with stochastic incomes from transition between their states, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology 2008, 1(7), 51-62.
• [6] Matalytski M.A., Koluzaeva E.V., About methods of analysis and applications of queueing HM-networks, Review of Applied and Industrial Mathematics 2008, 3(15), 564-566 (in Russian).
• [7] Matalytski M., Pankov A., Analysis of the stochastic model of the changing of incomes in the open banking network, Computer Science 2003, 5, 19-29.
• [8] Matalytski M., Pankov A., Numerical analysis of the probabilistic model of incomes changing in banking network, Computer Science 2004, 6, 7-11.
• [9] Matalytski M., Koluzaeva K., Finding of expected incomes in open exponential networks of arbitrary architecture, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology 2007, 6, 179-190.
• [10] Koluzaeva E.V., Matalytski M.A., Analysis of incomes in open HM-networks of arbitrary architecture, Westnik GrSU, 2008, 1, 22-29 (in Russian).
• [11] Matalytski M.A., About some results of analysis and optimization of Markov networks with incomes and their application, Automatics and Remote Control 2009, 10 (in Russian).