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Abstrakty
Investigation of the closed three-level HM-network, which is the model of the production transportation in a logistic transport system, is conducted in this article. The approximated expression for the expected income of the central system and the system of the nonhomogeneous differential equations for an average number of messages in network systems, when the incomes from transitions between network’s states are random variables with the set moments of the first two orders, is received. The relation for variance of the income of the central system of network (system of the top level) is also received.
Rocznik
Tom
Strony
141--153
Opis fizyczny
Bibliogr. 16 poz., rys.
Twórcy
autor
- Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland
autor
- Faculty of Mathematics and Computer Science, Grodno State University Grodno, Belarus
Bibliografia
- [1] Brodetski L., Special modifications of criterion of a choice for optimization of chains of deliveries in the conditions of uncertainty, Logistics Today 2009, 3, 156-167 (in Russian).
- [2] Brodetski L., How to order orders in chains of deliveries taking into account decrease in tariffs of penalties, Logistics Today 2011, 3, 148-155 (in Russian).
- [3] Brodetski L., Tokarev E., Invariant to decrease of tariffs of penalties of model of optimization of an order of implementation of orders in chains of deliveries, Part II, Logistics 2012, 11, 50-54 (in Russian).
- [4] Guillen G., Mele F., Bagajewicz M., Espuna A., Puigjaner L., Multiobjective supply chain design under uncertainty, Chem. Eng. Sciences 2005, 6, 1535-1553.
- [5] Nerush Y., Commercial Logistics, Banks and Exchanges: YuNITI, M.: 1997, 272 p. (in Russian).
- [6] Oleynik A.V., Use of mathematical apparatus of the theory of mass service in logistic system of cross-border economic cooperation of the western region of Belarus, Logistics: current trends of development, II International Scientific and Practical Conference, St. Petersburg, 10-11 Apr. 2003, Theses of reports, 144-148 (in Russian).
- [7] Howard R., Dynamic Programming and Markov Processes, Soviet Radio, Moscow 1964, 110 p. (in Russian).
- [8] Matalytski M., Pankov A., Incomes probabilistic models of the banking network, Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology 2003, 1, 2, 99-104.
- [9] Matalytski M., Pankov A., About forecasting of the income in the closed Markov network with the central system, The Review of Applied and Industrial Mathematics 2006, 13, 1, 123-125 (in Russian).
- [10] Matalytski M., Tikhonenko O., Koluzayeva E., Systems and Networks of Mass Service: Analysis and Application, Monograph, GRGU, Grodno 2011, 818 p. (in Russian).
- [11] Matalytski M., Koluzaeva E., Analysis and optimization of Markov HM-networks with stochastic incomes from transitions between their states, Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology 2008, l, 7, 22-27.
- [12] Matalytski M., Koluzaeva E., Finding of expected incomes in open exponential networks of arbitrary architecture, Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology 2007, 1, 6, 179-190.
- [13] Matalytski M., Pankov A., Investigation of incomes in Markov network with central system, Computer Science 2005, 5, 8, 7-17.
- [14] Pankov A.V., The analysis of the expected income in the closed stochastic network with the central system, Vestnik GrGU, Series 2, Mathematics, Physics, Informatics, Computer Facilities and Management 2006, 2, 48-56 (in Russian).
- [15] Matalytski M.A., Koluzayeva E.V., Markov networks of mass service of any topology with the income, Reports of NAN RB 2009, 53, 3, 10-17 (in Russian).
- [16] Matalytski M.A., About some results of the analysis and optimization of Markov networks with the income and their application, Automatic Equipment and Telemechanics 2009, 10, 97-113 (in Russian).
Typ dokumentu
Bibliografia
Identyfikator YADDA
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