Authors: Ayrat R. KHALIULLIN is assistant lecturer of the Department of Design and Operation of Gas and Oil Pipeline Gubkin Russian State University of Oil and Gas (National Research University). He is author of 10 academic papers. The area of his professional interests includes software for gas and oil computer decision support systems, computer simulators, distributed software.
Е-mail: khaliullin.a@gubkin.ru
Yuri P. STEPIN is Doctor of Engineering, Academician of Russian Academy of Natural Sciences, international engineering high school teacher, Professor of the Department of Automated Control Systems of Gubkin Russian State University of Oil and Gas (National Research University). He is author of more than 120 academic papers. His professional interests are Markov processes, multiobjective optimization, fuzzy logic, game theory, computer decision support systems, risk-management models, automated control systems design.
Е-mail: stepin.y@gubkin.ru
Sergey A. SARDANASHVILI is Doctor of Engineering, associate professor, Head of Department of Design and Operation of Gas and Oil Pipeline Gubkin Russian State University of Oil and Gas (National Research University). He is author of more than 50 academic papers. His professional interests include gas and oil computer decision support systems, mathematical and methodical support for programming and computing suites and simulator complexes.
Е-mail: sardanashvili.s@gubkin.ru
Abstract: The problem of mathematical modeling of computer simulator as a multicomponent realization of VPTE concept with components installed on remote computers in a network is discussed. The simulator complex is represented as a set of cooperative Markov processes with discrete states and continuous time. A random processes interaction scheme is formed, the states of processes are detailed; differential equations systems, initial conditions, normalization conditions and relations between equation solutions are made up. In addition, the article describes computer simulator operating modes, for each mode it determines evaluation of the complex functioning reliability index i.e. the availability factor. In collaboration with UML-diagrams, the mathematical functioning model of the computer simulator provides a possibility to describe its working process, to evaluate the parameters of the underlying Markov processes and to estimate the availability factor value.
Index UDK: 004.415.2; 51-74
Keywords: virtual professional training environment, computer simulator, mathematical model, Markov process, availability factor
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