Lecturer(s)
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Vašek Lubomír, doc. Ing. CSc.
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Chramcov Bronislav, doc. Ing. Bc. Ph.D.
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Krayem Said, prof. Ing. CSc.
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Course content
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1. System simulation introduction, basic terminology, problem classification 2. Models and system modeling, connection to modeling and simulation, simulation definition 3. Simulation studies and their phases 4. Simulation tools and simulation language 5. Modeling and Simulation of continuous dynamic systems 6. Differential equations as a model of continuous dynamic systems 7. Numerical methods for solution of differential equations 8. Solving of continuous simulation models within Simulink and Matlab software systems 9. Basic methods of modeling and simulation of discrete systems 10. Simulation controlled by events, compilation, and usage of events schedule 11. Modeling of stochastic systems, usage of statistical methods, 12. Random variables generating 13. Monte Carlo simulation method 14. Solving of discrete systems models within the Witness software system
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Learning activities and teaching methods
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Monologic (Exposition, lecture, briefing), Exercises on PC, Practice exercises
- Participation in classes
- 56 hours per semester
- Term paper
- 10 hours per semester
- Preparation for examination
- 10 hours per semester
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prerequisite |
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Knowledge |
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Knowledge of: Mathematic, especially mathematic analysis, numeric mathematic and statistic Object programming |
Knowledge of: Mathematic, especially mathematic analysis, numeric mathematic and statistic Object programming |
learning outcomes |
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principles and methods used for the dynamic simulation systems in particular |
principles and methods used for the dynamic simulation systems in particular |
procedures for creating simulation models in the field of technical, especially production systems |
procedures for creating simulation models in the field of technical, especially production systems |
individual steps of the simulation study as a method of the practical application of simulation procedures for solving tasks from the analysis of large-scale stochastic dynamic systems in various application areas |
individual steps of the simulation study as a method of the practical application of simulation procedures for solving tasks from the analysis of large-scale stochastic dynamic systems in various application areas |
mathematical methods for the simulation of continuous systems |
mathematical methods for the simulation of continuous systems |
procedures, methods and algorithms for the simulation of dynamic discrete (discontinuous) systems |
procedures, methods and algorithms for the simulation of dynamic discrete (discontinuous) systems |
Skills |
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construct the differential equation of selected continuous systems |
construct the differential equation of selected continuous systems |
apply selected numerical methods for solving differential equations |
apply selected numerical methods for solving differential equations |
distinguish different distributions of the probability of a random variable and describe the basic statistical characteristics of these distributions |
distinguish different distributions of the probability of a random variable and describe the basic statistical characteristics of these distributions |
generate a set of random numbers from a given random variable distribution |
generate a set of random numbers from a given random variable distribution |
create a model of a discrete stochastic dynamic system in the Witness environment |
create a model of a discrete stochastic dynamic system in the Witness environment |
teaching methods |
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Knowledge |
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Monologic (Exposition, lecture, briefing) |
Practice exercises |
Practice exercises |
Exercises on PC |
Monologic (Exposition, lecture, briefing) |
Exercises on PC |
assessment methods |
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Written examination |
Analysis of the student's performance |
Written examination |
Analysis of the student's performance |
Recommended literature
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Bangsow, Steffen. Use cases of discrete event simulation: appliance and research. Springer, 2012. ISBN 978-3-642-28776-3.
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Douša, J. Modelování na číslicových počítačích. Praha : ČVUT, 1990. ISBN 80-01-00447-3.
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Noskievič, P. Simulace systémů. Ostrava : VŠB-TU, 1996. ISBN 80-7078-112-2.
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Ralston, A. Základy numerické matematiky. Praha : Academia, 1973.
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Rubinstein, Reuven Y. Simulation and the Monte Carlo method. 2nd ed. Hoboken, N.J. : John Wiley & Sons, 2008. ISBN 978-0-470-17794-5.
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Vašek, L., Konečný, I. Simulace systémů. Brno : VUT, 1986.
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Vašek, Lubomír. Simulace systémů. 1. vyd. Brno : VUT, 1991. ISBN 8021402628.
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Vitásek, Emil. Numerické metody. 1. vyd. Praha : SNTL - Nakladatelství technické literatury, 1987.
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Zítek, P. Simulace dynamických systémů. Praha : SNTL, 1980.
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Zítek, Pavel. Matematické a simulační modely 1 : modely v komplexním oboru. 1. vyd. Praha : ČVUT, 2004. ISBN 8001023001.
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