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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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| The student knows essential for a sophisticated understanding of principles and methods used for dynamic system simulation. The student can create simulation models within technical fields, especially in manufacturing, and to realize simulation studies as a method of the practical application of simulation processes into extensive stochastic dynamic systems within different application fields. The student acquires the ability to practically realize his/her theoretical knowledge during practical experiments using a particular simulation software system. |
| describe the principles and methods used in the simulation of dynamic systems, |
| describe the principles and methods used in the simulation of dynamic systems, |
| The student knows essential for a sophisticated understanding of principles and methods used for dynamic system simulation. The student can create simulation models within technical fields, especially in manufacturing, and to realize simulation studies as a method of the practical application of simulation processes into extensive stochastic dynamic systems within different application fields. The student acquires the ability to practically realize his/her theoretical knowledge during practical experiments using a particular simulation software system. |
| describe the procedures for the formulation and creation of simulation models in the field of technical systems |
| describe the procedures for the formulation and creation of simulation models in the field of technical systems |
| explain methods and algorithms for solving simulation models of continuous systems |
| explain methods and algorithms for solving simulation models of continuous systems |
| explain methods and algorithms for solving simulation models of discontinuous systems |
| explain methods and algorithms for solving simulation models of discontinuous systems |
| describe the creation of a simulation study as a method of practical application of simulation procedures for solving problems in the field of analysis of large-scale stochastic dynamical systems |
| describe the creation of a simulation study as a method of practical application of simulation procedures for solving problems in the field of analysis of large-scale stochastic dynamical systems |
| Skills |
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| construct differential equations of selected continuous systems |
| construct differential equations of selected continuous systems |
| apply selected numerical methods for solving differential equations |
| apply selected numerical methods for solving differential equations |
| distinguish different probability distributions of a random variable and describe the basic statistical characteristics of these distributions |
| distinguish different probability distributions of a random variable and describe the basic statistical characteristics of these distributions |
| generate a set of random numbers from a given distribution of a random variable |
| generate a set of random numbers from a given distribution of a random variable |
| build a model of a discrete stochastic dynamic system in Witness |
| build a model of a discrete stochastic dynamic system in Witness |
| teaching methods |
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| Knowledge |
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| Exercises on PC |
| Practice exercises |
| Practice exercises |
| Exercises on PC |
| Monologic (Exposition, lecture, briefing) |
| Monologic (Exposition, lecture, briefing) |
| assessment methods |
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| Analysis of the student's performance |
| Written examination |
| Written examination |
| Analysis of the student's performance |
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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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