Course: Simulation of Systems

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Course title Simulation of Systems
Course code AUIUI/AE9SS
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 5
Language of instruction Czech, English
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
Lecturer(s)
  • Vašek Lubomír, doc. Ing. CSc.
  • Chramcov Bronislav, doc. Ing. Bc. Ph.D.
  • Krayem Said, prof. Ing. CSc.
Course content
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

Learning activities and teaching methods
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
prerequisite
Knowledge
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
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
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
Knowledge
Monologic (Exposition, lecture, briefing)
Practice exercises
Practice exercises
Exercises on PC
Monologic (Exposition, lecture, briefing)
Exercises on PC
assessment methods
Written examination
Analysis of the student's performance
Written examination
Analysis of the student's performance
Recommended literature
  • Bangsow, Steffen. Use cases of discrete event simulation: appliance and research. Springer, 2012. ISBN 978-3-642-28776-3.
  • Douša, J. Modelování na číslicových počítačích. Praha : ČVUT, 1990. ISBN 80-01-00447-3.
  • Noskievič, P. Simulace systémů. Ostrava : VŠB-TU, 1996. ISBN 80-7078-112-2.
  • Ralston, A. Základy numerické matematiky. Praha : Academia, 1973.
  • Rubinstein, Reuven Y. Simulation and the Monte Carlo method. 2nd ed. Hoboken, N.J. : John Wiley & Sons, 2008. ISBN 978-0-470-17794-5.
  • Vašek, L., Konečný, I. Simulace systémů. Brno : VUT, 1986.
  • Vašek, Lubomír. Simulace systémů. 1. vyd. Brno : VUT, 1991. ISBN 8021402628.
  • Vitásek, Emil. Numerické metody. 1. vyd. Praha : SNTL - Nakladatelství technické literatury, 1987.
  • Zítek, P. Simulace dynamických systémů. Praha : SNTL, 1980.
  • Zítek, Pavel. Matematické a simulační modely 1 : modely v komplexním oboru. 1. vyd. Praha : ČVUT, 2004. ISBN 8001023001.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester