Course details

Modelling and Simulation

IMS Acad. year 2022/2023 Winter semester 5 credits

Introduction to modelling and simulation concepts. System analysis and classification. Abstract and simulation models. Continuous, discrete, and hybrid models. Heterogeneous models. Using Petri nets in the simulation. Pseudorandom number generation and testing. Queuing systems. Monte Carlo method. Continuous simulation, numerical methods, Modelica language. Simulation experiment control. Visualization and analysis of simulation results.


Course coordinator

Language of instruction

Czech, English


Credit+Examination (written)

Time span

  • 39 hrs lectures
  • 4 hrs exercises
  • 9 hrs projects

Assessment points

  • 70 pts final exam (written part)
  • 10 pts mid-term test (written part)
  • 20 pts projects




Course Web Pages

Subject specific learning outcomes and competences

Knowledge of simulation principles. The ability to create simulation models of various types. Basic knowledge of simulation system principles.

Learning objectives

The goal is to introduce students to basic simulation methods and tools for modelling and simulation of continuous, discrete and hybrid systems.

Why is the course taught

The algorithms and basic principles of modelling and simulation are frequently used for electrical circuit simulation, queuing systems simulation, etc. The know-how can be used in other areas, too (for example computer games implementation).


Prerequisite knowledge and skills

Basic knowledge of numerical mathematics, probability, statistics, and basics of programming.

Technical equipment


  • Dymola, Modelica

  • volně dostupné
    • GCC, Octave, Scilab, SIMLIB/C++, OpenModelica

Study literature

  • Rábová Z. a kol: Modelování a simulace, VUT Brno, 1992, ISBN 80-214-0480-9
  • Peringer P.: Modelování a simulace, studijní opora, FIT/ESF, 2006
  • Texts available on course WWW page.
  • Fishwick P.: Simulation Model Design and Execution, PrenticeHall, 1995, ISBN 0-13-098609-7
  • Law A., Kelton D.: Simulation Modelling and Analysis, McGraw-Hill, 1991, ISBN 0-07-100803-9
  • Ross, S.: Simulation, Academic Press, 2002, ISBN 0-12-598053-1
  • Modelica - A Unified Object-Oriented Language for Systems Modeling - Language Specification, Version 3.4, Modelica Association, 2017
  • Modelica - A Unified Object-Oriented Language for Systems Modeling -
    Language Specification, Version 3.4, Modelica Association, 2017

Syllabus of lectures

  1. Introduction to modelling and simulation. System analysis, classification of systems. Basic introduction to systems theory.
  2. Model classification: conceptual, abstract, and simulation models. Multimodels. Basic methods of model building.
  3. Simulation systems and languages, basic means of model and experiment description. Principles of simulation system implementation.
  4. Generating, transformation, and testing of pseudorandom numbers. Stochastic models, Monte Carlo methods.
  5. Parallel process modelling. Using Petri nets in simulation.
  6. Models o queuing systems. Discrete simulation models.
  7. Time and simulation experiment control, "next-event" algorithm.
  8. Cellular automata and simulation.
  9. Continuous systems modelling. Overview of numerical methods for continuous simulation. Introduction to Modelica.
  10. Combined/hybrid simulation, state events. Modelling of digital systems.
  11. Special model classes, models of heterogeneous systems, model parameters optimization overview.
  12. Analytical solution of queuing system models.
  13. Checking of model validity, verification of models. Analysis of simulation results.

Syllabus of numerical exercises

  1. discrete simulation: using Petri nets
  2. continuous simulation: differential equations, block diagrams, examples of models

Syllabus - others, projects and individual work of students

Individual selection of a suitable problem, its analysis, simulation model creation, experimenting with the model, and analysis of results.

Progress assessment

project, midterm exam, final exam (written) Exam prerequisites: At least 10 points you can get during the semester

Controlled instruction

Within this course, attendance on the lectures is not monitored. The knowledge of students is examined by the projects and by the final exam. The minimal number of points which can be obtained from the final exam is 30. Otherwise, no points will be assigned to a student.

Exam prerequisites

At least 10 points you can get during the semester


Tue lecture 1., 6., 7., 8., 9., 10., 11., 12., 13. of lectures D0206 D105 18:0020:509999 3BIT 10 - 19 Peringer
Tue lecture 2., 3., 4., 5. of lectures D0206 D105 18:0020:509999 3BIT 10 - 19 Hrubý
Wed exam 2023-01-11 D0206 D0207 D105 14:0017:50řádná
Wed exam 2023-01-25 D0206 D0207 D105 16:0017:301. oprava
Wed exam 2022-11-09 D105 19:0021:00Půlsemestrální písemka
Wed exercise 4., 5., 6., 7., 8. of lectures D0206 D105 19:0020:509999 3BIT 10 - 19 Hrubý Demo cvičení budou jen 4* + 1* půlsemestrální zk. (za vše odpovídá M. Hrubý).
Fri exam 2023-02-03 E104 E105 E112 11:0012:302. oprava

Course inclusion in study plans

  • Programme BIT, 3rd year of study, Compulsory
  • Programme BIT (in English), 3rd year of study, Compulsory
  • Programme IT-BC-3, field BIT, 3rd year of study, Compulsory
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