Course detail

Model-Based Analysis

FIT-MBAAcad. year: 2025/2026

Introduction of model-base design, testing, analysis and model checking. Petri nets as a model of parallel systems. Techniques for analysis of Petri nets. Markov chains as a model of probabilistic systems. Techniques for analysis of Markov chains. Timed automata as a model of systems working with real-time. Techniques for analysis of timed automata. UML and SysML diagrams within model-based design and techniques for their analysis. Introduction to the tools for analysis of the presented models.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. Mgr. Adam Rogalewicz, Ph.D.

Department

Department of Intelligent Systems (UITS)

Entry knowledge

Basic knowledge of graph theory, formal languages concepts and automata theory. Basic knowledge of statistics and probability. Basic knowledge of software engineering.

Rules for evaluation and completion of the course

Three projects (10 points each), final exam (70 points).


3 projects, 10 points each.

Students have to achieve at least 30 points, otherwise the exam is assessed by 0 points.

Aims

Introduce students to the possibility of software (resp. hardware) quality assurance by creating its model, check correctness on the level of the model, and subsequently translate (sometimes automatelly) the model into the target programming language. These principles are introduced on four models, in particular: Petri nets, Markov chains, timed automata and UML/SysML diagrams.

Study aids

Not applicable.

Prerequisites and corequisites

Basic literature

Boucherie, R. J.(editor), van Dijk, N. M. (editor): Markov Decision Processes in Practice, Springer, 2017. ISBN-13: 978-3319477640 Dostupné online ze sítě VUT.
Christel Baier and Joost-Pieter Katoen: Principles of Model Checking, MIT Press, 2008. ISBN: 978-0-262-02649-9
Reisig, W.: Petri Nets, An Introduction, Springer Verlag, 1985. ISBN: 0-387-13723-8

Recommended reading

Češka, M.: Petriho sítě, Akad.nakl. CERM, Brno, 1994. ISBN: 8-085-86735-4
Jensen, K.: Coloured Petri Nets, Basic Concepts, Analysis Methods and Practical Use, Springer Verlag, 1993. ISBN: 3-540-60943-1
Kaynar, D.,  Lynch, N., Segala, R., Vaandrager, F. :The Theory of Timed I/O Automata, Morgan & Claypool, 2010.  ISBN-13: 978-1608450022 Dostupné online.

Classification of course in study plans

  • Programme MITAI Master's

    specialization NSEC , 0 year of study, summer semester, elective
    specialization NISY up to 2020/21 , 0 year of study, summer semester, elective
    specialization NNET , 0 year of study, summer semester, elective
    specialization NMAL , 0 year of study, summer semester, elective
    specialization NCPS , 0 year of study, summer semester, elective
    specialization NHPC , 0 year of study, summer semester, elective
    specialization NVER , 0 year of study, summer semester, compulsory
    specialization NIDE , 0 year of study, summer semester, elective
    specialization NISY , 0 year of study, summer semester, elective
    specialization NEMB , 0 year of study, summer semester, elective
    specialization NSPE , 0 year of study, summer semester, elective
    specialization NEMB , 0 year of study, summer semester, elective
    specialization NBIO , 0 year of study, summer semester, elective
    specialization NSEN , 0 year of study, summer semester, compulsory
    specialization NVIZ , 0 year of study, summer semester, elective
    specialization NGRI , 0 year of study, summer semester, elective
    specialization NADE , 0 year of study, summer semester, elective
    specialization NISD , 0 year of study, summer semester, elective
    specialization NMAT , 0 year of study, summer semester, elective

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. Mgr. Adam Rogalewicz, Ph.D.
Ing. Jan Fiedor, Ph.D.
doc. RNDr. Milan Češka, Ph.D.

Syllabus

  1. Introduction to the topic of model-based design, testing and analysis. The term model-checking.
  2. Petri nets. Basic terms, history and applications.
  3. P/T Petri nets, definition, evolution rules, state space, bacis problems of analysis.
  4. Analysis of P/T Petri nets, coveribility tree, P- and T- invariants.
  5. Extensions of P/T Petri nets and Coloured Petri nets. Decidability and relation to Turing machines. Tools NetLab a PIPE.
  6. Markov chains as a model of probabilistic systems, Markov chains in discrete and continuous time. Temporal logic for specification of behaviour of Markov chains.
  7. Analysis of Markov chains (model checking), the tool PRISM.
  8. Extension of Markov chains by nondeterminism - Markov decision processes. Use of Markov chains in theory of operation. Synthesis of operation for Markov decision processes.
  9. Timed automata and their use in modelling of systems with real-time.
  10. Timed automata analysis, region abstraction, decidable problems. Tool UPPAAL.
  11. Timed temporal logic TCTL and its relation to timed automata.
  12. UML/SysML diagrams and their use in model-based design and analysis.
  13. Model checking of systems described by UML (state) diagrams.

Exercise in computer lab

10 hod., compulsory

Teacher / Lecturer

doc. Mgr. Adam Rogalewicz, Ph.D.
Ing. Roman Andriushchenko

Syllabus

If applicable:
  1. Analysis of P/T Petri nets, tools NetLab a PIPE.
  2. Analysis of Markov chains, tool PRISM
  3. Analysis of timed automata, tool UPPAAL.

Project

16 hod., compulsory

Teacher / Lecturer

doc. Mgr. Adam Rogalewicz, Ph.D.
Ing. Roman Andriushchenko

Syllabus

  1. Application of Petri nets.
  2. Application of Markov chains.
  3. Application of timed automata.