Course details

Theory and Applications of Petri Nets

TAD Acad. year 2020/2021 Summer semester

Current academic year

Basic concepts of Petri nets, typical analysis problems, analysis methods, Petri net languages, restrictions and extensions of basic class of Petri nets, Coloured Petri nets, Hierarchical and Object oriented Petri nets, Petri nets tools, applications.

The state examination topics:

  1. Basic notions and concepts of Petri nets theory.
  2. Classification of Petri nets models.
  3. Analysis of Condition/Event Petri nets based on case graphs.
  4. Processes of C/E Petri nets.
  5. Synchronic distances and facts..
  6. Analysis of P/T Petri nets by reachability tree.
  7. Invariants of P/T Petri nets and their applications.
  8. Petri nets languages.
  9. Marked graphs and Free choices Petri nets, Petri nets with inhibitors.
  10. Coloured and hierarchical Petri nets.


Guarantor

Češka Milan, prof. RNDr., CSc.

Course coordinator

Janoušek Vladimír, doc. Ing., Ph.D. (DITS)

Language of instruction

Czech, English

Completion

Examination (written+oral)

Time span

  • 39 hrs lectures
  • 8 hrs pc labs

Assessment points

  • 70 pts final exam
  • 30 pts projects

Department

Department of Intelligent Systems (UITS)

Lecturer

Češka Milan, prof. RNDr., CSc.

Instructor

Češka Milan, prof. RNDr., CSc.
Janoušek Vladimír, doc. Ing., Ph.D. (DITS)

Subject specific learning outcomes and competences

Theoretical and practical background for application of Petri nets and supporting tools in system modelling, design, and verification.
Abilities to apply and develop advanced information technologies based on suitable formal models, to propose and use such models and theories for automating the design, implementation, and verification of computer-based systems.

Learning objectives

To understand the basic concepts and methods of system modelling using Petri nets, to adopt the Petri nets theory and applications in problems of system modelling, design, and verification. To gain practical experiences with representative Perti nets tools.

Prerequisite knowledge and skills

Basic knowledge of discrete mathematics concepts including graph theory and formal languages concepts,  basic concepts of algorithmic complexity, and principles of computer modelling.

Study literature

  • Češka M.: Petriho sítě, Akad.nakl. CERM, 1994
  • Wil van der Aalst and Kees van Hee: Workflow Management: Models, Methods, and Systems MIT Press, 368 pp., ISBN 0-262-01189-1 2004
  • Unifying Petri Nets, Advances in Petri Nets, Ed.: Hartmut Ehrig, Gabriel Juhas, Julia Padberg, Grzegorz Rozenberg, Springer-Verlag Vol.: LNCS 2128, 485 pp., ISBN: 3-540-43067-9 2001
  • http://www.fit.vutbr.cz/study/courses/TI1/public/ti.pdf
  • Reisig W.: Petri Nets: An Introduction. Springer-Verlag, Berlin, Heidelberg 1985
  • Jensen K.: Coloured Petri Nets, Springer Verlag 1993
  • Češka M.: Petriho sítě, Akad.nakl. CERM, Brno 1994
  • Jensen K.: Coloured Petri nets: modelling and validation, Springer Verlag, 2009
  • David R., Alla H,: Discrete, Continuos and Hybrid Petri Nets, Springer Verlag, 2010

Syllabus of lectures

  • Introduction to Petri nets, basic notions.
  • Condition/Event Petri nets.
  • Complementation, case graphs, and applications in C/E systems analysis.
  • Processes of C/E Petri nets, occurrences nets.
  • Properties of C/E Petri nets, synchronic distances, facts.
  • Place/Transition Petri nets, analysis problems.
  • Analysis of P/T Petri nets by reachability tree.
  • Invariants of P/T Petri nets.
  • Petri nets languages.
  • Marked graphs and Free choices Petri nets, Petri nets with inhibitors.
  • Coloured Petri nets, CPN Design, applications.
  • Analysis of Coloured Petri nets.
  • Hierarchical Coloured Petri nets and Object oriented Petri nets.

Syllabus of computer exercises

  • Tools for C/E and P/T Petri nets.
  • Tools for high-level Petri nets (CPN).
  • Tools for object-oriented Petri nets.
  • Tools for modeling and programming of control systems based on Petri nets.

Progress assessment

Short tests in lectures, state of essay elaboration.

Controlled instruction

Lectures and essay elaboration.

Course inclusion in study plans

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