Title:  Theory and Applications of Petri Nets 

Code:  TAD 

Ac.Year:  2018/2019 

Sem:  Summer 

Curriculums:  

Language of Instruction:  Czech 

Completion:  examination (written&verbal) 

Type of instruction:  Hour/sem  Lectures  Seminar Exercises  Laboratory Exercises  Computer Exercises  Other 

Hours:  39  0  0  8  0 

 Exams  Tests  Exercises  Laboratories  Other 

Points:  70  0  0  0  30 



Guarantor:  Češka Milan, prof. RNDr., CSc. (DITS) 

Lecturer:  Češka Milan, prof. RNDr., CSc. (DITS) 
Instructor:  Češka Milan, prof. RNDr., CSc. (DITS) 

Faculty:  Faculty of Information Technology BUT 

Department:  Department of Intelligent Systems FIT BUT 

 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.  Description: 

  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:
 Basic notions and concepts of Petri nets theory.
 Classification of Petri nets models.
 Analysis of Condition/Event Petri nets based on case graphs.
 Processes of C/E Petri nets.
 Synchronic distances and facts..
 Analysis of P/T Petri nets by reachability tree.
 Invariants of P/T Petri nets and their applications.
 Petri nets languages.
 Marked graphs and Free choices Petri nets, Petri nets with inhibitors.
 Coloured and hierarchical Petri nets.
 Knowledge and skills required for the course: 

  Basic knowledge of discrete mathematics concepts including graph theory and formal languages concepts, basic concepts of algorithmic complexity, and principles of computer modelling.  Subject specific learning outcomes and competencies: 

  Theoretical and practical background for application of Petri nets and supporting tools in system modelling, design, and verification.  Generic learning outcomes and competencies: 

  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 computerbased systems.
 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  others, projects and individual work of students: 


 Essay based on selected scientific paper dealing with Petri net application in problems solved in student dissertation.
 Fundamental literature: 


 Reisich W.: Petri nets, Springer Verlag 1985
 Jensen K.: Coloured Petri nets, Springer Verlag 1993
 Češka M.: Petriho sítě, Akad.nakl. CERM, Brno 1994
 Study literature: 


 Reisich W.: Petri nets, Springer Verlag 1985
 Jensen K.: Coloured Petri nets, Springer Verlag 1993
 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 0262011891
 Unifying Petri Nets, Advances in Petri Nets, Ed.: Hartmut Ehrig, Gabriel Juhas, Julia Padberg, Grzegorz Rozenberg, SpringerVerlag Vol.: LNCS 2128, 485 pp., ISBN: 3540430679
 http://www.fit.vutbr.cz/study/courses/TI1/public/ti.pdf
 Controlled instruction: 

  Lectures and essay elaboration.  Progress assessment: 

  Short tests in lectures, state of essay elaboration.  
