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Petri Nets: Properties, Analysis and Applications


Gabriel Eirea


UC Berkeley


10/8/02


Based on paper by T. Murata



Outline



Introduction/History
Transition enabling & firing
Modeling examples
Behavioral properties
Analysis methods
Liveness, safeness & reachability
Analysis & synthesis of Marked Graphs
Structural properties
Modified Petri Nets


Introduction



Petri Nets

concurrent, asynchronous, distributed, parallel, nondeterministic
and/or stochastic systems
graphical tool

visual communication aid

mathematical tool

state equations, algebraic
equations, etc

communication between theoreticians and practitioners


History



1962:
C.A. Petris dissertation (U. Darmstadt, W. Germany)
1970:
Project MAC Conf. on Concurrent Systems and Parallel Computation (MIT,
USA)
1975:
Conf. on Petri Nets and related Methods (MIT, USA)
1979:
Course on General Net Theory of Processes and Systems (Hamburg, W. Germany)
1980:
First European Workshop on Applications and Theory of Petri Nets (Strasbourg,
France)