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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)