Marked Graphs (Event Graphs)

Description

Definition

Examples

References

 

 

 

Description:

Marked or event graphs are Petri Nets with the following restriction: each place can have at most one input and one output with each arc weighing 1. Thus we can eliminate places altogether identify transitions with events and end up with a simple event graph - an analog of state automaton.

 

Another names commonly used for those is a classical task graph.

Formal Definition:

A Marked or Event Graph is a 4-tuple

                                                            (I, E, f, e0)

where

I – is an input set of time durations

E – is a finite set of events

fis an event transition function.

e0 – is initial event.

 

Examples:

 

References:

1.      K.Kant, Introduction to computer system performance evaluation, McGraw-Hill, 1992.