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## A modeling and analysis tool for discrete event systems -- continuous Petri net.

Alla, H.;
David, R.
In:
*Performance Evaluation, Vol. 33, No. 3*, pages 175-199.
1998.

Abstract:
Autonomous and timed continuous Petri nets are defined. The autonomous
model is presented as a limit case of autonomous discrete Petri nets and
thus preserves most of the properties of classical Petri nets. A timed
continuous Petri net, with constant firing speeds associated with
transitions, is obtained from a timed discrete Petri net. This model has
interesting properties such as marking and firing invariants, but its main
interest is the construction of the evolution graph. This graph represents
the behavior of the system and contains a finite number of nodes, which
allows very short simulations duration in comparison with discrete model
simulations. The approximation given by the continuous model is often
satisfactory, especially in the case of large markings.

Keywords:
continuous Petri nets, continuous markings, continuous systems,
discrete-event systems, firing speed.

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