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## Comparison of the modeling power of fluid stochastic Petri nets (FSPN) and hybrid Petri nets (HPN).

Bessey, Thomas;
Becker, Matthias
In:
*Proceedings of the second IEEE International Conference on Systems, Man and Cybernetics (SMC'02), October 6-9, 2002, Hammamet, Tunisia, Volume 2*.
IEEE Computer Society Press,
October 2002.

Abstract:
Two different types of timed Petri nets that contain continuous tokens
have been developed separately. Fluid stochastic Petri nets (FSPN) are
stochastic Petri nets enhanced by continuous places. Continuous places can
be filled from ordinary transitions, while the transitions are enabled by
discrete places. Hybrid Petri nets (HPN) are stochastic Petri nets
enhanced by continuous places and continuous transitions. both kinds of
transitions can be enabled by both kinds of places, and both kinds of
transitions can be connected by arcs to/from both kinds of places (of
course with some restrictions). Each of the continuous Petri net
formalisms provides interesting analysis methods, and both formalisms
experienced a lot of extensions on modeling level after their first
introduction. In this paper, we compare the modeling power of the basic
versions and of some extensions of both formalisms. As result we show,
that in general, FSPNs can be emulated with HPNs, and vice versa, however
depending on the versions considered. Thus, there is no essential
difference in both formalisms. A transformation of one type of net to the
other one can be found, if for some reason (e.g., use of different
analysis methods) the other formalism is to prefer.

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