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arXiv · 1404.7067

Time Petri Nets with Dynamic Firing Dates: Semantics and Applications

Silvano Dal Zilio·Lukasz Fronc·Bernard Berthomieu·François Vernadat
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Abstract

We define an extension of time Petri nets such that the time at which a transition can fire, also called its firing date, may be dynamically updated. Our extension provides two mechanisms for updating the timing constraints of a net. First, we propose to change the static time interval of a transition each time it is newly enabled; in this case the new time interval is given as a function of the current marking. Next, we allow to update the firing date of a transition when it is persistent, that is when a concurrent transition fires. We show how to carry the widely used state class abstraction to this new kind of time Petri nets and define a class of nets for which the abstraction is exact. We show the usefulness of our approach with two applications: first for scheduling preemptive task, as a poor man's substitute for stopwatch, then to model hybrid systems with non trivial continuous behavior.

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Silvano Dal Zilio, Lukasz Fronc, Bernard Berthomieu, François Vernadat. 2014-04-28. Time Petri Nets with Dynamic Firing Dates: Semantics and Applications. https://doi.org/10.1007/978-3-319-10512-3_7

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