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Optimal stationary behavior for a class of timed continuous Petri nets

Bruno Gaujal 1 Alessandro Giua
1 TRIO - Real time and interoperability
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : In this paper, we consider a deterministic timed continuous Petri net model where conflicts at places are solved by using stationary routing parameters. We show how to compute the stationary firing rate for all transitions via linear programming, so as to determine the optimal routing parameters that maximize user-defined linear functions of the firing rates. Finally, we discuss the relations with discrete Petri nets.
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https://hal.inria.fr/inria-00100141
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Submitted on : Tuesday, September 26, 2006 - 10:14:39 AM
Last modification on : Friday, February 4, 2022 - 3:22:18 AM

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Bruno Gaujal, Alessandro Giua. Optimal stationary behavior for a class of timed continuous Petri nets. Automatica, Elsevier, 2004, 40 (9), pp.1505-1516. ⟨inria-00100141⟩

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