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Journal Articles Automatica Year : 2004

Optimal stationary behavior for a class of timed continuous Petri nets

Bruno Gaujal
Alessandro Giua
  • Function : Author

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.

Domains

Other [cs.OH]

Dates and versions

inria-00100141 , version 1 (26-09-2006)

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Bruno Gaujal, Alessandro Giua. Optimal stationary behavior for a class of timed continuous Petri nets. Automatica, 2004, 40 (9), pp.1505-1516. ⟨10.1016/j.automatica.2004.04.018⟩. ⟨inria-00100141⟩
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