Optimal stationary behavior for a class of timed continuous Petri nets

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 tha...

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Bibliographic Details
Published in:Automatica (Oxford) 2004-09, Vol.40 (9), p.1505-1516
Main Authors: Gaujal, Bruno, Giua, Alessandro
Format: Article
Language:English
Subjects:
Applied sciences
Computer Science
Computer science
control theory
systems
Continuous Petri nets
Control theory. Systems
Exact sciences and technology
Optimal control
Optimal routing
Other
Stationary behavior
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Summary: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.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2004.04.018