On the nonlinear dynamic behavior of unrelaxed timed Petri nets in idempotent semirings

Abderrahim Benfekir, Samir Hamaci, Abdel Moumen Darcherif, L. Laval, Mohamed Bouhamida · 2013

This paper deals with the analysis of dynamic behavior of Timed Event Graphs with Multipliers. These graphs are an extension of weighted T-systems studied in the Petri net literature. The purpose of this analyse is to extract the performances of a system by analyzing the dynamic of state associated of each transition of graph. For that, we determine the mathematical model governing the dynamic evolution of this type of graph, in a dioid of formal power series based on operators.

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