Marking of Fluid Timed Events Graphs with Multipliers for a desired cycle time

We study fluid analogues of a subclass of petri nets, called Fluid Timed Event Graphs with Multipliers, which are a time extension of weighted T‐Systems studied in the Petri Net literature. These event graphs can be studied in the algebraic structure called (min, +) algebra. In this paper we deal with the problem of allocating an initial marking in a Fluid Timed Event Graphs with Multipliers for a desired cycle time. for that, to calculate the marking of some places, we proceed by linearization of the mathematical model reflecting the behavior of a FGETM in order to obtain a model (min, +) linear. From the latter, we determine the marking which satisfiers the desired cycle time .