Passive Robustness in Milk Manufacturing Unit with Time Constraints

This paper deals with the robustness of a milk manufacturing workshop including time interval constraints. In such systems operation times are included between a minimum and a maximum value. Weighted Marked Graphs are used for modeling. We recall some results proposing to transform Weighted Marked Graphs into Marked Graphs, in order to obtain a model, which can be used to apply some robustness results on a milk manufacturing unit. In the last part, a computing algorithm, of a lower bound of the maximal time disturbances allowed in a given point of the milk manufacturing workshop, is applied. The industrial example shows how results of P-time Model Graph can be extended to Weighted Marked Graphs.