This paper deals with the control of discrete event systems modelled by the Max-plus algebra. This approach is used to describe processes whose dynamics are characterized by time delay and synchronization phenomena. Typical examples of these processes are assembly lines in manufacturing systems. The studied control problem is related to the just-in-time strategy for production planning. In this tutorial paper, several strategies based on the model reference control approach are presented, exemplified and discussed.
Discrete Event Systems; System Control; Justin-Time; Max-plus Algebra; Timed Event Graphs