A max plus algebra approach for modelling and control a supply chain

Studies on supply chain analysis have emphasised the importance of a good modelling technique and a good control. The supply chain systems belong to the class of discrete event systems (DES) subject to synchronisation phenomena. In this paper, we propose a timed event graph (TEG) which is very well adapted to model this kind of DES and we develop the control synthesis using the (max,+) algebra.