This study is related to multi-agents modeling of complex systems. This interest deals more particularly with situation where the spatial and temporal components make a great part of the system to model (for example systems of production). Within the framework of this article, we will be interested in the production systems where the multi-agent systems are well suited to model phenomena in which the interactions between diverse entities are so complicated to be expressed by classic mathematical tools. This paper proposes an approach based on the producer consumer computing problem and Petri net tool to present an oriented Petri net...