CONTROLLING A MODEL OF TRAFFIC LIGHTS BASED ON DIOIDS

In this paper, we introduce a new model of urban traffic networks by using Petri Nets. Based on dioid algebra, the behavior of the system is described by -linear equations. This will allow to approach the traffic control problems which rise issues of cycle times and of synchronization. As a result, we show how we can model shared resource problems inherent in Discrete Event dynamic System modelling. Moreover, we propose a control law based on Lawler algorithm for the traffic lights to minimize the maximum waiting time of cars. An example is worked out to deal with the control of the crossroad.