Modelling urban intersections in dioid algebra
Aurélien Corréïa, Abdeljalil Abbas‐Turki, Rachid Bouyekhf, Abdellah El Moudni · 2006
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 (Max, +)-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 solve shared resource problems inherent in dioid modelling. Besides, the proposed model provides us with interesting performance evaluations, such as real-time counts of vehicles and bounds of sojourn time in each part of the studied crossroad.