2005 ·

A (Max, plus )-Linear Model for the Analysis of Urban Traffic Networks

Correia, Aurelien, Abbas-Turki, Abdel-Jalil, Bouyekhf, Rachid, El Moudni, Abdellah

Journal
Année
2005

Abstract

In this paper; we introduce a new model of urban traffic networks by using Timed Event Graphs (TEG). 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 a non-null initial marking problem inherent in dioid modeling. 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 street. An example is worked out to validate the model.