By Topic

Modeling and control of elementary 2D-Traffic systems using Petri nets and minplus algebra

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Nadir Farhi ; University of Texas at Dallas, 800 West Campbell Road, Richardson, 75080, USA

We present in this paper the modeling of an elementary 2D-Traffic system, basing on Petri nets and minplus algebra. Our aim is to derive fundamental diagrams of 2D-traffic on a system of one circular road with one junction without turn, taking shape of the number eight (8). The fundamental diagram is the relation between the flow and the density of vehicles on a road. Two possibilities of managing the junction are considered: using the priority-to-the-right rule, or using a signal traffic light control. We show that in both two cases, modeling a traffic junction needs the use of negative weights on Petri nets. Although our models are simplistic, they permit to obtain significant qualitative results. In the first case where the junction is managed by the priority-to-the-right rule, some analytical results are given, which are completed and confirmed by numerical results. The second case, where the junction is controlled by using a signal light, is solved analytically. The resulting fundamental diagrams are given and compared.

Published in:

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Date of Conference:

15-18 Dec. 2009