Asymmetric simple exclusion process describing conflicting traffic flows

We use the asymmetric simple exclusion process for describing vehicular traffic flow at the intersection of two streets. No traffic lights control the traffic flow. The approaching cars to the intersection point yield to each other to avoid collision. This yielding dynamics is model by implementing exclusion process to the intersection point of the two chains. Closed boundary condition is applied to the streets. We utilize both mean-field approach and extensive simulations to find the model characteristics. In particular, we obtain the fundamental diagrams and show that the effect of interaction of two ASEP chains can be regarded as a dynamic impurity located at the intersection point. Moreover, the behavior of density profile is obtained and provides complimentary insight into the nature of system phase structure. Our results suggest that yielding mechanism give rises to a high overall flow capacity throughout the intersection especially in the low density regime.