2007/11/08 by M. Ebrahim Foulaadvand, M. E. Foulaadvand, M. Neek-Amal +1 · 1 citation
Business, Management and Accounting · Engineering · Mathematics · Physics and Astronomy · #Advanced Queuing Theory Analysis #Stochastic processes and statistical mechanics #Traffic control and management #physics.soc-ph
paper · pdf · doi:10.1209/0295-5075/80/60002
published as Euro. Phys. Letters: 80, No 6, 60002 (2007) · 7 pages, 10 eps figures, Revtex
openalex publication_date 2007/11/08 · arxiv created 2008/01/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We use the asymmetric simple exclusion process for describing the vehicular traffic flow at the intersection of two streets. No traffic lights control the traffic flow. The cars approaching to the intersection point yield to each other to avoid collision. This yielding dynamics is modelled by implementing the exclusion process to the intersection point of the two streets. 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 between chains can be regarded as a dynamic impurity at the intersection point.