Phase diagrams of traffic flow at an unsignalized intersection

¹ Department of Mathematics and Physics, Anhui University of Architecture - Hefei 230601, PRC
² Department of Modern Physics, University of Science and Technology of China - Hefei 230026, PRC
³ School of Engineering Science, University of Science and Technology of China - Hefei 230026, PRC
⁴ Complex System Research Center, University of Shanghai for Science and Technology and Shanghai Academy of System Science - Shanghai 200093, PRC
⁵ Guangxi Teachers Education University - Nanning 530001, PRC

^(a) rjiang@ustc.edu.cn

Received: 20 March 2012
Accepted: 6 July 2012

Abstract

This paper studies phase diagrams of traffic flow at an unsignalized intersection consisting of two perpendicular one-lane roads, employing parallel update rules and yield dynamics. Based on theoretical analysis and computer simulations, we have presented the phase diagram for the cases of various maximum vehicle velocities, and it is found that the phase diagram has several different topology structures. The flow formulas in all regions in the phase diagram have been derived. The results of theoretical analysis are in good agreement with the simulation ones.