Phase diagrams of traffic flow at an unsignalized intersection

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.

Emergence of bistable states and phase diagrams of traffic flow at an unsignalized intersection

“…[24][25][26][27][28]. Nowadays, phase diagrams of traffic states induced by intersection bottlenecks have been frequently presented [29][30][31][32][33][34][35]. Some physicists have notably attempted to model and simulate the traffic flow at intersections including unsignalized and signalized intersections, roundabouts [29][30][31][32][33][34][35][36][37][38][39].…”

“…Nowadays, phase diagrams of traffic states induced by intersection bottlenecks have been frequently presented [29][30][31][32][33][34][35]. Some physicists have notably attempted to model and simulate the traffic flow at intersections including unsignalized and signalized intersections, roundabouts [29][30][31][32][33][34][35][36][37][38][39]. In the studies of unsignalized intersections [29][30][31][32][33][34], some scholars usually focus on a simple intersection which consists of two perpendicular one-lane roads: a northbound road and an eastbound one, which cross at the intersection point (i = 0) as shown in Fig.…”

“…In Refs. [29][30][31][32], parallel update rules are employed. At each time step, all the vehicles on both roads are also updated simultaneously.…”

“…Moreover, it is noted that the deterministic Fukui-Ishibashi (FI) is used to simulate the motion of vehicles in Refs. [29][30][31][32][33][34][35].…”

Modeling gridlock at roundabout

“…Vehicles take turn to access the intersection. Typical examples are stop sign and traffic signal [4][5][6]. Schemes in the second category aim to avoid the full stop of any vehicle.…”