Cellular automaton simulations of a four-leg intersection with two-phase signalization

In this paper, we present a cellular automaton (CA) simulation of a signalized intersection. When there is no exclusive lane for left-turn vehicles, through vehicles and left-turn vehicles have to share one lane. Under such situation usually two-phase signalization is adopted, and the conflicts between the two traffic streams need to be analyzed. We use a refined configuration for the intersection simulation: the geometry of the intersection has been considered and vehicles are assumed to move along 1/4 circle arcs. We focus on the averaged travel times on left lanes and their distributions. The diagrams of intersection approach capacities (IACs) and the corresponding phase diagrams are also presented, which depend on the approach flow rates and the percentage of left-turn vehicles. Besides, we find that the minimum green time could be determined by finding out the critical value for the travel times.

[1]  L. Craig Davis,et al.  Introduction to Modern Traffic Flow Theory and Control: The Long Road to Three-Phase Traffic Theory , 2009 .

[2]  Balqies Sadoun.  An Efficient Simulation Methodology for the Design of Traffic Lights at Intersections in Urban Areas , 2003, Simul..

[3]  S. Wolfram.  Statistical mechanics of cellular automata , 1983 .

[4]  Carlos Gershenson,et al.  Self-organizing traffic lights at multiple-street intersections , 2011, Complex..

[5]  Hesham Rakha,et al.  Sensitivity Analysis of Transit Signal Priority Impacts on Operation of a Signalized Intersection , 2004 .

[6]  Wei Wang,et al.  The influence of nonmonotonic synchronized flow branch in a cellular automaton traffic flow model , 2011 .

[7]  Ziyou Gao,et al.  The capacity drop caused by the combined effect of the intersection and the bus stop in a CA model , 2007 .

[8]  M. Reza Shaebani,et al.  Optimized traffic flow at a single intersection: traffic responsive signalization , 2004 .

[9]  Tom V. Mathew,et al.  Calibration of Microsimulation Models for Nonlane-Based Heterogeneous Traffic at Signalized Intersections , 2010 .

[10]  Young-Jun Kweon,et al.  Disaggregate Safety Evaluation for Signalized Intersections and an Evaluation Tool , 2012 .

[11]  R. Mousa.  Simulation Modeling and Variability Assessment of Delays at Traffic Signals , 2003 .

[12]  王炜,et al.  Effect of acceleration threshold on the phase transition in a cellular automaton traffic flow model , 2011 .

[13]  D. Helbing.  Traffic and related self-driven many-particle systems , 2000, cond-mat/0012229.

[14]  Rahim F. Benekohal,et al.  Development and Validation of Arrival-Based Uniform Delay Models for Oversaturated Signalized Intersections , 2011 .

[15]  Hannes Hartenstein,et al.  Vehicular Traffic Flow Theory: Three, Not Two Phases [review of "Introduction to Modern Traffic Flow Theory and Control: The Long Road to Three-Phase Traffic Theory; Kerner, B.S.; 2009) ] , 2010, IEEE Vehicular Technology Magazine.

[16]  Boris S. Kerner,et al.  Introduction to Modern Traffic Flow Theory and Control: The Long Road to Three-Phase Traffic Theory , 2009 .

[17]  Xiao-Yan Sun,et al.  TRAFFIC FLOW AT A SIGNAL CONTROLLED T-SHAPED INTERSECTION , 2010 .