A Cellular Automaton Model of Public Transport System Based on Cruise Control

Abstract Concerning the public transport system, a new cellular automaton model of traffic is proposed using the cruise control approach. In the model, the buses would cooperate with other ones while driving and adjust their speeds based on the difference value between the current headway and the desired one. Numerical simulation results show that the proposed model can reproduce clustering of the buses along the route. By incorporating a cruise control strategy, the model helps in reducing the undesirable tendency of clustering by dispersing the buses uniformly along the route, and increasing the average speed and decreasing the average number of waiting passengers in public transport system. The system performance is then improved with the cruise control strategy, which has certain applicability and practical significance.

[1]  Wei Zhou,et al.  Scheduling Combination and Headway Optimization of Bus Rapid Transit , 2008 .

[2]  M. Evans,et al.  Jamming transition in a homogeneous one-dimensional system: The bus route model , 1997, cond-mat/9712243.

[3]  Takashi Nagatani,et al.  Bunching and delay in bus-route system with a couple of recurrent buses , 2002 .

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

[5]  Takashi Nagatani,et al.  Chaos control and schedule of shuttle buses , 2006 .

[6]  Dirk Helbing,et al.  Jam-Avoiding Adaptive Cruise Control (ACC) and its Impact on Traffic Dynamics , 2005 .

[7]  Wei Zhang,et al.  Urban Traffic Situation Calculation Methods Based on Probe Vehicle Data , 2007 .

[8]  Liu Zheng-dong.  Research on the Multi-objective Assembled Optimal Model of Departing Interval on Bus Dispatch , 2007 .

[9]  A. Schadschneider,et al.  Statistical physics of vehicular traffic and some related systems , 2000, cond-mat/0007053.

[10]  A. Tomoeda,et al.  An information-based traffic control in a public conveyance system: Reduced clustering and enhanced efficiency , 2007, 0704.1555.

[11]  Henri Huijberts,et al.  Analysis of a continuous car-following model for a bus route: existence, stability and bifurcations of synchronous motions , 2002 .

[12]  Bart De Moor,et al.  Cellular automata models of road traffic , 2005, physics/0509082.

[13]  Mao-Bin Hu,et al.  Realistic bus route model considering the capacity of the bus , 2003 .

[14]  Takashi Nagatani,et al.  Interaction between buses and passengers on a bus route , 2001 .

[15]  B. Kerner.  The Physics of Traffic: Empirical Freeway Pattern Features, Engineering Applications, and Theory , 2004 .

[16]  Rui Jiang,et al.  Phase transition in a mixture of adaptive cruise control vehicles and manual vehicles , 2007 .

[17]  T. Nagatani.  The physics of traffic jams , 2002 .

[18]  Takashi Nagatani,et al.  Kinetic clustering and jamming transitions in a car-following model for bus route , 2000 .