Traffic accidents on a single-lane road with multi-slowdown sections

In this paper, an extended cellular automaton model is proposed to simulate the complex characteristics of traffic flow and the probability of the occurrence of traffic accidents by considering the modified conditions for determining whether traffic accidents happen and the effect of multi-slowdown sections on a highway. The simulation results show that the multi-slowdown sections can lead to multiphase coexistences (i.e. free flow phase, congestion phase and saturation phase) in traffic system. The fundamental diagram shows that the number of slowdown section does not influence the mean velocity and the mean flow under the periodic boundary condition, but the existence of slowdown sections can effectively reduce the occurrence of traffic accident. In particular, it is found that the probability of car accidents to occur is the largest at the joint of the normal-speed section and slowdown section, and the underlying mechanism is analyzed. In addition, to design the appropriate limited speed and reduce the differences between the normal speed and limited speed will alleviate traffic congestion and reduce the occurrence of traffic accidents obviously.

[1]  N. Moussa.  Car accidents in cellular automata models for one-lane traffic flow. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Douglas A Kurtze.  Solitons and kinks in a general car-following model. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Nakayama,et al.  Dynamical model of traffic congestion and numerical simulation. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[4]  Y. Sugiyama,et al.  Traffic jams without bottlenecks—experimental evidence for the physical mechanism of the formation of a jam , 2008 .

[5]  Takashi Nagatani,et al.  Jam formation in traffic flow on a highway with some slowdown sections , 2007 .

[6]  Wei Zhang,et al.  Traffic accidents in a cellular automaton model with a speed limit zone , 2006 .

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

[8]  Xian-qing Yang,et al.  Car accidents determined by stopped cars and traffic flow , 2002 .

[9]  Takashi Nagatani,et al.  Traffic states induced by slowdown sections on two-lane highway , 2009 .

[10]  Peng Zhang,et al.  High-resolution numerical approximation of traffic flow problems with variable lanes and free-flow velocities. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Puspita Deo,et al.  Heterogeneous Traffic Flow Model For A Two-Lane Roundabout And Controlled Intersection , 2007 .

[12]  Jianping Meng,et al.  THE EFFECT OF DECELERATION STRIPS UPON TRAFFIC FLOW , 2006 .

[13]  Takashi Nagatani,et al.  Discontinuity at edge of traffic jam induced by slowdown , 2006 .

[14]  Peng Li,et al.  An extended macro model for traffic flow with consideration of multi static bottlenecks , 2013 .

[15]  Yongsheng Qian,et al.  An improved cellular automaton model with the consideration of a multi-point tollbooth , 2013 .

[16]  Rui Jiang,et al.  Dangerous situations in the velocity effect model , 2004 .

[17]  B. Kerner,et al.  Phase transitions in traffic flow on multilane roads. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Nino Boccara,et al.  Car accidents and number of stopped cars due to road blockage on a one-lane highway , 1997, adap-org/9704001.

[19]  Ihor Lubashevsky,et al.  Probabilistic Description of Traffic Flow , 2001 .

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

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

[22]  Ding-wei Huang,et al.  Exact results for car accidents in a traffic model , 1998 .

[23]  Najem Moussa,et al.  DANGEROUS SITUATIONS IN TWO-LANE TRAFFIC FLOW MODELS , 2005 .

[24]  Hao Wang,et al.  Spontaneous phase transition from free flow to synchronized flow in traffic on a single-lane highway. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Lei Jia,et al.  STABILITY AND KINK–ANTIKINK SOLITON SOLUTION FOR TOTAL GENERALIZED OPTIMAL VELOCITY MODEL , 2008 .

[26]  L i Xingli,et al.  Phase transition on speed limit traffic with slope , 2008 .

[27]  D W Huang,et al.  Car accidents on a single-lane highway. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  R. Mahnke,et al.  Stochastic master-equation approach to aggregation in freeway traffic , 1997 .

[29]  Michael Schreckenberg,et al.  A cellular automaton model for freeway traffic , 1992 .

[30]  Guanghan Peng,et al.  A new car-following model with the consideration of anticipation optimal velocity , 2013 .