A cellular automata traffic flow model considering the heterogeneity of acceleration and delay probability

This study examines the cellular automata traffic flow model, which considers the heterogeneity of vehicle acceleration and the delay probability of vehicles. Computer simulations are used to identify three typical phases in the model: free-flow, synchronized flow, and wide moving traffic jam. In the synchronized flow region of the fundamental diagram, the low and high velocity vehicles compete with each other and play an important role in the evolution of the system. The analysis shows that there are two types of bistable phases. However, in the original Nagel and Schreckenberg cellular automata traffic model, there are only two kinds of traffic conditions, namely, free-flow and traffic jams. The synchronized flow phase and bistable phase have not been found.

[1]  R. Jiang,et al.  Traffic behavior near an off ramp in the cellular automaton traffic model. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Ludger Santen,et al.  LETTER TO THE EDITOR: Towards a realistic microscopic description of highway traffic , 2000 .

[3]  Michael Schreckenberg,et al.  Simple cellular automaton model for traffic breakdown, highway capacity, and synchronized flow. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Lei Li,et al.  Effects of changing orders in the update rules on traffic flow. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Z. Wang,et al.  The structure and dynamics of multilayer networks , 2014, Physics Reports.

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

[7]  Tie-Qiao Tang,et al.  A car-following model accounting for the driver’s attribution , 2014 .

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

[9]  Haijun Huang,et al.  A new dynamic model for heterogeneous traffic flow , 2009 .

[10]  Zhen Wang,et al.  Dangerous drivers foster social dilemma structures hidden behind a traffic flow with lane changes , 2014 .

[11]  Michael Schreckenberg,et al.  Empirical synchronized flow in oversaturated city traffic. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Werner Brilon,et al.  Evaluation of Cellular Automata for Traffic Flow Simulation on Freeway and Urban Streets , 1999 .

[13]  Michael Schreckenberg,et al.  Effect of driver over-acceleration on traffic breakdown in three-phase cellular automaton traffic flow models , 2013 .

[14]  Mao-Bin Hu,et al.  Traffic Flow Characteristics in a Mixed Traffic System Consisting of ACC Vehicles and Manual Vehicles: A Hybrid Modeling Approach , 2009 .

[15]  B. Kerner,et al.  A microscopic model for phase transitions in traffic flow , 2002 .

[16]  Ning Zhu,et al.  Brake light cellular automaton model with advanced randomization for traffic breakdown , 2014 .

[17]  Tao Wang,et al.  Cellular automaton model in the fundamental diagram approach reproducing the synchronized outflow of wide moving jams , 2012 .

[18]  Tie-Qiao Tang,et al.  An evacuation model accounting for elementary students’ individual properties , 2015 .

[19]  M. Fukui,et al.  Traffic Flow in 1D Cellular Automaton Model Including Cars Moving with High Speed , 1996 .

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

[21]  Kerner,et al.  Experimental properties of complexity in traffic flow. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[22]  Michael Schreckenberg,et al.  Synchronized flow in oversaturated city traffic. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  R. Jiang,et al.  Spatial–temporal patterns at an isolated on-ramp in a new cellular automata model based on three-phase traffic theory , 2004 .

[24]  黄海军,et al.  A traffic flow cellular automaton model to considering drivers' learning and forgetting behaviour , 2011 .

[25]  Yu Xue,et al.  Correlation analysis of synchronization flow at a traffic bottleneck , 2014 .

[26]  Ziyou Gao,et al.  Synchronized traffic flow simulating with cellular automata model , 2009 .

[27]  Bin Jia,et al.  Cellular automaton model within the fundamental-diagram approach reproducing some findings of the three-phase theory , 2012 .

[28]  Michael Schreckenberg,et al.  Probabilistic physical characteristics of phase transitions at highway bottlenecks: incommensurability of three-phase and two-phase traffic-flow theories. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  Rui Jiang,et al.  Phase diagrams of traffic flow at an unsignalized intersection , 2012 .

[30]  Yu Guizhen,et al.  A Stochastic LWR Model with Consideration of the Driver's Individual Property , 2012 .

[31]  Xin-Gang Li,et al.  Cellular automaton model with time gap dependent randomisation under Kerner's three-phase traffic theory , 2011 .

[32]  N. Moussa,et al.  The influence of aggressive drivers on the properties of a stochastic traffic model , 2004 .

[33]  Rui Jiang,et al.  Cellular automata models for synchronized traffic flow , 2003 .

[34]  Ziyou Gao,et al.  Modeling the interactions between car and bicycle in heterogeneous traffic , 2015 .

[35]  Bing-Hong Wang,et al.  An improved cellular automaton traffic model considering gap-dependent delay probability , 2011 .

[36]  Yu Xue,et al.  Long-range correlations in vehicular traffic flow studied in the framework of Kerner's three-phase theory based on rescaled range analysis , 2015, Commun. Nonlinear Sci. Numer. Simul..

[37]  Michael Schreckenberg,et al.  Traffic breakdown at a signal: classical theory versus the three-phase theory of city traffic , 2014 .

[38]  Jiancheng Long,et al.  Effect of overpasses in the Biham-Middleton-Levine traffic flow model with random and parallel update rule. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[39]  Siuming Lo,et al.  Effect of slow-to-start in the extended BML model with four-directional traffic , 2014 .

[40]  Bing-Hong Wang,et al.  Phase diagrams properties of the mixed traffic flow on a crossroad , 2010 .

[41]  Tie-Qiao Tang,et al.  Influences of battery exchange on the vehicle’s driving behavior and running time under car-following model , 2015 .

[42]  Z. Gao,et al.  Long-range correlations of density fluctuations in the Kerner-Klenov-Wolf cellular automata three-phase traffic flow model. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  Boris S. Kerner,et al.  Spatial–temporal patterns in heterogeneous traffic flow with a variety of driver behavioural characteristics and vehicle parameters , 2004 .

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

[45]  K. Jetto,et al.  The effect of mixture lengths of vehicles on the traffic flow behaviour in one-dimensional cellular automaton , 2004 .

[46]  Boris S. Kerner,et al.  Cellular automata approach to three-phase traffic theory , 2002, cond-mat/0206370.

[47]  Shing Chung Josh Wong,et al.  Delay at signal-controlled intersection with bus stop upstream , 1998 .

[48]  Rui Jiang,et al.  Phase diagrams of heterogeneous traffic flow at a single intersection in a deterministic Fukui-Ishibashi cellular automata traffic model , 2014 .

[49]  Boris S Kerner,et al.  Complexity of spatiotemporal traffic phenomena in flow of identical drivers: explanation based on fundamental hypothesis of three-phase theory. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[50]  Hamid Ez-Zahraouy,et al.  Correlation velocities in heterogeneous bidirectional cellular automata traffic flow , 2015 .

[51]  Hai-Jun Huang,et al.  A new fundamental diagram theory with the individual difference of the driver’s perception ability , 2012 .

[52]  Rui Jiang,et al.  First order phase transition from free flow to synchronized flow in a cellular automata model , 2005 .

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