Analysis of mixed traffic with connected and non-connected vehicles based on lattice hydrodynamic model

Abstract With the development of information technology, the communication between vehicle and vehicle(V2V), vehicle and infrastructure(V2I) promotes traffic efficiency and safety. In this work, we study the mixed traffic with connected and non-connected vehicles, and present the mixed traffic lattice hydrodynamic model. By using linear stability analysis, the stability conditions of the traffic system are obtained. The phase-plot shows that the communication range and permeability of connected vehicles have an important influence on the traffic system. Then we get the modified Korteweg-de Vries equation via nonlinear analysis. Furthermore, the numerical simulation results verify the theoretical results, and shows that increasing the communication range and permeability of connected vehicle will make the traffic system more stable.

[1]  Jing Zhang,et al.  Analysis of predictive effect on lattice hydrodynamic traffic flow model , 2019, Physica A: Statistical Mechanics and its Applications.

[2]  Arvind Kumar Gupta,et al.  Delayed-feedback control in a Lattice hydrodynamic model , 2015, Commun. Nonlinear Sci. Numer. Simul..

[3]  Lanhang Ye,et al.  Evaluating the impact of connected and autonomous vehicles on traffic safety , 2019, Physica A: Statistical Mechanics and its Applications.

[4]  Haijun Huang,et al.  An extended macro traffic flow model accounting for the driver’s bounded rationality and numerical tests , 2017 .

[5]  H. M. Zhang,et al.  Analysis of mixed traffic flow with human-driving and autonomous cars based on car-following model , 2017 .

[6]  Yu Xue,et al.  Congested traffic patterns of two-lane lattice hydrodynamic model with partial reduced lane , 2018, Physica A: Statistical Mechanics and its Applications.

[7]  Shiquan Zhong,et al.  Two-lane lattice hydrodynamic model considering the empirical lane-changing rate , 2019, Commun. Nonlinear Sci. Numer. Simul..

[8]  J. Meng,et al.  Cellular automaton model for mixed traffic flow with motorcycles , 2007 .

[9]  Guanghan Peng,et al.  Feedback control caused by honk effect incorporating the driver’s characteristics in lattice hydrodynamic model , 2019 .

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

[11]  Takashi Nagatani,et al.  Modified KdV equation for jamming transition in the continuum models of traffic , 1998 .

[12]  Rui Jiang,et al.  Synchronized flow and phase separations in single-lane mixed traffic flow , 2007 .

[13]  Rongjun Cheng,et al.  A new lattice hydrodynamic model accounting for the traffic interruption probability on a gradient highway , 2019, Physics Letters A.

[14]  Li Zhang,et al.  Lattice hydrodynamic model based delay feedback control of vehicular traffic flow considering the effects of density change rate difference , 2015, Commun. Nonlinear Sci. Numer. Simul..

[15]  Jin Chen,et al.  Modeling and stability analysis of mixed traffic with conventional and connected automated vehicles from cyber physical perspective , 2020 .

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

[17]  Benchawan Wiwatanapataphee,et al.  Mixed Traffic Flow in Anisotropic Continuum Model , 2007 .

[18]  Geng Zhang,et al.  Phase transition of a new lattice hydrodynamic model with consideration of on-ramp and off-ramp , 2018, Commun. Nonlinear Sci. Numer. Simul..

[19]  Geng Zhang,et al.  Stability analysis of feedforward anticipation optimal flux difference in traffic lattice hydrodynamic theory , 2018, Commun. Nonlinear Sci. Numer. Simul..

[20]  Zhong-Ke Shi,et al.  Analysis of a novel two-lane lattice model on a gradient road with the consideration of relative current , 2016, Commun. Nonlinear Sci. Numer. Simul..

[21]  Yu Xue,et al.  An extended continuum traffic model with the consideration of the optimal velocity difference , 2018, Physica A: Statistical Mechanics and its Applications.

[22]  Poonam Redhu,et al.  Effect of forward looking sites on a multi-phase lattice hydrodynamic model , 2016 .

[23]  D. Helbing,et al.  Gas-Kinetic-Based Traffic Model Explaining Observed Hysteretic Phase Transition , 1998, cond-mat/9810277.

[24]  Huang Hai-Jun,et al.  An improved two-lane traffic flow lattice model , 2006 .

[25]  Takashi Nagatani,et al.  Jamming transitions and the modified Korteweg–de Vries equation in a two-lane traffic flow , 1999 .

[26]  Bin Jia,et al.  Dynamic Congested Traffic States of Density Difference Lattice Hydrodynamic Model with On-Ramp , 2013 .

[27]  Guanghan Peng,et al.  A new lattice model of traffic flow with the consideration of individual difference of anticipation driving behavior , 2013, Commun. Nonlinear Sci. Numer. Simul..

[28]  B. Ran,et al.  Stability analysis of the mixed traffic flow of cars and trucks using heterogeneous optimal velocity car-following model , 2014 .

[29]  Rui Jiang,et al.  Extended Speed Gradient Model for Mixed Traffic , 2004 .

[30]  Yu Cui,et al.  The control method for the lattice hydrodynamic model , 2015, Commun. Nonlinear Sci. Numer. Simul..

[31]  Dong Chen,et al.  Stability analysis of a new lattice hydrodynamic model by considering lattice’s self-anticipative density effect , 2017 .

[32]  Ziyou Gao,et al.  Congested traffic patterns of two-lane lattice hydrodynamic model with on-ramp , 2017 .

[33]  Yu Xue,et al.  An extended macroscopic model for traffic flow on curved road and its numerical simulation , 2019, Nonlinear Dynamics.

[34]  R. Jiang,et al.  A new continuum model for traffic flow and numerical tests , 2002 .

[35]  Geng Zhang.  The self-stabilization effect of lattice’s historical flow in a new lattice hydrodynamic model , 2018 .

[36]  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 .

[37]  Berg,et al.  Continuum approach to car-following models , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[38]  Wei Wang,et al.  Mixed traffic flow model considering illegal lane-changing behavior: Simulations in the framework of Kerner’s three-phase theory , 2012 .

[39]  Bin Jia,et al.  The stabilization effect of the density difference in the modified lattice hydrodynamic model of traffic flow , 2012 .

[40]  Hongxia Ge,et al.  The “backward looking” effect in the lattice hydrodynamic model , 2008 .