A modified lattice model of traffic flow with the consideration of the downstream traffic condition

Traffic congestion has attracted considerable attention in modern society. Many researchers have proposed tremendous traffic flow models. These models can be divided into microscopic model, mesosco...

[1]  Jing Shi,et al.  Perturbation and Stability Analysis of the Multi-Anticipative Intelligent Driver Model , 2010 .

[2]  Liu Weining,et al.  A traffic flow lattice model considering relative current influence and its numerical simulation , 2010 .

[3]  Xiao-Mei Zhao,et al.  Multiple flux difference effect in the lattice hydrodynamic model , 2012 .

[4]  G. Peng,et al.  A dynamical model of car-following with the consideration of the multiple information of preceding cars , 2010 .

[5]  R. Jiang,et al.  Full velocity difference model for a car-following theory. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Fuqiang Liu,et al.  STABILIZATION ANALYSIS AND MODIFIED KdV EQUATION OF LATTICE MODELS WITH CONSIDERATION OF RELATIVE CURRENT , 2008 .

[7]  Rui Jiang,et al.  Cellular Automaton Model with Dynamical 2D Speed-Gap Relation , 2017, Transp. Sci..

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

[9]  Rui Jiang,et al.  Bulk induced phase transition in driven diffusive systems , 2014, Scientific Reports.

[10]  R. Jiang,et al.  Phase transitions in coupled exclusion processes constituted by TASEP and two-lane SEPs , 2014 .

[11]  Shuhong Yang,et al.  Effect of optimal estimation of flux difference information on the lattice traffic flow model , 2016 .

[12]  B. Jia,et al.  Wave dynamics in an extended macroscopic traffic flow model with periodic boundaries , 2018, Modern Physics Letters B.

[13]  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..

[14]  Zhao Min,et al.  Density waves in a lattice hydrodynamic traffic flow model with the anticipation effect , 2012 .

[15]  B. Jia,et al.  A macroscopic model for VOC emissions process complemented by real data , 2018, Modern Physics Letters B.

[16]  B. Jia,et al.  Reliability analysis of degradable networks with modified BPR , 2017 .

[17]  Guanghan Peng,et al.  A new lattice model of traffic flow with the consideration of the drivers’ aggressive characteristics , 2017 .

[18]  G. H. Peng,et al.  A study of wide moving jams in a new lattice model of traffic flow with the consideration of the driver anticipation effect and numerical simulation , 2012 .

[19]  B. Jia,et al.  Stability analysis and wave dynamics of an extended hybrid traffic flow model , 2018 .

[20]  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..

[21]  Taixiong Zheng,et al.  An extended microscopic traffic flow model based on the spring-mass system theory , 2017 .

[22]  Rui Jiang,et al.  Cellular automaton model simulating spatiotemporal patterns, phase transitions and concave growth pattern of oscillations in traffic flow , 2016 .

[23]  Ziyou Gao,et al.  Theoretical analysis of bifurcations in a microscopic traffic model accounting for optimal velocity , 2017 .

[24]  R. Jiang,et al.  Phase transitions in three-lane TASEPs with weak coupling , 2014 .

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

[26]  G. Peng,et al.  Non-lane-based lattice hydrodynamic model of traffic flow considering the lateral effects of the lan , 2011 .

[27]  S. Dai,et al.  Stabilization analysis and modified Korteweg-de Vries equation in a cooperative driving system. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  Zhongke Shi,et al.  A new multi-anticipative car-following model with consideration of the desired following distance , 2016 .

[29]  P. Wagner,et al.  Metastable states in a microscopic model of traffic flow , 1997 .

[30]  Rui Jiang,et al.  Dynamics in phase transitions of TASEP coupled with multi-lane SEPs , 2017 .

[31]  Ziyou Gao,et al.  Dynamics in multi-lane TASEPs coupled with asymmetric lane-changing rates , 2017 .

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

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

[34]  Ziyou Gao,et al.  Evolvement law of a macroscopic traffic model accounting for density-dependent relaxation time , 2017 .

[35]  Wei Huang,et al.  Phase diagram structures in a periodic one-dimensional exclusion process. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[36]  Ziyou Gao,et al.  Theoretical analysis of a hybrid traffic model accounting for safe velocity , 2017 .

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

[38]  Ziyou Gao,et al.  Stabilization effect of multiple density difference in the lattice hydrodynamic model , 2013 .

[39]  Shiquan Zhong,et al.  New control strategy for the lattice hydrodynamic model of traffic flow , 2017 .

[40]  Bin Jia,et al.  Improved 2D intelligent driver model in the framework of three-phase traffic theory simulating synchronized flow and concave growth pattern of traffic oscillations , 2016 .

[41]  Bin Jia,et al.  Bifurcation analysis of a heterogeneous traffic flow model , 2018 .