Impact of the traffic interruption probability of optimal current on traffic congestion in lattice model

In this paper, a new lattice model is proposed with the consideration of the traffic interruption probability of the optimal current. The linear stability condition is obtained by linear stability analysis and the mKdV equation is deducted from nonlinear analysis via considering the traffic interruption probability of the optimal current, respectively. The results of numerical simulation show that the traffic interruption probability of the optimal current can efficiently suppress traffic jams under high response coefficient and deteriorate traffic situations under low response coefficient.

[1]  Hai-Jun Huang,et al.  A new macro model with consideration of the traffic interruption probability , 2008 .

[2]  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.

[3]  Takashi Nagatani,et al.  Jamming transition of high-dimensional traffic dynamics , 1999 .

[4]  Geng Zhang,et al.  Analysis of two-lane lattice hydrodynamic model with consideration of drivers’ characteristics , 2015 .

[5]  Zhu Wen-xing,et al.  A Backward-Looking Optimal Current Lattice Model , 2008 .

[6]  Hai-Jun Huang,et al.  A macro model for traffic flow on road networks with varying road conditions , 2014 .

[7]  Hua Kuang,et al.  Traffic accidents on a single-lane road with multi-slowdown sections , 2014 .

[8]  Guanghan Peng,et al.  A new lattice model of two-lane traffic flow with the consideration of optimal current difference , 2013, Commun. Nonlinear Sci. Numer. Simul..

[9]  Tie-Qiao Tang,et al.  A helicopter rescuing model in the low airspace with two telegraph poles and an electric wire , 2013 .

[10]  Hongxia Ge,et al.  The theoretical analysis of the lattice hydrodynamic models for traffic flow theory , 2010 .

[11]  Tie-Qiao Tang,et al.  A macro traffic flow model accounting for road capacity and reliability analysis , 2013 .

[12]  Yunpeng Wang,et al.  A new car-following model with consideration of inter-vehicle communication , 2014 .

[13]  Luciano Telesca,et al.  Analysis of the temporal properties in car accident time series , 2008 .

[14]  Takashi Nagatani,et al.  Jamming transition in traffic flow on triangular lattice , 1999 .

[15]  Attila Szolnoki,et al.  Cyclic dominance in evolutionary games: a review , 2014, Journal of The Royal Society Interface.

[16]  Sun Dihua,et al.  Continuum modeling for two-lane traffic flow with consideration of the traffic interruption probability , 2010 .

[17]  Hongxia Ge,et al.  The Korteweg-de Vries soliton in the lattice hydrodynamic model , 2009 .

[18]  Tie-Qiao Tang,et al.  Effects of on-ramp on the fuel consumption of the vehicles on the main road under car-following model , 2015 .

[19]  Zhongke Shi,et al.  An improved car-following model considering headway changes with memory , 2015 .

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

[21]  N N Sze,et al.  Diagnostic analysis of the logistic model for pedestrian injury severity in traffic crashes. , 2007, Accident; analysis and prevention.

[22]  Matjaž Perc,et al.  Premature seizure of traffic flow due to the introduction of evolutionary games , 2007 .

[23]  T. Nagatani Jamming transition in a two-dimensional traffic flow model. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[24]  G. Peng,et al.  A new lattice model of traffic flow with the consideration of the traffic interruption probability , 2012 .

[25]  H. Stanley,et al.  Networks formed from interdependent networks , 2011, Nature Physics.

[26]  S. Dai,et al.  Effect of the optimal velocity function on traffic phase transitions in lattice hydrodynamic models , 2009 .

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

[28]  Shing Chung Josh Wong,et al.  A new car-following model with consideration of the traffic interruption probability , 2009 .

[29]  Tie-Qiao Tang,et al.  Propagating properties of traffic flow on a ring road without ramp , 2014 .

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

[31]  Hua Kuang,et al.  Lattice hydrodynamic model of pedestrian flow considering the asymmetric effect , 2012 .

[32]  Takashi Nagatani,et al.  TDGL and MKdV equations for jamming transition in the lattice models of traffic , 1999 .

[33]  孙剑,et al.  A lattice traffic model with consideration of preceding mixture traffic information , 2011 .

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

[35]  N N Sze,et al.  Contributory factors to traffic crashes at signalized intersections in Hong Kong. , 2007, Accident; analysis and prevention.

[36]  Wen-xing Zhu,et al.  A speed feedback control strategy for car-following model , 2014 .

[37]  Attila Szolnoki,et al.  Coevolutionary Games - A Mini Review , 2009, Biosyst..

[38]  Wen-Xing Zhu,et al.  ANALYSIS OF GENERALIZED OPTIMAL CURRENT LATTICE MODEL FOR TRAFFIC FLOW , 2008 .

[39]  Melike Baykal-Gursoy,et al.  Modeling traffic flow interrupted by incidents , 2009, Eur. J. Oper. Res..

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

[41]  Tie-Qiao Tang,et al.  Vehicle's exhaust emissions under car-following model , 2014 .

[42]  Attila Szolnoki,et al.  Evolutionary dynamics of group interactions on structured populations: a review , 2013, Journal of The Royal Society Interface.

[43]  S C Wong,et al.  A qualitative assessment methodology for road safety policy strategies. , 2004, Accident; analysis and prevention.

[44]  Xianglin Han,et al.  JAMMING TRANSITION IN EXTENDED COOPERATIVE DRIVING LATTICE HYDRODYNAMIC MODELS INCLUDING BACKWARD-LOOKING EFFECT ON TRAFFIC FLOW , 2008 .

[45]  Harry Eugene Stanley,et al.  Catastrophic cascade of failures in interdependent networks , 2009, Nature.

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