Impacts of the driver’s bounded rationality on the traffic running cost under the car-following model

The driver’s bounded rationality has significant influences on the micro driving behavior and researchers proposed some traffic flow models with the driver’s bounded rationality. However, little effort has been made to explore the effects of the driver’s bounded rationality on the trip cost. In this paper, we use our recently proposed car-following model to study the effects of the driver’s bounded rationality on his running cost and the system’s total cost under three traffic running costs. The numerical results show that considering the driver’s bounded rationality will enhance his each running cost and the system’s total cost under the three traffic running costs.

[1]  Hai-Jun Huang,et al.  Influences of the driver’s bounded rationality on micro driving behavior, fuel consumption and emissions , 2015 .

[2]  Takashi Nagatani,et al.  Asymmetric effect of route-length difference and bottleneck on route choice in two-route traffic system , 2015 .

[3]  彭光含,et al.  Stabilisation analysis of multiple car-following model in traffic flow , 2010 .

[4]  W. Vickrey.  Congestion Theory and Transport Investment , 1969 .

[5]  Sapna Sharma,et al.  Lattice hydrodynamic modeling of two-lane traffic flow with timid and aggressive driving behavior , 2015 .

[6]  Hesham Rakha,et al.  ESTIMATING VEHICLE FUEL CONSUMPTION AND EMISSIONS BASED ON INSTANTANEOUS SPEED AND ACCELERATION LEVELS , 2002 .

[7]  Li-Dong Zhang,et al.  Proportional–differential effects in traffic car-following model system , 2014 .

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

[9]  A. Palma,et al.  A STRUCTURAL MODEL OF PEAK-PERIOD CONGESTION: A TRAFFIC BOTTLENECK WITH ELASTIC DEMAND. IN: RECENT DEVELOPMENTS IN TRANSPORT ECONOMICS , 1993 .

[10]  Wen-Xing Zhu,et al.  Analysis of CO2 emission in traffic flow and numerical tests , 2013 .

[11]  Chuan Ding,et al.  Impacts of the vehicle’s fuel consumption and exhaust emissions on the trip cost allowing late arrival under car-following model , 2015 .

[12]  A. Palma,et al.  Economics of a bottleneck , 1986 .

[13]  Richard Arnott,et al.  Morning Commute in a Single-Entry Traffic Corridor with No Late Arrivals , 2012 .

[14]  Tie-Qiao Tang,et al.  Influences of vehicles' fuel consumption and exhaust emissions on the trip cost without late arrival under car-following model , 2016 .

[15]  A. Gupta,et al.  Analyses of a continuum traffic flow model for a nonlane-based system , 2014 .

[16]  G. Peng,et al.  Optimal velocity difference model for a car-following theory , 2011 .

[17]  Chuan Ding,et al.  Analyzing trip cost allowing late arrival under car-following model , 2015 .

[18]  Takashi Nagatani,et al.  Effect of bottleneck on route choice in two-route traffic system with real-time information , 2014 .

[19]  V. K. Katiyar,et al.  Analyses of shock waves and jams in traffic flow , 2005 .

[20]  Takashi Nagatani,et al.  Driving behavior and control in traffic system with two kinds of signals , 2014 .

[21]  Marcello Delitala,et al.  Asymptotic limits of a discrete Kinetic Theory model of vehicular traffic , 2011, Appl. Math. Lett..

[22]  Hongxia Ge,et al.  The KdV–Burgers equation in a new continuum model with consideration of driverʼs forecast effect and numerical tests , 2013 .

[23]  Takashi Nagatani,et al.  Effect of perception irregularity on chain-reaction crash in low visibility , 2015 .

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

[25]  V. K. Katiyar,et al.  Phase transition of traffic states with on-ramp , 2006 .

[26]  G. H. Peng,et al.  A novel macro model of traffic flow with the consideration of anticipation optimal velocity , 2014 .

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

[28]  Siuming Lo,et al.  A modified coupled map car following model and its traffic congestion analysis , 2012 .

[29]  Wen-Xing Zhu,et al.  Analysis of energy dissipation in traffic flow with a variable slope , 2013 .

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

[31]  A. Gupta,et al.  Analyses of Lattice Traffic Flow Model on a Gradient Highway , 2014 .

[32]  M J Lighthill,et al.  On kinematic waves II. A theory of traffic flow on long crowded roads , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[33]  Hai-Jun Huang,et al.  A car-following model with real-time road conditions and numerical tests , 2014 .

[34]  Takashi Nagatani,et al.  Effect of headway and velocity on safety–collision transition induced by lane changing in traffic flow , 2012 .

[35]  Wen-Xing Zhu,et al.  Nonlinear analysis of traffic flow on a gradient highway , 2012 .

[36]  A. Gupta,et al.  Effect of multi-phase optimal velocity function on jamming transition in a lattice hydrodynamic model with passing , 2015 .

[37]  P. I. Richards.  Shock Waves on the Highway , 1956 .

[38]  Takashi Nagatani,et al.  Vehicular motion in counter traffic flow through a series of signals controlled by a phase shift , 2012 .

[39]  Arvind Kumar Gupta,et al.  Nonlinear analysis of traffic jams in an anisotropic continuum model , 2010 .

[40]  Arvind Kumar Gupta,et al.  A NEW MULTI-CLASS CONTINUUM MODEL FOR TRAFFIC FLOW , 2007 .

[41]  G. Peng,et al.  A NEW LATTICE MODEL OF TRAFFIC FLOW WITH THE CONSIDERATION OF THE HONK EFFECT , 2011 .

[42]  Arvind Kumar Gupta,et al.  Analysis of the wave properties of a new two-lane continuum model with the coupling effect , 2012 .

[43]  T. Nagatani.  Chain-reaction crash in traffic flow controlled by taillights , 2015 .

[44]  Isha Dhiman,et al.  Phase diagram of a continuum traffic flow model with a static bottleneck , 2015 .

[45]  Poonam Redhu,et al.  Jamming transition of a two-dimensional traffic dynamics with consideration of optimal current difference , 2013 .

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

[47]  Siuming Lo,et al.  TDGL equation in lattice hydrodynamic model considering driver’s physical delay , 2014 .

[48]  Arvind Kumar Gupta,et al.  A SECTION APPROACH TO A TRAFFIC FLOW MODEL ON NETWORKS , 2013 .

[49]  Arvind Kumar Gupta,et al.  Analysis of a modified two-lane lattice model by considering the density difference effect , 2014, Commun. Nonlinear Sci. Numer. Simul..

[50]  G. F. Newell.  Traffic Flow for the Morning Commute , 1988, Transp. Sci..

[51]  V. K. Katiyar,et al.  A new anisotropic continuum model for traffic flow , 2006 .

[52]  A. Gupta,et al.  Jamming transitions and the effect of interruption probability in a lattice traffic flow model with passing , 2015 .

[53]  A. Gupta,et al.  Analyses of the driver’s anticipation effect in a new lattice hydrodynamic traffic flow model with passing , 2014 .

[54]  Hai-Jun Huang,et al.  Analyzing the travel time of car-following model on an open road , 2015 .

[55]  A. Gupta,et al.  Analyses of driver’s anticipation effect in sensing relative flux in a new lattice model for two-lane traffic system , 2013 .

[56]  Wen-xing Zhu,et al.  A new car-following model considering the related factors of a gyroidal road , 2014 .

[57]  Debbie A. Niemeier,et al.  The impact of rush hour traffic and mix on the ozone weekend effect in southern California , 2007 .

[58]  Hongxia Ge,et al.  Theoretical analysis of the density wave in a new continuum model and numerical simulation , 2014 .

[59]  Hai-Jun Huang,et al.  Analyzing trip cost with no late arrival under car-following model , 2015 .

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

[61]  H. Oliver Gao,et al.  Developing link-based particle number emission models for diesel transit buses using engine and vehicle parameters , 2009 .

[62]  Hesham Rakha,et al.  Requirements for Evaluating Traffic Signal Control Impacts on Energy and Emissions Based on Instantaneous Speed and Acceleration Measurements , 2000 .