Analysis of the traffic running cost under random route choice behavior in a network with two routes

In this paper, a car-following model is used to study each driver’s three running costs in a network with two routes under the random route choice behavior. The numerical results indicate that each driver’s three running costs and the corresponding total cost are relevant to the gap of the time the driver enters the network. The results can help us to further explore each driver’s trip cost in a more complex network under other route choice behavior.

[1]  Yiannis Kamarianakis,et al.  Accounting for exhaust gas transport dynamics in instantaneous emission models via smooth transition regression. , 2010, Environmental science & technology.

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

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

[4]  Hesham Rakha,et al.  Virginia Tech Comprehensive Power-Based Fuel Consumption Model: Model Development and Testing , 2011 .

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

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

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

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

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

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

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

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

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

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

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

[16]  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.

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

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

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

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

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

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

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

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

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

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

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

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

[29]  Britt A. Holmén,et al.  Comparison of particle mass and number emissions from a diesel transit bus across temporal and spatial scales , 2013 .

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

[31]  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 .

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

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

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

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

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

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

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

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

[40]  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..

[41]  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 .

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[60]  Britt A. Holmén,et al.  Evaluating Effects of Engine Operating Variables on Particle Number Emission Rates Using Robust Regression Models , 2011 .

[61]  H. Oliver Gao,et al.  Environmental equity in funding decisions of the clean air school bus program: The case of New York State , 2011 .

[62]  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 .

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

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