Asymmetric Microscopic Driving Behavior Theory

Numerous theories on traffic have been developed as traffic congestion gains more and more interest in our daily life. To model traffic phenomena, many traffic theorists have adopted theories from other fields such as fluid mechanics and thermodynamics. However, their efforts to model the traffic at a microscopic level have not been successful yet. Therefore, to overcome the limitations of the existing theories we propose a microscopic asymmetric traffic theory based on analysis of individual vehicle trajectories. According to the proposed theory, vehicle traffic is classified into 5 phases: free flow, acceleration, deceleration, coasting, and stationary. The proposed theory suggests that traffic equilibrium exists as 2-dimensional area bounded by A-curve and D-curve, and explains phase transitions. The basic theory was extended to address driver behavior such as vehicle maneuvering error and anticipation. The proposed theory was applied to explain several traffic phenomena in congested traffic such as traffic hysteresis, capacity drop, stability, relaxation after lane change, and stop-and-go waves. We provided reasonable and intuitive explanations on these phenomena which cannot be easily understood with existing theories.

[1]  M. Cassidy,et al.  Some traffic features at freeway bottlenecks , 1999 .

[2]  Kerner,et al.  Experimental properties of complexity in traffic flow. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[3]  T J Triggs,et al.  REACTION TIME OF DRIVERS TO ROAD STIMULI , 1982 .

[4]  Kerner,et al.  Experimental features and characteristics of traffic jams. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[5]  M. Cassidy BIVARIATE RELATIONS IN NEARLY STATIONARY HIGHWAY TRAFFIC , 1998 .

[6]  S L Cohen Application of Relaxation Procedure for Lane Changing in Microscopic Simulation Models , 2004 .

[7]  Carlos F. Daganzo,et al.  THE CELL TRANSMISSION MODEL, PART II: NETWORK TRAFFIC , 1995 .

[8]  R Herman,et al.  PROPAGATION OF DISTURBANCES IN VEHICULAR PLATOONS. IN VEHICULAR TRAFFIC SCIENCE , 1967 .

[9]  P. G. Gipps,et al.  A behavioural car-following model for computer simulation , 1981 .

[10]  Michael J. Cassidy,et al.  Relation between traffic density and capacity drop at three freeway bottlenecks , 2007 .

[11]  Peter Wagner,et al.  Toward Benchmarking of Microscopic Traffic Flow Models , 2003 .

[12]  C. Daganzo,et al.  Possible explanations of phase transitions in highway traffic , 1999 .

[13]  Jorge A. Laval,et al.  Microscopic modeling of the relaxation phenomenon using a macroscopic lane-changing model , 2008 .

[14]  Dirk Helbing,et al.  Delays, inaccuracies and anticipation in microscopic traffic models , 2006 .

[15]  Reggie J. Caudill,et al.  Vehicle-Follower Longitudinal Control for Automated Transit Vehicles , 1977 .

[16]  J Treiterer,et al.  THE HYSTERESIS PHENOMENON IN TRAFFIC FLOW , 1974 .

[17]  H. M. Zhang,et al.  A Car-Following Theory for Multiphase Vehicular Traffic Flow , 2003 .

[18]  H. M. Zhang A theory of nonequilibrium traffic flow , 1998 .

[19]  W Leutzbach,et al.  DEVELOPMENT AND APPLICATIONS OF TRAFFIC SIMULATION MODELS AT THE KARLSRUHE INSTITUT FUR VERKEHRWESEN , 1986 .

[20]  Parameter Estimation for NGSIM Freeway Flow Algorithm , 2008 .

[21]  P Nelson,et al.  A critical comparison of the kinematic-wave model with observation data , 2005 .

[22]  Robert L. Bertini Time-Dependent Traffic Flow Features at a Freeway Bottleneck Downstream of a Merge , 1999 .

[23]  Carlos F. Daganzo,et al.  A BEHAVIORAL THEORY OF MULTI-LANE TRAFFIC FLOW. PART II, MERGES AND THE ONSET OF CONGESTION , 1999 .

[24]  Boris S. Kerner Three-phase traffic theory and highway capacity , 2002 .

[25]  Dirk Helbing,et al.  Understanding widely scattered traffic flows, the capacity drop, and platoons as effects of variance-driven time gaps. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  Taewan Kim,et al.  Gap time and stochastic wave propagation , 2004, Proceedings. The 7th International IEEE Conference on Intelligent Transportation Systems (IEEE Cat. No.04TH8749).

[27]  H. M. Zhang A mathematical theory of traffic hysteresis , 1999 .

[28]  Helbing Gas-kinetic derivation of Navier-Stokes-like traffic equations. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[29]  Mgh Bell,et al.  Transportation and traffic theory 2007 , 2007 .

[30]  James H Banks,et al.  TWO-CAPACITY PHENOMENON AT FREEWAY BOTTLENECKS: A BASIS FOR RAMP METERING? , 1991 .

[31]  B S Kerner THEORY OF CONGESTED TRAFFIC FLOW: SELF-ORGANIZATION WITHOUT BOTTLENECKS , 1999 .

[32]  Dirk Helbing,et al.  Empirical Features of Congested Traffic States and Their Implications for Traffic Modeling , 2007, Transp. Sci..

[33]  J. M. D. Castillo Propagation of perturbations in dense traffic flow: a model and its implications , 2001 .

[34]  C. Daganzo,et al.  Effects of HOV lanes on freeway bottlenecks , 2007 .

[35]  Harold J Payne,et al.  MODELS OF FREEWAY TRAFFIC AND CONTROL. , 1971 .

[36]  Carlos F. Daganzo,et al.  Fundamentals of Transportation and Traffic Operations , 1997 .

[37]  Gordon F. Newell,et al.  INSTABILITY IN DENSE HIGHWAY TRAFFIC: A REVIEW. , 1965 .

[38]  Carlos F. Daganzo,et al.  In Traffic Flow, Cellular Automata = Kinematic Waves , 2004 .

[39]  黒田 孝次,et al.  Highway Capacity Manual改訂の動向--テイラ-教授の講演より , 1984 .

[40]  Peter Hidas,et al.  Modelling vehicle interactions in microscopic simulation of merging and weaving , 2005 .

[41]  Fred L. Hall,et al.  FREEWAY CAPACITY DROP AND THE DEFINITION OF CAPACITY , 1991 .

[42]  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.

[43]  Carlos F. Daganzo,et al.  Lane-changing in traffic streams , 2006 .

[44]  Soyoung Ahn,et al.  Freeway Traffic Oscillations and Vehicle Lane-Change Maneuvers , 2007 .

[45]  Mike McDonald,et al.  Car-following: a historical review , 1999 .

[46]  C. Wagner,et al.  Asymptotic solutions for a multi-anticipative car-following model , 1998 .

[47]  C. Daganzo THE CELL TRANSMISSION MODEL.. , 1994 .

[48]  Peter Wagner Modelling traffic flow fluctuations , 2008 .

[49]  Mike McDonald,et al.  Motorway driver behaviour: studies on car following , 2002 .

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

[51]  B D Greenshields,et al.  A study of traffic capacity , 1935 .

[52]  Gordon F. Newell,et al.  A simplified car-following theory: a lower order model , 2002 .

[53]  T W Forbes,et al.  HUMAN FACTOR CONSIDERATIONS IN TRAFFIC FLOW THEORY , 1963 .

[54]  H. M. Zhang,et al.  A stochastic wave propagation model , 2008 .