Models of vehicular traffic: An engineering perspective

The aim of the paper is to present an engineer's viewpoint of traffic streams and their models both at the macroscopic and microscopic levels. The paper concentrates on two classes of macroscopic models (namely, stream description models and travel time estimation models). At the microscopic level the paper concentrates on car-following models and also presents a relatively recent idea on developing a comprehensive microscopic model of driver behaviour. Finally, the paper presents some properties which all microscopic models of traffic flow should possess and also tries to identify areas where research will bring about a qualitative jump in the understanding of how traffic flows.

[1]  Raymond S. Nickerson Reflections on Reasoning , 1986 .

[2]  Partha Chakroborty,et al.  Using Bus Travel Time Data to Estimate Travel Times on Urban Corridors , 2004 .

[3]  Mike McDonald,et al.  Drivers' Use of Deceleration and Acceleration Information in Car-Following Process , 2004 .

[4]  I. Prigogine,et al.  A Two-Fluid Approach to Town Traffic , 1979, Science.

[5]  L. C. Edie Car-Following and Steady-State Theory for Noncongested Traffic , 1961 .

[6]  Leonard Evans,et al.  Perceptual Thresholds in Car-Following---A Comparison of Recent Measurements with Earlier Results , 1977 .

[7]  David Branston,et al.  Urban Traffic Speeds—I: A Comparison of Proposed Expressions Relating Journey Speed to Distance from a Town Center , 1974 .

[8]  John B. Shoven,et al.  I , Edinburgh Medical and Surgical Journal.

[9]  Partha Chakroborty,et al.  Microscopic Modeling of Driver Behavior in Uninterrupted Traffic Flow , 2004 .

[10]  R. B. Potts,et al.  Car-Following Theory of Steady-State Traffic Flow , 1959 .

[11]  H. Greenberg An Analysis of Traffic Flow , 1959 .

[12]  D. Gazis,et al.  Nonlinear Follow-the-Leader Models of Traffic Flow , 1961 .

[13]  Francis P. D. Navin,et al.  Traffic congestion catastrophes , 1986 .

[14]  Adolf D. May,et al.  Traffic Flow Fundamentals , 1989 .

[15]  Robert Herman,et al.  Traffic Dynamics: Analysis of Stability in Car Following , 1959 .

[16]  Robert J. Sternberg,et al.  The Psychology of human thought , 1988 .

[17]  Rudolf Kruse,et al.  Uncertainty and vagueness in knowledge based systems: numerical methods , 1991, Artificial intelligence.

[18]  Dirk Helbing,et al.  GENERALIZED FORCE MODEL OF TRAFFIC DYNAMICS , 1998 .

[19]  Fred L. Hall,et al.  Catastrophe theory and patterns in 30 second freeway traffic data, implications for incident detection , 1989 .

[20]  M.M. Minderhoud,et al.  Empirical data on driving behaviour in stop-and-go traffic , 2004, IEEE Intelligent Vehicles Symposium, 2004.

[21]  E. Montroll,et al.  Traffic Dynamics: Studies in Car Following , 1958 .

[22]  Wilhelm Leutzbach,et al.  Introduction to the Theory of Traffic Flow , 1987 .