A simplified car-following theory: a lower order model

Abstract A very simple “car-following” rule is proposed wherein, if an nth vehicle is following an (n−1)th vehicle on a homogeneous highway, the time-space trajectory of the nth vehicle is essentially the same as the (n−1)th vehicle except for a translation in space and in time. It seems that such a rule is at least as accurate as any of the more elaborate rules of car-following that have been proposed over the last 50 years or so. Actually, the proposed model could be interpreted as a special case of existing models but with fewer parameters and a different logic. At least this should form a reasonable starting point for investigating other phenomena.

[1]  Robert Herman,et al.  Technology, Human Interaction, and Complexity: Reflections on Vehicular Traffic Science , 1992, Oper. Res..

[2]  E. Kometani,et al.  On the stability of traffic flow , 1958 .

[3]  G. F. Newell.  Nonlinear Effects in the Dynamics of Car Following , 1961 .

[4]  W. R. Buckland.  Theory of Traffic Flow , 1961 .

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

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

[7]  G. F. Newell.  A simplified theory of kinematic waves in highway traffic, part II: Queueing at freeway bottlenecks , 1993 .

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

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

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

[11]  L. A. Pipes.  An Operational Analysis of Traffic Dynamics , 1953 .

[12]  J Foster.  An investigation of the hydrodynamic model for traffic flow with particular reference to the effect of various speed density relationships , 1962 .

[13]  Hermann Herrey,et al.  Principles of Physics Applied to Traffic Movements and Road Conditions , 1945 .

[14]  Robert Herman,et al.  Vehicular traffic science : proceedings of the third International Symposium on the Theory of Traffic Flow, New York, June 1965, held under the auspices of the Transportation Science Section of the Operations Research Society of America , 1968 .

[15]  J. M. Del Castillo.  A car following model based on the Lighthill-Whitham theory , 1996 .

[16]  Carlos F. Daganzo,et al.  TRANSPORTATION AND TRAFFIC THEORY , 1993 .