SIMULATION USING GIPPS' CAR-FOLLOWING MODEL—AN IN-DEPTH ANALYSIS

This study reports on an in-depth analysis of the properties of Gipps' car-following model. Certain properties of the model are investigated and the need of specific additions to the model is identified. Gipps' car-following model is rather important as it comprises the traffic model of several traffic simulation packages; and the analysis performed in this study determines the actual dynamics that govern model formulae. First, the relationships for the maximum acceleration and deceleration values the model produces are identified. Results indicate that model relationships are such that a vehicle could end up braking harder than its desired deceleration, hence a constraint has to be set. Furthermore, relationships between vehicle acceleration and speed are established. Second, further additions are proposed to allow the model simulate traffic at signal-controlled junctions. These additions include providing a definition for a queueing vehicle and speed manipulation to achieve the calculated saturation flow of simulated junctions.

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

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

[3]  P. G. Gipps,et al.  A MODEL FOR THE STRUCTURE OF LANE-CHANGING DECISIONS , 1986 .

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

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

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

[7]  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.

[8]  A. Schadschneider,et al.  Statistical physics of vehicular traffic and some related systems , 2000, cond-mat/0007053.

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

[10]  H Lieu,et al.  TRAFFIC-FLOW THEORY , 1999 .

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

[12]  Nakayama,et al.  Dynamical model of traffic congestion and numerical simulation. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  R. E. Wilson,et al.  An analysis of Gipps's car-following model of highway traffic , 2001 .

[14]  P Hidas.  A car-following model for urban traffic simulation , 1998 .

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

[16]  P G Gipps,et al.  MULTISM: A model for simulating vehicular traffic on multi-lane arterial roads , 1986 .

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

[18]  Prakash Ranjitkar,et al.  CAR-FOLLOWING MODELS: AN EXPERIMENT BASED BENCHMARKING , 2005 .

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

[20]  P Behbahanizadeh Hidas.  SITRAS: A SIMULATION MODEL FOR ITS APPLICATIONS , 1998 .

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