Gazis-Herman-Rothery (GHR) Car-Following Model

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration solves a Gazis–Herman–Rothery (GHR) car-following model. In this model a vehicle accelerates in response to the velocity and distance of the vehicle in front. The model in its most general form is:

[more]

, in which , is time; and are the positions of the leading and following vehicles, respectively; is the velocity; is the acceleration; , , and are constants; and is the driver reaction (delay) time [1].

The GHR model is solved for nine cars traveling in a single lane with . For , the lead vehicle has a velocity of 70 mph and this velocity changes at time . The results are presented in the velocity time plane and in the delay phase plane. You can vary the velocity of the leading vehicle and the delay time to see the evolution of the GHR equation.

[less]

Contributed by: Clay Gruesbeck (December 2012)
Open content licensed under CC BY-NC-SA


Snapshots


Details

Reference

[1] M. Brackstone and M. McDonald, "Car-Following: A Historical Review," Transportation Research Part F: Traffic Psychology and Behaviour, 2(4), 1999 pp. 181–196. doi:10.1016/S1369-8478(00)00005-X.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send