A CAR FOLLOWING MODEL-BASED ON THE LIGHTHILL-WHITHAM THEORY
This work presents a car-following model. The proposed car-following model is intended to be a microscopic version of the continuity equation. First of all, a linear speed-distance curve is assumed for the Lighthill-Whitham model. The resulting model turns out to be the well-known linear car-following model proposed by Chandler et al (1958). Next, the results obtained for a linear speed-distance relationship as stationary solution, are extended for a generic nonlinear speed-distance curve. In this case, the reaction time becomes a function of the distance between vehicles. When the car-following model is written in a particular set of dimensionless variables, the resulting dimensionless car-following model does not contain any parameter. Finally, an algorithm for the nonlinear car-following model is developed. The results show that the algorithm for the nonlinear car-following model yields solutions that agree with those given by the Lighthill-Whitham model with the same speed-distance curve. (A) For the covering abstract see IRRD 886400.
-
Availability:
- Find a library where document is available. Order URL: http://worldcat.org/isbn/0080425860
-
Corporate Authors:
The Boulevard, Langford Lane
Kidlington, Oxford United Kingdom OX5 1GB -
Authors:
- del Castillo, J M
- Conference:
- Publication Date: 1996
Language
- English
Media Info
- Features: References;
- Pagination: p. 517-38
Subject/Index Terms
- TRT Terms: Conferences; Mathematical models; Vehicle spacing
- ITRD Terms: 8525: Conference; 6473: Mathematical model; 694: Vehicle spacing
- Subject Areas: Data and Information Technology; Operations and Traffic Management;
Filing Info
- Accession Number: 00732925
- Record Type: Publication
- Source Agency: Transport Research Laboratory
- ISBN: 0-08-042586-0
- Files: ITRD
- Created Date: Mar 24 1997 12:00AM