About a Variational Principle in the Theory of Motivated Vehicle Motion
Publication: Traffic And Transportation Studies (2002)
Abstract
We deal with the problem of deriving the microscopic equations governing the individual car motion based on the assumptions about the strategy of driver behavior. We suppose the driver behavior to be a result of a certain compromise between the will to move at a speed that is comfortable for him under the surrounding external conditions, comprising the physical state of the road, the weather conditions, etc., and the necessity to keep a safe headway distance between the cars in front of him. Such a strategy implies that a driver can compare the possible ways of his further motion and so choose the best one. To describe the driver preferences we introduce the priority functional whose extremals specify the driver choice. For simplicity we consider a single-lane road. In this case solving the corresponding equations for the extremals we find the relationship between the current acceleration, velocity and position of the car. As a special case we get a certain generalization of the optimal velocity model similar to the "intelligent driver model" proposed by Treiber and Helbing.
Get full access to this article
View all available purchase options and get full access to this chapter.
Information & Authors
Information
Published In
Copyright
© 2002 American Society of Civil Engineers.
History
Published online: Apr 26, 2012
ASCE Technical Topics:
- Automobiles
- Business management
- Continuum mechanics
- Driver behavior
- Dynamics (solid mechanics)
- Engineering mechanics
- Equations of motion
- Highway and road conditions
- Highway and road management
- Highway transportation
- Infrastructure
- Motion (dynamics)
- Motivation
- Personnel management
- Practice and Profession
- Solid mechanics
- Traffic engineering
- Traffic management
- Traffic safety
- Transportation engineering
- Vehicles
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.