Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2001-11-07
Physics
Condensed Matter
Soft Condensed Matter
6 pages, RevTeX 4
Scientific paper
10.1103/PhysRevE.65.036140
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.
Kalenkov Sergey
Lubashevsky Ihor
Mahnke Reinhard
No associations
LandOfFree
Towards a variational principle for motivated vehicle motion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Towards a variational principle for motivated vehicle motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Towards a variational principle for motivated vehicle motion will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-102512