PMID: 11909198Mar 23, 2002Paper

Towards a variational principle for motivated vehicle motion

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
I A LubashevskyR Mahnke

Abstract

We deal with the problem of deriving the microscopic equations governing individual car motion based on assumptions about the strategy of driver behavior. We presume 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 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.

References

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Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·T Nagatani
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·K Nakanishi
Dec 2, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·I A Lubashevsky, R Mahnke
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P Berg, A Woods
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Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·T Nagatani

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Citations

Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Peng ZhangKeechoo Choi
Mar 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H K LeeD Kim
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Takashi Nagatani
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ihor LubashevskyReinhard Mahnke

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