The Physical Foundation of Car-following Model
Affiliation(s)
College of Physical Science and Nuclear Engineer, Beihang University, Beijing, 100191, China.
College of Physical Science and Nuclear Engineer, Beihang University, Beijing, 100191, China.
ABSTRACT
Based on the Newton’s law of motion, the motion equation of the microscopic car-following model is introduced. The moving vehicles comply with the idea of Newton's equations of motion. But the interaction between vehicles is different from their traction. The inertia of the car is not its mass. We discuss the differences and present how to treat them. This article can deepen and widen the students' understanding of Newton's laws of motion. It can also provide the materials for university physical teaching. It is suitable for the students to exploratory study.
Cite this paper
Shu, X. , Jin, S. , Zhang, Y. , Zhou, H. and Lu, G. (2012) The Physical Foundation of Car-following Model. Creative Education, 3, 114-116. doi: 10.4236/ce.2012.37B030.
Shu, X. , Jin, S. , Zhang, Y. , Zhou, H. and Lu, G. (2012) The Physical Foundation of Car-following Model. Creative Education, 3, 114-116. doi: 10.4236/ce.2012.37B030.
References
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[1] B. D. Greenshields, “A Study of Traffic Capacity ,“ Proceedings of the highway research board (Highway Research Board, Washington, D. C.), vol. 14, pp. 448-477, 1935. [2] Dirk Helbing, “Traffic and related self-driven many-particle systems,” Review of Modern Physics, vol. 73, pp. 1067-1141, 2001. [3] T. Nagatani, “The physics of traffic jams,” Rep. Prog. Phys., vol. 65 pp. 1331-1386, 2002. [4] Louis A. Pipes, “An operational analysis of traffic dynamics,” Journal of Applied Physics, vol. 24, pp. 274-281, 1953. [5] M. Bando, K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama, “Dynamical model of traffic congestion and numerical simulation,” Phys. Rev. E., vol. 51 pp. 1035-1042, 1995.