Citation

Kometani E, Sasaki T. Oper. Res. 1959; 7(6): 704-720.

Copyright

(Copyright © 1959, Operations Research Society of America, Publisher Institute for Operations Research and the Management Sciences)

DOI

10.1287/opre.7.6.704

PMID

unavailable

Abstract

The authors have tried to improve the traffic dynamic theory of professor pipes and have found the fundamental equation of traffic dynamics for a case in which the velocity of the following vehicle is determined not only by the space between following and lead cars, but also by the velocity of the lead car. The safety of the following car with respect to rear end collision when the lead car is in sinusoidal motion is quantified by introducing a safety index. At the same time, the stability of the propagation of a sinusoidal disturbance down a line of cars is described.

Language: en