Journal ArticleDOI
Traffic Dynamics: Analysis of Stability in Car Following
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TLDR
“Acceleration noise” is proposed as a parameter that might be employed to characterize the driver-car-road complex under various conditions and some preliminary experimental measurements of acceleration noise are discussed.Abstract:
The manner in which vehicles follow each other on a highway without passing and the propagation of disturbances down a line of vehicles has been investigated further. Criteria are derived for both local and asymptotic stability in a chain of vehicles. The influence of next nearest neighbors as well as a statistical theory of stability is discussed. “Acceleration noise” is proposed as a parameter that might be employed to characterize the driver-car-road complex under various conditions. Some preliminary experimental measurements of acceleration noise are discussed.read more
Citations
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Journal ArticleDOI
Traffic and related self-driven many-particle systems
Dirk Helbing,Dirk Helbing +1 more
TL;DR: This article considers the empirical data and then reviews the main approaches to modeling pedestrian and vehicle traffic, including microscopic (particle-based), mesoscopic (gas-kinetic), and macroscopic (fluid-dynamic) models.
Journal ArticleDOI
Nonlinear Follow-the-Leader Models of Traffic Flow
TL;DR: A variety of nonlinear follow-the-leader models of traffic flow are discussed in this article in the light of available observational and experimental data, with emphasis placed on steady-state flow equations.
Book ChapterDOI
A Critical View of Driver Behavior Models: What Do We Know, What Should We Do?
TL;DR: It is concluded that human factors research in the area of driver behavior has hardly been touched by the “cognitive revolution” that swept psychology in the past fifteen years.
Journal ArticleDOI
Car-following: a historical review
Mark Brackstone,Mike McDonald +1 more
TL;DR: In this article, the authors assess the range of options available in the choice of car-following model, and assess just how far work has proceeded in our understanding of what, at times, would appear to be a simple process.
Journal ArticleDOI
Nonlinear Effects in the Dynamics of Car Following
TL;DR: In this paper, it was shown that a small amplitude disturbance propagates through a series of cars in the manner described by linear theories, except that the dependence of the wave velocity on the car velocity causes an accleration wave to spread as it propagates and a deceleration wave forming a stable shock.
References
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Journal ArticleDOI
Traffic Dynamics: Studies in Car Following
TL;DR: In this paper, the acceleration at time t of a car attempting to follow a leader is proportional to the difference in velocity of the two cars at a time t-Δ, Δ being about 1.5 sec and the proportionality constant being about 0.37 sec-1.