(2006) A velocity-difference-separation model for car-following theory
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Zhu, "Full velocity difference model for a car-following theory," Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, vol.
Tao, "Visual angle model for car-following theory," Physica A: Statistical Mechanics & Its Applications, vol.
As an important part of modern traffic flow theory, car-following theory
describes how the vehicle follows the vehicle ahead.
 develop a macroscopic continuum model based on a car-following theory
. This model overcomes the characteristic speed problem that exists in many high-order continuum models such as the Payne model.
For example, the car-following theory
could comprise the next-nearest neighbour effect in various lattice models, whereas optimal-velocity models give us an opportunity to model different situations, for example interacting vehicles having different characteristics (car and truck) or vehicles with different desired and optimal speeds.
Newell, "A simplified car-following theory
: a lower order model," Transportation Research Part B: Methodological, vol.
Xin, "Relative velocity difference model for the car-following theory," Nonlinear Dynamics, vol.
Zhou, "An extended visual angle model for car-following theory," Nonlinear Dynamics, vol.
Typical car-following theory
studies the reaction of following car to the speed change of preceding vehicle(s) and illustrates it with a mathematical model.