In recent years, the topic of car-following has become of increased importance in traffic
engineering and safety research. Models of this phenomenon, which describe the …

It is explained why the set of the fundamental empirical features of traffic breakdown (a
transition from free flow to congested traffic) should be the empirical basis for any traffic and …

Faced with the challenge of solving hard optimization problems that abound in the real
world, classical methods often encounter great difficulty. Vitally important applications in …

A theory is presented of how a driver might visually control his braking. A mathematical
analysis of the changing optic array at the driver's eye indicates that the simplest type of …

A variety of nonlinear follow-the-leader models of traffic flow are discussed in the light of
available observational and experimental data. Emphasis is placed on steady-state flow …

In this paper, we present a full velocity difference model for a car-following theory based on
the previous models in the literature. To our knowledge, the model is an improvement over …

It is assumed that the velocity of a car at time t is some (nonlinear) function of the spacial
headway at time t− Δ, so the equations of motion for a sequence of cars consists of a set of …

Trajectories drawn in a common reference system by all the vehicles on a road are the
ultimate empirical data to investigate traffic dynamics. The vast amount of such data made …

THE THEORY OF MULTIPLE-LANE TRAFFIC FLOW IS EXAMINED. A PREDICTION OF
THE CHARACTER OF THE TRAFFIC FLOW IS MADE AT ARBITARY DENSITY IN TERMS …

At the end of the 1970s we were curious to find out from exactly which assumptions various
transportation models could be derived, and to establish the fundamental relationships …