It is postulated that lane-changing vehicles create voids in traffic streams, and that these voids reduce flow. This mechanism is described with a model that tracks lane changers precisely, asâ€¦ (More)

This paper introduces a parsimonious theory for congested freeway traffic that describes the spontaneous appearance of oscillations and their ensuing transformation into stop-and-go waves. Based uponâ€¦ (More)

This paper applies the theory of Hamilton-Jacobi partial differential equations to the case of first-order traffic flow models. The traffic flow surface is analyzed with respect to the threeâ€¦ (More)

This report is part of PATH Task Order 4141 and shows how moving obstructions can be modeled numerically with kinematic wave theory. It shows that if a moving obstruction is replaced by a sequence ofâ€¦ (More)

This paper shows that a wide range of stochastic extensions of the kinematic wave model tend to the same parameter-free expression for the probability of congestion at a given time-space point. Thisâ€¦ (More)

This paper studies the system optimum dynamic traffic assignment in a network consisting of a hypothetical surface street grid and a congested freeway section. Vehicles can be diverted throughâ€¦ (More)

This paper introduces a multi-lane hybrid theory that treats lane-changing as temporary blockages, because this is what is physically observed in reality. For maximum accuracy lanechanging vehiclesâ€¦ (More)

In this paper, congestion dynamics along crowded freeway corridors are modeled as a conservation law with a source term that is continuous in space. The source term represents the net inflow fromâ€¦ (More)

This paper analyzes the dynamic traffic assignment problem on a two-alternative network with one alternative subject to a dynamic pricing that responds to real-time arrivals in a system optimal way.â€¦ (More)

This paper studies the system optimum dynamic traffic assignment in a network consisting of a surface street grid and a congested freeway section. Vehicles can be diverted through off-ramps andâ€¦ (More)