Journal ArticleDOI
The cell transmission model, part ii: network traffic
TLDR
This article shows how the evolution of multi-commodity traffic flows over complex networks can be predicted over time, based on a simple macroscopic computer representation of traffic flow that is consistent with the kinematic wave theory under all traffic conditions.Abstract:
This article shows how the evolution of multi-commodity traffic flows over complex networks can be predicted over time, based on a simple macroscopic computer representation of traffic flow that is consistent with the kinematic wave theory under all traffic conditions. The method does not use ad hoc procedures to treat special situations. After a brief review of the basic model for one link, the article describes how three-legged junctions can be modeled. It then introduces a numerical procedure for networks, assuming that a time-varying origin-destination (O-D) table is given and that the proportion of turns at every junction is known. These assumptions are reasonable for numerical analysis of disaster evacuation plans. The results are then extended to the case where, instead of the turning proportions, the best routes to each destination from every junction are known at all times. For technical reasons explained in the text, the procedure is more complicated in this case, requiring more computer memory and more time for execution. The effort is estimated to be about an order of magnitude greater than for the static traffic assignment problem on a network of the same size. The procedure is ideally suited for parallel computing. It is hoped that the results in the article will lead to more realistic models of freeway flow, disaster evacuations and dynamic traffic assignment for the evening commute.read more
Citations
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Journal ArticleDOI
Numerical Investigation of Stop-and-Go Traffic Patterns Upstream of Freeway Lane Drop
H.M. Zhang,H.M. Zhang,Wei Shen +2 more
TL;DR: A numerical investigation into the formation of traffic oscillations upstream of a freeway lane drop-in finds that a lane-drop site with low remaining capacity, high travel demand, short distance between the merging sign and the tapers, and an imbalance in merging priorities at the taper location is most likely to produce oscillations with short periods and high oscillation amplitudes in flow.
Book ChapterDOI
Vehicular Traffic III: Other CA Models
TL;DR: The most popular and successful extensions of the NaSch model are discussed, although they briefly include some other models which have introduced novel interesting aspects into the dynamics, like slow-to-start rules, anticipation and sychronized traffic.
Proceedings ArticleDOI
MILP control of aggregate Eulerian network airspace models
TL;DR: A new Eulerian model of airspace is derived and applied to high altitude traffic for a full air traffic control center of the National Airspace System, in which the state is a vector of aggregate aircraft counts.
Journal ArticleDOI
A mixed integer programming formulation and scalable solution algorithms for traffic control coordination across multiple intersections based on vehicle space-time trajectories
TL;DR: A new multi-intersection phase (MI-phase) is proposed to represent safe vehicle movements across a few tightly connected intersections and can provide more flexibilities for traffic control coordination than the traditional Cycle-Split-Offset approach.
Multiscale Modeling of Traffic Flow
TL;DR: A consistent modeling approach is proposed based on field theory and modeling strategies at each of the four scales and a few special cases are formulated at both microscopic and macroscopic scales.
References
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Journal ArticleDOI
Shock Waves on the Highway
TL;DR: In this article, a simple theory of traffic flow is developed by replacing individual vehicles with a continuous fluid density and applying an empirical relation between speed and density, which is a simple graph-shearing process for following the development of traffic waves.
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.
Journal ArticleDOI
A simplified theory of kinematic waves in highway traffic, part I: General theory
TL;DR: In this paper, it is shown how a formal solution for A ( x, t ) can be evaluated directly from boundary or initial conditions without evaluation at intermediate times and positions, and the correct solution, which is the lower envelope of all such formal solutions, will automatically have discontinuities in slope describing the passage of a shock.
Journal ArticleDOI
A simplified theory of kinematic waves in highway traffic, part II: Queueing at freeway bottlenecks
TL;DR: In this article, the authors proposed a method to relate the cumulative flow curve at any junction to the net cumulative entrance flow at this junction, and the cumulative curve for the freeway at the next upstream junction and/or the next downstream junction.