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
More filters
Simulation of Surrounding Vehicles in Driving Simulators
TL;DR: Driving simulators and microscopic traffic simulation are important tools for making evaluations of driving and traffic and are used to condense real driving into a simulation.
Proceedings ArticleDOI
Distributed flight routing and scheduling in air traffic flow management
TL;DR: A distributed air traffic flow management strategy to minimize the airport departure and arrival schedule deviations is proposed and a heuristic algorithm based on forward-backward propagation is proposed to obtain the final integer solution.
Journal ArticleDOI
Performance of continuum models for realworld traffic flows: Comprehensive benchmarking
TL;DR: A comprehensive benchmarking study on single-pipe continuum models by using traffic data from the German A5 autobahn and comprehensively discusses the performances of each model regarding each aspect of the benchmarking criteria.
Journal ArticleDOI
Stability and bifurcation in network traffic flow: A Poincaré map approach
TL;DR: This study demonstrates that the Poincare map approach can be efficiently applied to analyze traffic dynamics in any road networks with circular information propagation and provides new insights into unstable traffic dynamics caused by interactions among network bottlenecks.
Journal ArticleDOI
Dynamic Resource Allocation Problem for Transportation Network Evacuation
Xiaozheng He,Srinivas Peeta +1 more
TL;DR: In this paper, a mixed integer linear program (MILP) model is proposed to address the dynamic resource allocation problem for transportation evacuation planning and operations, which includes spatiotemporal constraints related to the time required to reallocate resources to another location, the minimum time allocated resources should be at a location, and the time gap between successive allocations of resources to a location.
References
More filters
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.