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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Proceedings ArticleDOI
Robust design of a switched PI controller for an uncertain traffic model
TL;DR: A bank of robust PI controllers is proposed to design to ensure that the system follows the concentration references even in presence of parametric uncertainties and exogenous disturbances.
Journal ArticleDOI
Investigation of stochastic variation of parameters for a macroscopic traffic model
Elvira Thonhofer,Stefan Jakubek +1 more
TL;DR: The core idea is to utilize Monte Carlo Simulation to create a discretized lookup table for the density–speed relationship, which means computational effort is significantly reduced, while preserving the ability of the traffic model to reflect variation in the driving behavior.
Localized switching ramp-metering control with queue length estimation and regulation and microscopi
Xiaotian Sun,Roberto Horowitz +1 more
TL;DR: In this paper, a localized ramp-metering strategy for freeways that achieves the goal of reducing the spatial and temporal span of traffic congestion, using locally available information is presented.
Proceedings ArticleDOI
Throughput optimal distributed routing in dynamical flow networks
TL;DR: A class of distributed routing policies is shown to be throughput optimal for single-commodity dynamical flow networks and it is proven that, if no cut capacity constraint is violated by the external inflow, then a globally asymptotically stable equilibrium exists and the network achieves maximal throughput.
Enhancement of freeway incident traffic management and resulting benefits
TL;DR: In this paper, the authors developed a multi-criteria decision-support system for determining the necessity of detour operations during incident management from an overall socio-economic benefit perspective.
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.
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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.
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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.