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
Vehicle density estimation of freeway traffic with unknown boundary demand–supply: an interacting multiple model approach
Liguo Zhang,Xuerong Mao +1 more
TL;DR: This paper proposes a stochastic hybrid traffic flow model by extending the cell transmission model (CTM) with Markovian multi-mode switching and develops a novel interacting multiple model (IMM) filtering for simultaneous input and state estimation for discrete-timeMarkovian switching systems with unknown input.
Journal ArticleDOI
Selected mathematical problems of traffic flow theory
TL;DR: This article considers mathematical statements of problems and some analytical results from the follow-the-leader models to large-scale network models, and the corresponding class of nonlinear systems of ordinary differential equations is presented.
Measuring First-In-First-Out Violation Among Vehicles
Wen-Long Jin,Lianyu Chu,Yu Zhang +2 more
TL;DR: This study presents a measurement of FIFO violation among vehicles and theoretically shows that this measurement is well defined and applies this measurement in order to study scenarios simulated by a microscopic traffic simulator.
Journal ArticleDOI
Design and analysis of control strategies for pedestrian flows
TL;DR: This paper proposes a general framework for dynamic traffic management systems which takes into account the specificities of pedestrian traffic and illustrates the framework by using a control strategy designed for pedestrian flows that mitigates the issues induced by bidirectional flows.
Journal ArticleDOI
Feedback Control of the National Airspace System
Jerome Le Ny,Hamsa Balakrishnan +1 more
TL;DR: A general modeling framework adapted to the feedback control of traffic flows in Eulerian model is proposed to develop control laws that help prepare the National Airspace System for fast recovery from a weather event, given a probabilistic forecast of capacities.
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.
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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.