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
Journal ArticleDOI
Game-Theoretic Modeling of Traffic in Unsignalized Intersection Network for Autonomous Vehicle Control Verification and Validation
TL;DR: This work proposes a game-theoretic approach to modeling vehicle interactions, in particular, for urban traffic environments with unsignalized intersections, and develops traffic models with heterogeneous and interactive vehicles based on this approach.
Journal ArticleDOI
An Integrated Control Model for Freeway Corridor Under Nonrecurrent Congestion
Yue Liu,Gang-Len Chang,Jie Yu +2 more
TL;DR: Extensive numerical tests on a segment along the I-95 corridor with its neighboring arterials have demonstrated the potential of the developed model for integrated freeway corridor control.
Journal ArticleDOI
Effects of autonomous vehicle behavior on arterial and freeway networks
TL;DR: In this paper, the authors present analyses of several highly congested arterial and freeway networks to quantify how reservations and reduced reaction times affect travel times and congestion, and show that signals outperformed reservations in a congested network with several close local road and arterial intersections because the capacity allocations of signals were more optimized.
Journal ArticleDOI
Analytical dynamic network loading problem: formulation, solution algorithms, and computer implementations
TL;DR: Computational results with a realworld traffic network emanating from the Amsterdam A10 beltway indicate that the developed computer implementations can solve the network loading problem in 2 min when a small discretization interval of 3.5 s is used.
Journal ArticleDOI
Towards Behavioral Modeling of Drivers in Mixed Traffic Conditions
TL;DR: A comprehensive review of the studies that consider modeling driver behavior in mixed traffic conditions and the challenges that are involved are discussed and some useful research directions are proposed.
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.