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
Reversibility of the time-dependent shortest path problem
TL;DR: In this article, it was shown that any algorithm that solves the forward shortest path problem on a network with first-in-first-out (FIFO) links also solves the backward shortest-path problem on the same network.
Dissertation
An Incident Detection Algorithm Based On a Discrete State Propagation Model of Traffic Flow
Journal ArticleDOI
Closed-form multiclass cell transmission model enhanced with overtaking, lane-changing, and first-in first-out properties
TL;DR: The numerical results show that FM-CTM outperforms the other two models by 15% of accuracy measures in most cases, and is expected to be well applicable to the road network with a mixed traffic and varying number of lanes.
Journal ArticleDOI
A nonlinear equation system approach to the dynamic stochastic user equilibrium simultaneous route and departure time choice problem
TL;DR: In this article, the authors formulated the DSUE-SRDTC problem with fixed demand as a system of nonlinear equations and formulated the mapping function as a dynamic route choice problem with a strictly monotone mapping function under some assumptions.
Journal ArticleDOI
Dual influences on vehicle speed in special-use lanes and critique of US regulation
Kitae Jang,Michael J. Cassidy +1 more
TL;DR: It is verified that slow speeds in a special-use lane, such as a carpool or bus lane, can be due to both, high demand for that lane and slow speed in the adjacent regular- use lane.
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.
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.