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Incidents and Intervention on Freeways

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TLDR
A kinematic wave model of traffic is applied and expressions are derived in closed form for a number of quantities of interest, including the maximum extent of the region, the time at which that occurs, relevant times for an intervention, and the effects of that on the size of the congested region.
Abstract
This paper focuses on the spatio-temporal aspects of congestion caused by an incident and the way in which this can be alleviated by a traffic management intervention. A kinematic wave model of traffic is applied to investigate the issues of congestion. Expressions are derived in closed form for a number of quantities of interest including the maximum extent of the region, the time at which that occurs, relevant times for an intervention, and the effects of that on the size of the congested region. Special forms of these expressions are established for the case of the linear speed-density relationship and calculations are performed to illustrate the application of the resulting analysis to examples of incidents both with and without intervention.

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Journal ArticleDOI

A Methodological Approach for Estimating Temporal and Spatial Extent of Delays Caused by Freeway Accidents

TL;DR: The research reported in this paper is to develop a method of quantifying the delay due to accidents on urban freeways, as well as to identify the causal factors affecting the total delay caused by such accidents.
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An analytical shock-fitting algorithm for LWR kinematic wave model embedded with linear speed–density relationship

TL;DR: In this article, a simple and efficient shock-fitting solution algorithm for the LWR model assuming a linear speed-density relationship or parabolic fundamental diagram was proposed, which is exact if the boundary conditions for density variable on the spatial axis are piecewise linear and those on the time axis were piecewise constant.
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Quantification of Nonrecurrent Congestion Delay Caused by Freeway Accidents and Analysis of Causal Factors

TL;DR: In this article, the authors proposed an analytical procedure to estimate congestion impact by using the difference between speed reduced by a traffic accident and accident-free normal flow speed, which can potentially be useful in making strategic plans and formulating mitigation measures for reducing nonrecurrent congestion delay caused by accidents on the South Korean freeway system.
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Frailty Models for the Estimation of Spatiotemporally Maximum Congested Impact Information on Freeway Accidents

TL;DR: This paper applies a previously developed procedure to capture the spatiotemporal accident impacts based on binary integer programming (BIP) to estimate two statistical models for providing maximum congested distance and time information due to freeway accidents.
Journal ArticleDOI

Estimating the spatiotemporal impact of traffic incidents: An integer programming approach consistent with the propagation of shockwaves

TL;DR: This research develops an integer programming model with a set of novel constraints to guarantee consistency in the shape of the affected region in the speed map that is computationally more efficient than the current state-of-the-art model.
References
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Journal Article

On kinetic waves, II . A theory of traffic flow on long crowded roads

TL;DR: In this paper, a functional relationship between flow and concentration for traffic on crowded arterial roads has been postulated for some time, and has experimental backing, from which a theory of the propagation of changes in traffic distribution along these roads may be deduced.
Journal ArticleDOI

On kinematic waves II. A theory of traffic flow on long crowded roads

TL;DR: The theory of kinematic waves is applied to the problem of estimating how a ‘hump’, or region of increased concentration, will move along a crowded main road, and is applicable principally to traffic behaviour over a long stretch of road.

A study of traffic capacity

TL;DR: The Recordograph traffic analysis was found to be an accurate method of determining the traffic capacity of highways and valuable aid in determining traffic conditions.
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