A class of multi-phase traffic theories for microscopic, kinetic and continuum traffic models
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TLDR
Numerical experiments show similarities and differences of the models, in particular, for the appearance and structure of stop and go waves for highway traffic in dense situations.Abstract:
In the present paper a review and numerical comparison of a special class of multi-phase traffic theories based on microscopic, kinetic and macroscopic traffic models is given. Macroscopic traffic equations with multi-valued fundamental diagrams are derived from different microscopic and kinetic models. Numerical experiments show similarities and differences of the models, in particular, for the appearance and structure of stop and go waves for highway traffic in dense situations. For all models, but one, phase transitions can appear near bottlenecks depending on the local density and velocity of the flow.read more
Citations
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Criticism of generally accepted fundamentals and methodologies of traffic and transportation theory: A brief review
TL;DR: The three-phase traffic theory is discussed as the basis for traffic flow modeling as well as the network breakdown minimization (BM) principle for the optimization of traffic and transportation networks with road bottlenecks.
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Failure of classical traffic flow theories: Stochastic highway capacity and automatic driving
TL;DR: A deep connection is shown between the understanding of empirical stochastic highway capacity and a reliable analysis of automatic driving vehicles in traffic flow and the increase in the probability of traffic breakdown throughautomatic driving vehicles can be realized, even if any platoon of automaticdriving vehicles satisfies condition for string stability.
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Comparative model accuracy of a data-fitted generalized Aw-Rascle-Zhang model
TL;DR: An approach to determine the parameter functions of the GARZ model from fundamental diagram measurement data is presented and the predictive accuracy of the resulting data-fitted GARz model is compared to other traffic models by means of a three-detector test setup.
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Effect of driver over-acceleration on traffic breakdown in three-phase cellular automaton traffic flow models
TL;DR: A new three-phase CA traffic flow model explains the set of the fundamental empirical features of traffic breakdown in real heterogeneous traffic flow consisting of passenger vehicles and trucks and simulates also quantitative traffic pattern characteristics as measured inreal heterogeneous flow.
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Macroscopic traffic flow modeling with adaptive cruise control
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References
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Book
Riemann Solvers and Numerical Methods for Fluid Dynamics
TL;DR: In this article, the authors present references and index Reference Record created on 2004-09-07, modified on 2016-08-08 and a reference record created on 2003-09 -07.
Journal ArticleDOI
Congested traffic states in empirical observations and microscopic simulations
TL;DR: It is shown that the results of the microscopic model can be understood by formulating the theoretical phase diagram for bottlenecks in a more general way, and a local drop of the road capacity induced by parameter variations has essentially the same effect as an on-ramp.
Journal ArticleDOI
Traffic and related self-driven many-particle systems
Dirk Helbing,Dirk Helbing +1 more
TL;DR: This article considers the empirical data and then reviews the main approaches to modeling pedestrian and vehicle traffic, including microscopic (particle-based), mesoscopic (gas-kinetic), and macroscopic (fluid-dynamic) models.
Journal ArticleDOI
Dynamical model of traffic congestion and numerical simulation
TL;DR: In this model, the legal velocity function is introduced, which is a function of the headway of the preceding vehicle, and the evolution of traffic congestion is observed with the development of time.
Book
Traffic flow fundamentals
TL;DR: The remaining portion of the book, Chapters 8 through 13, is devoted to analytical techniques involving the total traffic flow situation; chapter subjects are, respectively, demand-supply analysis, capacity analysis, traffic stream models, shock wave analysis, queueing analysis, and computer simulation models.