MASTER: macroscopic traffic simulation based on a gas-kinetic, non-local traffic model

Helbing, Dirk; Hennecke, Ansgar; Shvetsov, V. I.; Treiber, Martin

doi:10.1016/s0191-2615(99)00047-8

Cited by 196 publications

(91 citation statements)

References 53 publications

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“…It produces oscillations owing to a braking probability that can be constant or a function of the speed (Barlovic et al 1998(Barlovic et al , 2002, as do the second-order macroscopic models proposed by Khoshyaran & Lebacque (2007). Gas-kinetic models are inherently stochastic (Helbing & Treiber 1998;Shvetsov & Helbing 1999;Helbing et al 2001;Ngoduy et al 2006;Ngoduy 2008), but have decreased in popularity, probably because of the large number of non-physical parameters needed, and the complexity of their implementation. Del Castillo (2001) and Kim & Zhang (2008) took Newell's conjectures, supposed that the paths between the two congested branches were random and showed how this produces oscillations that grow or dissipate.…”

Section: Introductionmentioning

confidence: 99%

A mechanism to describe the formation and propagation of stop-and-go waves in congested freeway traffic

Laval

Leclercq

2010

Phil. Trans. R. Soc. A.

237

102

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This paper introduces a parsimonious theory for congested freeway traffic that describes the spontaneous appearance of oscillations and their ensuing transformation into stopand-go waves. Based upon the analysis of detailed vehicle-trajectory data, we conclude that timid and aggressive driver behaviours are the cause for this transformation. We find that stop-and-go waves arise independently of the details of these behaviours. Analytical and simulation results are presented.

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Section: Introductionmentioning

confidence: 99%

A mechanism to describe the formation and propagation of stop-and-go waves in congested freeway traffic

Laval

Leclercq

2010

Phil. Trans. R. Soc. A.

237

102

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“…It is still frequently used, and has been extended in many ways (Kühne, 1984;Kerner and Konhäuser, 1993;Hilliges et al, 1993;Daganzo, 1994;Helbing, 2003). Some of these macroscopic models have been derived from gas-kinetic traffic models (Prigogine,1961;Paveri-Fontana, 1975;Phillips, 1977;Hoogendoorn and Bovy, 1998;Helbing et al, 2001), others have been phenomenologically motivated.…”

Section: Introductionmentioning

confidence: 99%

Criticism of three-phase traffic theory

Schönhof

Helbing

2009

Transportation Research Part B: Methodological

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109

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“…de descrever a relação entre veículos, ruas, semáforos e outros componentes do trânsito, utilizando esses conceitos [3][4][5][6].…”

Section: Introductionunclassified

Modelagem computacional do tráfego de veículos pela teoria microscópica

Bogo¹,

Gramani²,

Kaviski³

2015

Rev. Bras. Ens. Fis.

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A necessidade de modelar o fluxo de veículos tem se tornado uma prioridade nos grandes centros urbanos e vias de trânsito em geral. Esse tipo de modelagem pode ser usado como ferramenta para estabelecer novas estratégias, políticas de gerência e controle de tráfego para melhorar a eficiência do sistema de transportes. O tráfego de veículos pode ser representado fisicamente por três escalas: microscópica, macroscópica e cinética. Na modelagem matemática de sistemas físicos complexos, tais como o tráfego, nenhuma representação destas escalasé efetivamente consistente com a física do sistema analisado. Por outro lado, os autômatos celulares vêm se destacando entre os principais modelos computacionais para simulação do tráfego de veículos devido a sua capacidade de representar as principais características do tráfego, utilizando regras simples e baixo custo computacional. A diferença nesse tipo de modelagemé de não envolver nenhum tipo de equação. O principal objetivo deste trabalhoé compreender o uso da modelagem computacional no estudo do tráfego de veículos por meio dos autômatos celulares. Issoé feito apresentando um modelo que emprega regras microscópicas na movimentação dos veículos em pista com uma faixa em sentidoúnico. Os resultados obtidos são os gráficos da densidade vs. fluxo, conhecido como diagrama fundamental, e da densidade vs. velocidade. Palavras-chave: modelagem do fluxo de tráfego, autômatos celulares. The necessity to model the flow of vehicles has become a priority in large urban centers and transit routes in general. This type of modeling can be used as a tool to establish new strategies, policy management and traffic control, to improve efficiency in the transport system. The vehicle traffic can be physically represented by three scales: microscopic, kinetic and macroscospic. In mathematical modeling of complex systems, such as traffic, none of these scale representations is effectively consistent with the physics of the system analyzed. On the other hand, cellular automata are distinct among the main computational models for simulation of vehicular traffic due to its ability to represent the principal characteristics of the traffic by using simple rules and low computational cost. The difference is that this type of modeling does not involve any kind of equation. The main objective of this work is to understand the use of computational modeling in the study of vehicular traffic through cellular automata. This is done by presenting a model that employs microscopic rules on movement of vehicles on the track with a single one-way road. The results are expressed through by graphs, flow vs. density, known as the fundamental diagram, and density vs. velocity.

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MASTER: macroscopic traffic simulation based on a gas-kinetic, non-local traffic model

Cited by 196 publications

References 53 publications

A mechanism to describe the formation and propagation of stop-and-go waves in congested freeway traffic

A mechanism to describe the formation and propagation of stop-and-go waves in congested freeway traffic

Criticism of three-phase traffic theory

Modelagem computacional do tráfego de veículos pela teoria microscópica

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