On the modelling of vehicular traffic and crowds by kinetic theory of active particles

Bellomo, Nicola; Bellouquid, Abdelghani

doi:10.1007/978-0-8176-4946-3_11

Cited by 15 publications

(17 citation statements)

References 53 publications

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“…Simulations confirm the qualitative behavior of Figure 8.1. These ideas have been generalized in [11] to model crowd dynamics. attractive research perspective which is partly motivated by the observation of the beauty of the shapes formed by birds which appear in the sky during spring and autumn periods.…”

Section: Modeling By the Kinetic Theory Of Active Particlesmentioning

confidence: 98%

“…Let us now look, with reference to the hints in [11], at modeling aspects. A necessary preliminary observation is that a crowd generally has a target, therefore some geometrical notations are necessary to identify it.…”

Section: Granular Models Of Crowdsmentioning

confidence: 99%

“…The above essential points have to be regarded, as already mentioned, as preliminary hints to develop a specific research program. A simple model is described in [11], where it is supposed that pedestrians move by only one velocity modulus along a fixed number of directions. A table of games models the passage from one direction to the other by taking into account the trend toward the target and the streaming effect of the other pedestrians.…”

Section: Granular Models Of Crowdsmentioning

confidence: 99%

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On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives

Bellomo¹,

Dogbe²

2011

SIAM Rev.

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383

284

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This paper presents a review and critical analysis of the mathematical literature concerning the modeling of vehicular traffic and crowd phenomena. The survey of models deals with the representation scales and the mathematical frameworks that are used for the modeling approach. The paper also considers the challenging objective of modeling complex systems consisting of large systems of individuals interacting in a nonlinear manner, where one of the modeling difficulties is the fact that these systems are difficult to model at a global level when based only on the description of the dynamics of individual elements. The review is concluded with a critical analysis focused on research perspectives that consider the development of a unified modeling strategy.

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Section: Modeling By the Kinetic Theory Of Active Particlesmentioning

confidence: 98%

Section: Granular Models Of Crowdsmentioning

confidence: 99%

Section: Granular Models Of Crowdsmentioning

confidence: 99%

See 1 more Smart Citation

On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives

Bellomo¹,

Dogbe²

2011

SIAM Rev.

Self Cite

383

284

View full text Add to dashboard Cite

show abstract

“…However, recent studies have shown the different behaviour of HV drivers during the car-following process [6,7] and lane changing manoeuvres [8] from those of passenger car (PC) drivers. The heterogeneous traffic flow characteristics and varying road conditions were explored at macroscopic level in details [9][10][11][12][13][14][15][16][17][18][19]. In contrast, the existing microscopic car-following models have not specifically considered the behaviour of HVs.…”

Section: Introductionmentioning

confidence: 99%

Modelling heavy vehicle car‐following behaviour in congested traffic conditions

Aghabayk

Sarvi

Forouzideh

et al. 2013

J of Advced Transportation

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SUMMARY This study develops a car‐following model in which heavy vehicle behaviour is predicted separately from passenger car. Heavy vehicles have different characteristics and manoeuvrability compared with passenger cars. These differences could create problems in freeway operations and safety under congested traffic conditions (level of service E and F) particularly when there is high proportion of heavy vehicles. With increasing numbers of heavy vehicles in the traffic stream, model estimates of the traffic flow could be degrades because existing car‐following models do not differentiate between these vehicles and passenger cars. This study highlighted some of the differences in car‐following behaviour of heavy vehicle and passenger drivers and developed a model considering heavy vehicles. In this model, the local linear model tree approach was used to incorporate human perceptual imperfections into a car‐following model. Three different real world data sets from a stretch of freeway in USA were used in this study. Two of them were used for the training and testing of the model, and one of them was used for evaluation purpose. The performance of the model was compared with a number of existing car‐following models. The results showed that the model, which considers the heavy vehicle type, could predict car‐following behaviour of drivers better than the existing models. Copyright © 2013 John Wiley & Sons, Ltd.

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“…On the microscopic level, models which are based on Newton's equations have been developed for traffic flow among many others in [32,7,24] and for pedestrian flow in [22,21,4]. See [5] for further references in both cases.…”

Section: Introductionmentioning

confidence: 99%

Coupling Traffic Flow Networks to Pedestrian Motion

Borsche

Klar

Kühn

et al. 2013

Math. Models Methods Appl. Sci.

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In the present paper scalar macroscopic models for traffic and pedestrian flows are coupled and the resulting system is investigated numerically. For the traffic flow the classical Lighthill-Whitham model on a network of roads and for the pedestrian flow the Hughes model are used. These models are coupled via terms in the fundamental diagrams modeling an influence of the traffic and pedestrian flow on the maximal velocities of the corresponding models. Several physical situations, where pedestrians and cars interact, are investigated.

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On the modelling of vehicular traffic and crowds by kinetic theory of active particles

Cited by 15 publications

References 53 publications

On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives

On the Modeling of Traffic and Crowds: A Survey of Models, Speculations, and Perspectives

Modelling heavy vehicle car‐following behaviour in congested traffic conditions

Coupling Traffic Flow Networks to Pedestrian Motion

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