First-Order Macroscopic Modelling of Human Crowd Dynamics

Coscia, Vincenzo; Canavesio, C.

doi:10.1142/s0218202508003017

Cited by 105 publications

(59 citation statements)

References 31 publications

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“…The works by Colombo and Rosini [2005] and Coscia and Canavesio [2008] use the mass conservation equation, together with boundary conditions to model pedestrian strategies and panic conditions. In the same line, the work by Bellomo et al [2015] uses a parametrized mean velocity to reproduce different behaviours and the work by relates the macroscopic mass conservation equation with the microscopic social forces model.…”

Section: Mechanics Based Modelsmentioning

confidence: 99%

Modeling, Evaluation, and Scale on Artificial Pedestrians

et al. 2017

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Modeling pedestrian dynamics and their implementation in a computer are challenging and important issues in the knowledge areas of transportation and computer simulation. The aim of this paper is to provide a bibliographic outlook so that the reader could have a quick access to the most relevant works related with this problem. We have used three main axes to organise the paper contents: pedestrian models, validation techniques and multiscale approaches. The backbone of the paper is the classification of existing pedestrian models; we have organised the works in the literature under five categories, according to the techniques used for implementing the operational level in each pedestrian model. Then, the main existing validation methods, oriented to evaluate the behavioural quality of the simulation systems, are reviewed. Furthermore, we review the key issues that arise when facing multiscale pedestrian modeling, where we firstly focus on the behavioural scale (combinations of micro and macro pedestrian models) and secondly, on the scale size (from individuals to crowds). The paper begins introducing the main characteristics of walking dynamics and its analysis tools and concludes with a discussion about the contributions that different knowledge fields can do in a near future to this exciting area.

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Section: Mechanics Based Modelsmentioning

confidence: 99%

Modeling, Evaluation, and Scale on Artificial Pedestrians

et al. 2017

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“…Indeed, these models allow quite immediate application as documented in the paper by Coscia and Canavesio. 7 However, previous studies in other fields of living sciences, e.g. cellular dynamics in biology, can be properly developed to derive macroscopic equations from the underlying microscopic description, delivered by kinetic type models, as documented in papers 3 and 4.…”

Section: Scaling Problemsmentioning

confidence: 99%

On the Modelling Crowd Dynamics From Scaling to Hyperbolic Macroscopic Models

Bellomo

Dogbe

2008

Math. Models Methods Appl. Sci.

170

107

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This paper, that deals with the modelling of crowd dynamics, is the first one of a project finalized to develop a mathematical theory refereing to the modelling of the complex systems constituted by several interacting individuals in bounded and unbounded domains. The first part of the paper is devoted to scaling and related representation problems, then the macroscopic scale is selected and a variety of models are proposed according to different approximations of the pedestrian strategies and interactions. The second part of the paper deals with a qualitative analysis of the models with the aim of analyzing their properties. Finally, a critical analysis is proposed in view of further development of the modelling approach. Additional reasonings are devoted to understanding the conceptual differences between crowd and swarm modelling.

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“…Pedestrian movement is determined by a combination of three forces: destination driving force, obstacle repulsive force and repulsive force between pedestrians. • The hydrodynamic approach A macroscopic model, based on [6]. A crowd is considered in terms of locally averaged density and velocity, rather than a set of individuals.…”

Section: Lecture Hall Scenariomentioning

confidence: 99%

Cellular Automata as the basis of effective and realistic agent-based models of crowd behavior

2016

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The Cellular Automata (CA) paradigm has been recognized as an effective approach used in the modeling and simulation of complex systems. However, its classical form of a homogeneous and synchronous CA has a limited field of applications. For practical applications, non-homogeneous and asynchronous CAs with hybrid technological construction are especially useful in modeling and simulation. In this article, the authors focus on crowd simulations based on CA and agent-based modeling approaches. Basic technical aspects of large-scale crowd simulations are presented: specifically proposed architecture, our view on synchronization patterns, as well as hierarchy of objects in logic and data layer. A new method of agent conflict resolution is also proposed. Such an approach was successfully applied in the Allianz Arena stadium model, and other large-scale simulations developed by the authors. Thus, finally, practical applications of the models are presented.

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First-Order Macroscopic Modelling of Human Crowd Dynamics

Cited by 105 publications

References 31 publications

Modeling, Evaluation, and Scale on Artificial Pedestrians

Modeling, Evaluation, and Scale on Artificial Pedestrians

On the Modelling Crowd Dynamics From Scaling to Hyperbolic Macroscopic Models

Cellular Automata as the basis of effective and realistic agent-based models of crowd behavior

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