Crowd dynamics and safety

Bellomo, Nicola; Clarke, David D.; Gibelli, Livio; Townsend, Paul; Vreugdenhil, B.J.

doi:10.1016/j.plrev.2016.08.014

Cited by 5 publications

(1 citation statement)

References 75 publications

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“…groups and lanes, and non-rational dynamics as in a panic situation. A good knowledge of a pedestrian and, more generally, crowd flow scenario is of utmost importance for urban management and safe evacuation [ 3 , 4 ], hence the importance of realistic modelling and simulation, notably with the help of mathematical and computational tools.…”

Section: Introductionmentioning

confidence: 99%

Pedestrian motion modelled by Fokker–Planck Nash games

2017

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A new approach to modelling pedestrians' avoidance dynamics based on a Fokker–Planck (FP) Nash game framework is presented. In this framework, two interacting pedestrians are considered, whose motion variability is modelled through the corresponding probability density functions (PDFs) governed by FP equations. Based on these equations, a Nash differential game is formulated where the game strategies represent controls aiming at avoidance by minimizing appropriate collision cost functionals. The existence of Nash equilibria solutions is proved and characterized as a solution to an optimal control problem that is solved numerically. Results of numerical experiments are presented that successfully compare the computed Nash equilibria to the output of real experiments (conducted with humans) for four test cases.

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Section: Introductionmentioning

confidence: 99%