Robust design optimization for egressing pedestrians in unknown environments

Cristiani, Emiliano; Peri, Daniële

doi:10.1016/j.apm.2019.03.023

Cited by 17 publications

(9 citation statements)

References 33 publications

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“…As in Subsection 3.2, the dependence of the model coefficients on the smoke is marked via a smooth relationship with respect to an a priori given function s(x, t) describing the distribution of smoke inside the geometry at position x and time t. Note that the passive pedestrians do not posses any knowledge on the geometry of the walking space. In particular, the location of the exit is unknown; see [11] for a somewhat related context.…”

Section: Passive Populationmentioning

confidence: 99%

Well-posedness of a coupled system of Skorohod-like stochastic differential equations

Thieu,

Muntean

2020

Preprint

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We study the existence and uniqueness of solutions to a coupled nonlinear system of Skorohod-like stochastic differential equations with reflecting boundary condition. The setting describes the evacuation dynamics of a mixed crowd composed of both active and passive pedestrians moving through a domain with obstacles, fire and smoke. As main working techniques, we use compactness methods and the Skorohod's representation of solutions to SDEs posed in bounded domains. The challenge is to handle the coupling and the nonlinearities present in the model equations together with the multipleconnectedness of the domain and the pedestrian-obstacle interaction.

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Section: Passive Populationmentioning

confidence: 99%

Well-posedness of a coupled system of Skorohod-like stochastic differential equations

Thieu,

Muntean

2020

Preprint

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“…See, among others, [41,45,52,57,64,77]. In other papers, instead, optimization algorithms are used, see [32,33,37,59,60,75,80]. Note that, the resulting optimization problem typically is non convex and high dimensional.…”

Section: Crowd Dynamics Controlmentioning

confidence: 99%

Mathematical models and methods for crowd dynamics control

Albi,

Cristiani,

Pareschi

et al. 2019

Preprint

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In this survey we consider mathematical models and methods recently developed to control crowd dynamics, with particular emphasis on egressing pedestrians. We focus on two control strategies: The first one consists in using special agents, called leaders, to steer the crowd towards the desired direction. Leaders can be either hidden in the crowd or recognizable as such. This strategy heavily relies on the power of the social influence (herding effect), namely the natural tendency of people to follow group mates in situations of emergency or doubt. The second one consists in modify the surrounding environment by adding in the walking area multiple obstacles optimally placed and shaped. The aim of the obstacles is to naturally force people to behave as desired. Both control strategies discussed in this paper aim at reducing as much as possible the intervention on the crowd. Ideally the natural behavior of people is kept, and people do not even realize they are being led by an external intelligence. Mathematical models are discussed at different scales of observation, showing how macroscopic (fluid-dynamic) models can be de-

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“…Among the factors undermining our understanding of crowd flows is the inherent technical challenge of collecting accurate measurements at large spatial and time scales. Thus, the majority of the studies in pedestrian dynamics have leveraged on qualitative simulations [16] via microscopic [17][18][19][20] or macroscopic numerical models [21][22][23]. Routing has also been addressed via questionnaires (e.g.…”

Section: Introductionmentioning

confidence: 99%

Fluctuations in pedestrian dynamics routing choices

Gabbana¹,

Toschi²,

Ross³

et al. 2022

Preprint

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Routing choices of walking pedestrians in geometrically complex environments are regulated by the interplay of a multitude of factors such as local crowding, (estimated) time to destination, (perceived) comfort. As individual choices combine, macroscopic traffic flow patterns emerge. Understanding the physical mechanisms yielding macroscopic traffic distributions in environments with complex geometries is an outstanding scientific challenge, with implications in the design and management of crowded pedestrian facilities. In this work, we analyze, by means of extensive real-life pedestrian tracking data, unidirectional flow dynamics in an asymmetric setting, as a prototype for many common complex geometries. Our environment is composed of a main walkway and a slightly longer detour. Our measurements have been collected during a dedicated high-accuracy pedestrian tracking campaign held in Eindhoven (The Netherlands). We show that the dynamics can be quantitatively modeled by introducing a collective discomfort function, and that fluctuations on the behavior of single individuals are crucial to correctly recover the global statistical behavior. Notably, the observed traffic split substantially departs from an optimal, transport-wise, partition, as the global pedestrian throughput is not maximized.

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Robust design optimization for egressing pedestrians in unknown environments

Cited by 17 publications

References 33 publications

Well-posedness of a coupled system of Skorohod-like stochastic differential equations

Well-posedness of a coupled system of Skorohod-like stochastic differential equations

Mathematical models and methods for crowd dynamics control

Fluctuations in pedestrian dynamics routing choices

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