Continuum theory for pedestrian traffic flow: Local route choice modelling and its implications

Hoogendoorn, Serge P.; Wageningen-Kessels, Femke van; Daamen, Winnie; Duives, Dorine C.; Sarvi, Majid

doi:10.1016/j.trc.2015.05.003

Cited by 52 publications

(13 citation statements)

References 32 publications

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“…where U a and U b are as defined in (18). The rest of the model is the same as the model developed in Jiang et al [26].…”

Section: Reactive Dynamic User Equilibrium Modelsmentioning

confidence: 99%

“…where V (ρ) = U f 1 − ρ ρmax is the walking speed, g(ρ) = ρ 2 is the discomfort function, β reflects the sensitivity of the pedestrians' route choice to discomfort, and ρ max is the jam density. Hoogendoorn et al [18] suggest another model for combining the global and local route choice behaviors, where they consider multiple groups of pedestrians with different destinations. The com-posite cost function for each group, i, is defined as…”

Section: Combination Of Reactive and Predictive Route Choicementioning

confidence: 99%

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Dynamic traffic assignment using the macroscopic fundamental diagram: A Review of vehicular and pedestrian flow models

Aghamohammadi

Laval

2020

Transportation Research Part B: Methodological

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Traditional DTA models of large cities suffer from prohibitive computation times and calibration/validation can become major challenges faced by practitioners. The empirical evidence in 2008 in support of the existence of a Macroscopic Fundamental Diagram (MFD) on urban networks led to the formulation of discrete-space models, where the city is divided into a collection of reservoirs. Prior to 2008, a large body of DTA models based on pedestrian flow models had been formulated in continuum space as 2-dimensional conservation laws where the speed-density relationship can now be interpreted as the MFD. Perhaps surprisingly, we found that this continuum-space literature has been mostly unaware of MFD theory, and no attempts exist to verify the assumptions of MFD theory. This has the potential to create significant inconsistencies, and research is needed to analyze their extent and ways to resolve them. We also find that further research is needed to (i) incorporate departure time choice, (ii) improve existing numerical methods, possibly extending recent advances on the one-dimensional kinematic wave (LWR) model, (iii) study the properties of system optimum solutions, (iv) examine the real-time applicability of current continuum-space models compared to traditional DTA methods, and (v) formulate anisotropic models for the interaction of intersecting flows.

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“…where U a and U b are as defined in (18). The rest of the model is the same as the model developed in Jiang et al [26].…”

Section: Reactive Dynamic User Equilibrium Modelsmentioning

confidence: 99%

Section: Combination Of Reactive and Predictive Route Choicementioning

confidence: 99%

Dynamic traffic assignment using the macroscopic fundamental diagram: A Review of vehicular and pedestrian flow models

Aghamohammadi

Laval

2020

Transportation Research Part B: Methodological

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“…Particle-based pedestrian models have been studied in [144,145]. Continuum approximation of theoretical models have been proposed in [146,144,147,145,148,149]. Recent mean-field studies on crowd and pedestrian flows include [150,151,152,153,154].…”

Section: Civil Engineeringmentioning

confidence: 99%

Mean-Field-Type Games in Engineering

Djehiche

Tcheukam

Tembiné

2017

AIMS Electronics and Electrical Engineering

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“…The study of pedestrian flow has a long history (Helbing and Molnár, 1995;Helbing, 2001;Hughes 2002;Hoogendoorn and Bovy, 2004;Hoogendoorn and Daamen, 2005;Huang et al, 2009;Papadimitriou et al, 2009;Wong et al, 2010;Flötteröd and Lämmel, 2015;Hoogendoorn et al, 2015;Ma and Yarlagadda, 2015;Nikolic et al, 2016). With the rapid development of cities and the growth of population, this study becomes more and more critical in recent days.…”

Section: Introductionmentioning

confidence: 99%