A pedestrian flow model considering the impact of local density: Voronoi diagram based heuristics approach

Xiao, Yao; Gao, Ziyou; Qu, Yunchao; Li, Xingang

doi:10.1016/j.trc.2016.05.012

Cited by 87 publications

(63 citation statements)

References 41 publications

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“…In traditional simulation scenes (e.g. corridor and bottleneck), both models have solid performance Helbing & Molnar (1995); Helbing et al (2000); Xiao et al (2016); Qu et al (2018). The related indexes are calculated based on the simulated pedestrian trajectories, and the evaluation results of the two models are presented in Fig.…”

Section: Simulation and Evaluationmentioning

confidence: 99%

Investigation of pedestrian dynamics in circle antipode experiments: Analysis and model evaluation with macroscopic indexes

Xiao

Gao

Jiang

et al. 2019

Transportation Research Part C: Emerging Technologies

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To explore the pedestrian motion navigation and conflict reaction mechanisms in practice, we organized a series of circle antipode experiments. In the experiments, pedestrians are uniformly initialized on the circle and required to leave for their antipodal positions simultaneously. On the one hand, a conflicting area is naturally formulated in the center region due to the converged shortest routes, so the practical conflict avoidance behaviors can be fully explored. On the other hand, the symmetric experimental conditions of pedestrians, e.g., symmetric starting points, symmetric destination points, and symmetric surroundings, lay the foundation for further quantitative comparisons among participants. The pedestrian trajectories in the experiments are recognized and rotated, and several aspects, e.g., the trajectory space distribution, route length, travel time, velocity distribution, and timeseries, are investigated. It is found that: (1) Pedestrians prefer the right-hand side during the experiments; (2) The route length is as the law of log-normal distribution, the route potential obeys the exponential distribution, and the travel time is normally distributed as well as the speed; (3) Taking the short routes unexpectedly cost pedestrians plenty of travel time, while detour seems to be a time-saving decision.What's more, the series of experiments can be regarded as a basis of the model evaluation benefit from the serious conflicts and the symmetric conditions. The evaluation framework contains four distribution indexes and two time series indexes in space and time dimensions, and they are respectively graded according to the K-S test and the DTW method. A traditional social force model and a Voronoi diagram based modification are introduced to test the evaluation framework. The evaluation results show that the framework is beneficial to evaluate pedestrian models and even reflects the minor differences between the models.

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Section: Simulation and Evaluationmentioning

confidence: 99%

Investigation of pedestrian dynamics in circle antipode experiments: Analysis and model evaluation with macroscopic indexes

Xiao

Gao

Jiang

et al. 2019

Transportation Research Part C: Emerging Technologies

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“…Various approaches are available for modeling pedestrian steering behavior, including the pedestrian stream model [39], the Voronoi diagram based approach [40], and dynamic floor field models [41][42][43][44]. Among these approaches, the dynamic floor field models have been widely applied to model pedestrian steering behavior.…”

Section: Steering Behavior Of Passersbymentioning

confidence: 99%

Jamming transitions induced by an attraction in pedestrian flow

Kwak

Luttinen

et al. 2017

Phys. Rev. E

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We numerically study jamming transitions in pedestrian flow interacting with an attraction, mostly based on the social force model for pedestrians who can join the attraction. We formulate the joining probability as a function of social influence from others, reflecting that individual choice behavior is likely influenced by others. By controlling pedestrian influx and the social influence parameter, we identify various pedestrian flow patterns. For the bidirectional flow scenario, we observe a transition from the free flow phase to the freezing phase, in which oppositely walking pedestrians reach a complete stop and block each other. On the other hand, a different transition behavior appears in the unidirectional flow scenario, i.e., from the free flow phase to the localized jam phase and then to the extended jam phase. It is also observed that the extended jam phase can end up in freezing phenomena with a certain probability when pedestrian flux is high with strong social influence. This study highlights that attractive interactions between pedestrians and an attraction can trigger jamming transitions by increasing the number of conflicts among pedestrians near the attraction. In order to avoid excessive pedestrian jams, we suggest suppressing the number of conflicts under a certain level by moderating pedestrian influx especially when the social influence is strong.

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“…In this work, based on the features of Voronoi diagram, three basic direction choices are introduced and defined. It is noted that the three basic direction choices proposed in this paper are a little bit different from the formal definitions [13], mainly the following direction takes place of the fine-tuning direction. The combination of destination direction, following direction and detour direction, is believed to have a better performance in realizing the pedestrian behaviors.…”

Section: Introductionmentioning

confidence: 97%

“…Voronoi diagram [9,10] is considered to have potential in both understanding pedestrian behavior [11,12] and modeling pedestrian dynamics [13]. The Voronoi diagram is a partitioning of a plane into regions based on distance to points in a specific subset of the plane.…”

Section: Introductionmentioning

confidence: 99%

“…The method is capable of obtaining a fundamental diagram with fewer fluctuations. Concerning the modeling of pedestrian dynamics [13], the Voronoi diagram of pedestrians is also introduced. According to three characteristic directions, i.e., destination direction, detour direction, and fine-tuning direction, a pedestrian recognition process is formulated for pedestrian motion.…”

Section: Introductionmentioning

confidence: 99%

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Investigation of Voronoi diagram based direction choices using uni- and bi-directional trajectory data

Xiao

Chraibi

et al. 2018

Phys. Rev. E

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In a crowd, individuals make different motion choices such as "moving to destination," "following another pedestrian," and "making a detour." For the sake of convenience, the three direction choices are respectively called destination direction, following direction, and detour direction in this paper. Here, it is found that the featured direction choices could be inspired by the shape characteristics of the Voronoi diagram. To be specific, in the Voronoi cell of a pedestrian, the direction to a Voronoi node is regarded as a potential "detour" direction and the direction perpendicular to a Voronoi link is regarded as a potential "following" direction. A pedestrian generally owns several alternative Voronoi nodes and Voronoi links in a Voronoi cell, and the optimal detour and following direction are determined by considering related factors such as deviation. Plus the destination direction which is directly pointing to the destination, the three basic direction choices are defined in a Voronoi cell. In order to evaluate the Voronoi diagram based basic directions, the empirical trajectory data in both uni- and bi-directional flow experiments are extracted. A time series method considering the step frequency is used to reduce the original trajectories' swaying phenomena which might disturb the recognition of actual forward direction. The deviations between the empirical velocity direction and the basic directions are investigated, and each velocity direction is classified into a basic direction or regarded as an inexplicable direction according to the deviations. The analysis results show that each basic direction could be a potential direction choice for a pedestrian. The combination of the three basic directions could cover most empirical velocity direction choices in both uni- and bi-directional flow experiments.

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A pedestrian flow model considering the impact of local density: Voronoi diagram based heuristics approach

Cited by 87 publications

References 41 publications

Investigation of pedestrian dynamics in circle antipode experiments: Analysis and model evaluation with macroscopic indexes

Investigation of pedestrian dynamics in circle antipode experiments: Analysis and model evaluation with macroscopic indexes

Jamming transitions induced by an attraction in pedestrian flow

Investigation of Voronoi diagram based direction choices using uni- and bi-directional trajectory data

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