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Modelling human perception processes in pedestrian dynamics: a hybrid approach

View Article: PubMed Central - PubMed

ABSTRACT

In this paper, we present a hybrid mathematical model describing crowd dynamics. More specifically, our approach is based on the well-established Helbing-like discrete model, where each pedestrian is individually represented as a dimensionless point and set to move in order to reach a target destination, with deviations deriving from both physical and social forces. In particular, physical forces account for interpersonal collisions, whereas social components include the individual desire to remain sufficiently far from other walkers (the so-called territorial effect). In this respect, the repulsive behaviour of pedestrians is here set to be different from traditional Helbing-like methods, as it is assumed to be largely determined by how they perceive the presence and the position of neighbouring individuals, i.e. either objectively as pointwise/localized entities or subjectively as spatially distributed masses. The resulting modelling environment is then applied to specific scenarios, that first reproduce a real-world experiment, specifically designed to derive our model hypothesis. Sets of numerical realizations are also run to analyse in more details the pedestrian paths resulting from different types of perception of small groups of static individuals. Finally, analytical investigations formalize and validate from a mathematical point of view selected simulation outcomes.

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(a,b) Experimental setting: a bus stop, indicated by the red line, is located at the opposite border of a pedestrian area. The pedestrian area has in turn a non-walkable flowerbed in the middle, which identifies two equal lanes that can be alternatively used by pedestrians to reach the bus stop. A sample initial position of the test individuals is identified by the red dot. (c) Plot summarizing the results of the experimental test. In the absence of field individuals (setting S1), the test walkers equally opted for each of the two lanes. In the other cases, the behaviour of the test pedestrians was completely determined by how they perceived the surrounding field individuals. If the test walkers did not feel completely safe (i.e. in the case of the shabbily dressed field individuals, setting S2(b)) or were not completely aware of the behaviour of the field individuals (i.e. in the case of strolling children, setting S2(c)), they unexpectedly opted for the overcrowded right lane. In (a) panel, the white dots finally indicate some typical positions of the field individuals.
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RSOS160561F1: (a,b) Experimental setting: a bus stop, indicated by the red line, is located at the opposite border of a pedestrian area. The pedestrian area has in turn a non-walkable flowerbed in the middle, which identifies two equal lanes that can be alternatively used by pedestrians to reach the bus stop. A sample initial position of the test individuals is identified by the red dot. (c) Plot summarizing the results of the experimental test. In the absence of field individuals (setting S1), the test walkers equally opted for each of the two lanes. In the other cases, the behaviour of the test pedestrians was completely determined by how they perceived the surrounding field individuals. If the test walkers did not feel completely safe (i.e. in the case of the shabbily dressed field individuals, setting S2(b)) or were not completely aware of the behaviour of the field individuals (i.e. in the case of strolling children, setting S2(c)), they unexpectedly opted for the overcrowded right lane. In (a) panel, the white dots finally indicate some typical positions of the field individuals.

Mentions: We studied the behaviour of individuals who aimed to reach a bus stop which extended over the entire opposite border of a pedestrian area. As illustrated in figure 1(a,b), the experimental domain of interest consisted of a pedestrian area (38 × 120 m) with a non-walkable flowerbed in the middle, which identifies two equal lanes that could be alternatively used to reach the bus stop. There were no obstacles in the middle of the lanes. We indeed investigated the individual choice of lane made by sets of single test pedestrians in the following configuration settings:


Modelling human perception processes in pedestrian dynamics: a hybrid approach
(a,b) Experimental setting: a bus stop, indicated by the red line, is located at the opposite border of a pedestrian area. The pedestrian area has in turn a non-walkable flowerbed in the middle, which identifies two equal lanes that can be alternatively used by pedestrians to reach the bus stop. A sample initial position of the test individuals is identified by the red dot. (c) Plot summarizing the results of the experimental test. In the absence of field individuals (setting S1), the test walkers equally opted for each of the two lanes. In the other cases, the behaviour of the test pedestrians was completely determined by how they perceived the surrounding field individuals. If the test walkers did not feel completely safe (i.e. in the case of the shabbily dressed field individuals, setting S2(b)) or were not completely aware of the behaviour of the field individuals (i.e. in the case of strolling children, setting S2(c)), they unexpectedly opted for the overcrowded right lane. In (a) panel, the white dots finally indicate some typical positions of the field individuals.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
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getmorefigures.php?uid=PMC5383809&req=5

RSOS160561F1: (a,b) Experimental setting: a bus stop, indicated by the red line, is located at the opposite border of a pedestrian area. The pedestrian area has in turn a non-walkable flowerbed in the middle, which identifies two equal lanes that can be alternatively used by pedestrians to reach the bus stop. A sample initial position of the test individuals is identified by the red dot. (c) Plot summarizing the results of the experimental test. In the absence of field individuals (setting S1), the test walkers equally opted for each of the two lanes. In the other cases, the behaviour of the test pedestrians was completely determined by how they perceived the surrounding field individuals. If the test walkers did not feel completely safe (i.e. in the case of the shabbily dressed field individuals, setting S2(b)) or were not completely aware of the behaviour of the field individuals (i.e. in the case of strolling children, setting S2(c)), they unexpectedly opted for the overcrowded right lane. In (a) panel, the white dots finally indicate some typical positions of the field individuals.
Mentions: We studied the behaviour of individuals who aimed to reach a bus stop which extended over the entire opposite border of a pedestrian area. As illustrated in figure 1(a,b), the experimental domain of interest consisted of a pedestrian area (38 × 120 m) with a non-walkable flowerbed in the middle, which identifies two equal lanes that could be alternatively used to reach the bus stop. There were no obstacles in the middle of the lanes. We indeed investigated the individual choice of lane made by sets of single test pedestrians in the following configuration settings:

View Article: PubMed Central - PubMed

ABSTRACT

In this paper, we present a hybrid mathematical model describing crowd dynamics. More specifically, our approach is based on the well-established Helbing-like discrete model, where each pedestrian is individually represented as a dimensionless point and set to move in order to reach a target destination, with deviations deriving from both physical and social forces. In particular, physical forces account for interpersonal collisions, whereas social components include the individual desire to remain sufficiently far from other walkers (the so-called territorial effect). In this respect, the repulsive behaviour of pedestrians is here set to be different from traditional Helbing-like methods, as it is assumed to be largely determined by how they perceive the presence and the position of neighbouring individuals, i.e. either objectively as pointwise/localized entities or subjectively as spatially distributed masses. The resulting modelling environment is then applied to specific scenarios, that first reproduce a real-world experiment, specifically designed to derive our model hypothesis. Sets of numerical realizations are also run to analyse in more details the pedestrian paths resulting from different types of perception of small groups of static individuals. Finally, analytical investigations formalize and validate from a mathematical point of view selected simulation outcomes.

No MeSH data available.


Related in: MedlinePlus