Social force model for pedestrian dynamics

Social force model for pedestrian dynamics

20 May 1998 | Dirk Helbing and Péter Molnár
The social force model for pedestrian dynamics, proposed by Dirk Helbing and Péter Molnár, describes pedestrian motion as if they are subject to 'social forces' that reflect their internal motivations rather than direct environmental interactions. The model incorporates several force terms: one for acceleration towards a desired velocity, another for maintaining distance from others and borders, and a third for attractive effects. These forces result in nonlinearly coupled Langevin equations, which are used to simulate pedestrian behavior. Computer simulations demonstrate the model's ability to realistically describe collective pedestrian behaviors, such as lane formation and congestion. The model is based on the idea that pedestrian behavior can be understood through social forces, which are not physical forces but represent internal motivations. These forces include repulsive interactions between pedestrians, repulsion from borders, and attraction to other individuals or objects. The model accounts for the perception of situations, with situations perceived in the direction of motion having a stronger influence than those behind. The model has been validated through simulations showing the formation of lanes in pedestrian flows and the self-organization of pedestrian groups. It also explains phenomena such as the segregation effect in lane formation, which arises from pedestrian interactions rather than initial configurations. The model has applications in urban planning and traffic engineering, providing tools for designing pedestrian areas and managing crowd behavior. The social force model is extended to include route choice behavior, enhancing its applicability in traffic planning. Future research aims to apply the model to other social phenomena, such as opinion formation and group dynamics, by introducing abstract behavioral spaces. The model's simplicity and ability to describe complex pedestrian behaviors make it a valuable tool for understanding and predicting crowd dynamics.The social force model for pedestrian dynamics, proposed by Dirk Helbing and Péter Molnár, describes pedestrian motion as if they are subject to 'social forces' that reflect their internal motivations rather than direct environmental interactions. The model incorporates several force terms: one for acceleration towards a desired velocity, another for maintaining distance from others and borders, and a third for attractive effects. These forces result in nonlinearly coupled Langevin equations, which are used to simulate pedestrian behavior. Computer simulations demonstrate the model's ability to realistically describe collective pedestrian behaviors, such as lane formation and congestion. The model is based on the idea that pedestrian behavior can be understood through social forces, which are not physical forces but represent internal motivations. These forces include repulsive interactions between pedestrians, repulsion from borders, and attraction to other individuals or objects. The model accounts for the perception of situations, with situations perceived in the direction of motion having a stronger influence than those behind. The model has been validated through simulations showing the formation of lanes in pedestrian flows and the self-organization of pedestrian groups. It also explains phenomena such as the segregation effect in lane formation, which arises from pedestrian interactions rather than initial configurations. The model has applications in urban planning and traffic engineering, providing tools for designing pedestrian areas and managing crowd behavior. The social force model is extended to include route choice behavior, enhancing its applicability in traffic planning. Future research aims to apply the model to other social phenomena, such as opinion formation and group dynamics, by introducing abstract behavioral spaces. The model's simplicity and ability to describe complex pedestrian behaviors make it a valuable tool for understanding and predicting crowd dynamics.
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