In this paper, we develop a model of the behavior of visitors in an exhibition space, and design an amenity space to reduce congestion. Because the flow of visitors depends on the space layout, it is possible to reduce the congestion by changing the layout of exhibits. To deal with the congestion, a macro model of visitors is required. The flow of visitors is modeled by two-dimensional vector field and the individual behavior is represented by the dynamic model including collision avoidance of individuals. To model walking and stopping behaviors, we introduce an extended dimensional space where the extra coordinate represents the viewing time of each exhibition. The parameters in the proposed model are identified from the measured data of human flow line. To reduce the congestion, the layout of exhibits is optimized based on the proposed model by minimizing the collision avoidance vector. The proposed method is verified by simulations and experiments using swarm robots, which consist of autonomous mobile robots and radio controlled robots.
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