Influence of Rhythm and Velocity Variance on Pedestrian Flow
We have developed a simple model for pedestrians by dividing walking velocity into two parts, which are step size and pace of walking (number of steps per unit time). Theoretical analysis on pace indicates that rhythm that is slower than normal-walking pace in a low-density regime increases flow. We have verified this result by our experiment with real pedestrians.
The experimental result also indicates that the rhythm contribute to synchronize the movement of pedestrians. In order to investigate whether the synchronized movement improves pedestrian flow, we develop a variable transformation method and apply to the total asymmetric simple exclusion process and a simple evacuation model. Our theoretical result implies that pedestrian flow in a circuit increases, while pedestrian outflow decreases by the synchronized movement. We have examined the result of the circuit case by the real experiment again.
KeywordsRhythm Synchronization Variance Pedestrian dynamics Asymmetric simple exclusion process Cellular automaton
We thank Kozo Keikaku Engineering Inc. in Japan for the assistance of the experiment 1 in Sect. 4. This work is financially supported by the Japan Society for the Promotion of Science and the Japan Science and Technology Agency.
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