群衆における対向流の表現に向けたASEPの拡張とその基本図について (可積分系数理における最近の展開)

Abstract

In recent years, the number of crowd collapses has increased with the increase in the number of large-scale events. Consequently, it is increasingly important to consider crowd control measures from the analysis of the models representing pedestrian dynamics. In this paper, we extend the well-known solvable system called asymmetric simple exclusion process as a bidirectional model and propose our model as equations. Moreover, we show analytically the flow inversion for a specific number of cells which can be observed in a real fundamental diagram in pedestrian flow.