Lattice gas model is a kind of mature and convenient pedestrian simulation model. The original lattice gas model adopts discontinuous step length and finite moving directions to simulate crowd motion, which will lead to some unreasonable movements; besides, the transition probability used in this model is often manually designed and lacks the verification of realistic pedestrian trajectories. Based on an open pedestrian trajectory dataset, we first derived the relationship between local density and the distribution of pedestrian movements’ length and then proposed an extended lattice gas model considering the statistical characteristics of pedestrian movements, which extends the concept of transition probability in the original lattice gas model to distribution of pedestrian movements’ length in two perpendicular directions. The proposed model is applied to a scenario which is the same as the experiments of the open dataset, and the numerical results demonstrate that the proposed model can reproduce the fundamental diagrams and the transition probability of the experimental dataset well. This study is helpful to understand the statistical characteristics of pedestrian movements and can improve the applicability and accuracy of the lattice gas model.

中文翻译：

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具有行人运动统计特征的走廊中单向人群运动建模

格子气体模型是一种成熟便捷的行人模拟模型。原始的晶格气体模型采用不连续的步长和有限的移动方向来模拟人群运动，这将导致一些不合理的运动。此外，该模型中使用的过渡概率通常是手动设计的，并且缺乏对真实行人轨迹的验证。基于开放的行人轨迹数据集，我们首先导出了局部密度与行人运动长度分布之间的关系，然后提出了一种基于行人运动统计特征的扩展格子气体模型，该模型扩展了原先的过渡概率概念格子气体模型，用于在两个垂直方向上分布行人运动的长度。将该模型应用于与开放数据集实验相同的场景，数值结果表明，该模型能够很好地再现实验数据集的基本图和转移概率。这项研究有助于理解行人运动的统计特征，并可以提高格状气模型的适用性和准确性。