Application of the dynamic Monte Carlo method to pedestrian evacuation dynamics

Application of the dynamic Monte Carlo method to pedestrian evacuation dynamics
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DOI:
10.1016/j.amc.2023.127876
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发表时间:
2023-05
期刊:
Appl. Math. Comput.
影响因子:
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通讯作者:
Nutthavuth Tamang;Yi Sun
Nutthavuth Tamang;Yi Sun
中科院分区:
其他
文献类型:
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作者:
Nutthavuth Tamang;Yi Sun

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本文采用动态蒙特卡罗(DMC)方法研究了人群疏散动力学的二维点阵模型。该模型建立在微观阿伦尼乌斯动力学和排除规则的基础上,其中随机过程根据与房间出口的相对距离控制个体运动。尽管在紧急疏散过程中,个体的决策过程可能会很复杂,但我们的模型可以定量地估计他们撤离的时间,并预测在此过程中人群的新模式。结果显示,行人自发地聚集在出口,并在靠近门的地方形成一个拱形。DMC模拟和观测结果与文献中相应的研究结果一致。DMC算法由于其“无排斥”的主要特性而具有计算效率,这使其成为模拟大量行人疏散动态的合适工具。
In this study, we investigate a two-dimensional lattice model for crowd evacuation dynamics by using a dynamic Monte Carlo (DMC) method. This model is built on the microscopic Arrhenius dynamics along with the exclusion rule in which stochastic processes govern the individual movements depending on the relative distance to the room exit. Even though individual decision-making procedures can be complicated during the evacuation in an emergency, our model can quantitatively estimate the time for them to evacuate and predict the emerging patterns of the crowds during the process. The results exhibit the phenomena such that pedestrians spontaneously gather at the exit and form an arched shape close to the door. The DMC simulations and observations agree with the corresponding study in the literature. The DMC algorithm is computationally efficient due to its major property —“rejection-free”, which makes it a suitable tool to simulate evacuation dynamics for a large group of pedestrians.