使用Cristiani-Santo-Menci方法对人群疏散的中场游戏分析
Ryosuke Yano1, Hisayasu Kuroda2
1Tokio Marine dR Co. ltd., 1-5-1, Otemachi, Chiyoda-ku, Tokyo 100-0004, Japan.
Physical review. E
|August 16, 2023
概括
这项研究使用平均场域游戏理论来模拟人群疏散,发现行人可预测性显著影响疏散效率,特别是交替出口可用性. 这项研究提供了对优化人群流动动力学的见解.
科学领域:
- 数学建模的数学建模
- 人群动力学 人群动力学
- 游戏理论 游戏理论
背景情况:
- 人群疏散是一个关键的安全问题.
- 了解行人行为是有效疏散的关键.
- 平均场游戏理论为分析大规模交互系统提供了一个框架.
研究的目的:
- 用平均场游戏理论研究人群疏散动态.
- 分析行人可预测性对疏散过程的影响.
- 探索诸如大规模扩散和退出策略等因素如何影响疏散.
主要方法:
- 应用克里斯蒂亚尼 - 圣托 - 门西方法.
- 解决汉密尔顿-雅各比-贝尔曼方程与福克-普朗克方程相结合.
- 人群疏散场景的数值模拟.
主要成果:
- 行人可预测性是影响疏散时间和效率的重要因素.
- 质量扩散,相互作用力和成本函数影响疏散动态.
- 交替的出口可用性策略会影响整体疏散性能.
结论:
- 平均场域游戏理论有效地模拟了人群疏散.
- 可以利用行人可预测性来优化疏散策略.
- 进一步的研究可以完善现实世界人群管理的模型.
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