Design of evacuation strategies with crowd density feedback

基于人群概率密度的拥塞控制设计

Science China Information Sciences volume 59, pages1–11(2016)Cite this article

Abstract

A second-order stochastic model describing a large scale crowd is formulated, and an efficient evacuation strategy for agents in complex surroundings is proposed and solved numerically. The method consists in reshaping the crowd contour by making use of the crowd density feedback that is commonly available from geolocation technologies, and Kantorovich distance is used to transport the current shape into the desired one. The availability of the crowd density enables to solve the otherwise challenging forward-backward problem. Using this approach, we demonstrate via numerical results that the crowd migrates through the complex environment as designed.

中文概要

本文提出了可以描述大规模人群运动的多自体模型,其中每个个体的运动模型由一个二阶随机微分方程来描述,个体之间通过吸引力-排斥力模型相互耦合。从控制人群形状的角度出发设计了在复杂环境中有效防止人群拥塞的反馈控制率。通过数值模拟验证了所提模型的合理性和控制率的有效性。不同于以往的研究,本文首次采用了统计概率密度信息来设计反馈控制率。通过Kantorovich距离比较当前概率密度和目标概率密度,并保证了人群形状的变化在个体移动距离总和的层面上是最优的。该方法有效避免了求解高维耦合Fokker-Planck方程所带来的困难,并且给mean-field模型的研究提供了新思路。

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Affiliations

  1. Department of mathematics, Royal Institute of Technology, Stockholm, SE-10044, Sweden

    Luyuan Qi & Xiaoming Hu

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  1. Luyuan Qi
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  2. Xiaoming Hu
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Correspondence to Luyuan Qi or Xiaoming Hu.

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Qi, L., Hu, X. Design of evacuation strategies with crowd density feedback. Sci. China Inf. Sci. 59, 1–11 (2016). https://doi.org/10.1007/s11432-015-5508-2

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Keywords

  • crowd dynamics
  • multi-agent system
  • stochastic differential equation
  • optimal control
  • congestion control
  • 010204

关键词

  • 大规模人群动力系统
  • 多自体系统
  • 随机微分方程模型
  • 最优控制
  • 拥塞控制