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Macroscopic modeling of pedestrian flow based on a second-order predictive dynamic model

機(jī)譯：基于二階預(yù)測動力學(xué)模型的行人流宏觀建模

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摘要

This work presents a second-order predictive dynamic model for pedestrian flow to investigate movement patterns and non-equilibrium phenomena in pedestrian traffic. This model is described as a system of nonlinear hyperbolic conservation laws with relaxation under the hypothesis that a group of pedestrians are regarded as a continuous anisotropic medium. The desired or preferred walking direction of pedestrians is assumed to minimize the total actual walking cost based on predictive traffic conditions, which satisfies the predictive dynamic user-equilibrium assignment. To solve this model, a cell-centered finite volume method for hyperbolic conservation laws coupled with a self-adaptive method of successive averages for an arisen discrete fixed point problem is adopted. The proposed model and algorithm are validated by comparing the results carried out by the model with experimental observations under non-congested conditions. Numerical examples are designed to investigate macroscopic features and path-choice behaviors of pedestrian flow. Numerical results indicate that the proposed model is able to reproduce some complex nonlinear phenomena in pedestrian traffic, such as the formation of congestions and stop-and-go waves.
機(jī)譯：這項(xiàng)工作為行人流量提供了一個二階預(yù)測動態(tài)模型，以研究行人交通中的運(yùn)動模式和非平衡現(xiàn)象。該模型被描述為一個非線性雙曲守恒律系統(tǒng)，其松弛假設(shè)是將一組行人視為連續(xù)各向異性介質(zhì)。假定行人的理想或首選步行方向是根據(jù)預(yù)測交通狀況將總實(shí)際步行成本減至最小，這滿足了預(yù)測動態(tài)用戶平衡分配。為了解決該模型，采用了雙曲線守恒律的以單元為中心的有限體積方法，以及針對出現(xiàn)的離散不動點(diǎn)問題的連續(xù)平均的自適應(yīng)方法。通過比較模型的執(zhí)行結(jié)果和在非擁擠條件下的實(shí)驗(yàn)觀察結(jié)果，驗(yàn)證了所提出的模型和算法。數(shù)值示例旨在研究行人流的宏觀特征和路徑選擇行為。數(shù)值結(jié)果表明，所提出的模型能夠重現(xiàn)行人交通中一些復(fù)雜的非線性現(xiàn)象，例如擁堵和走走停停的浪潮。

著錄項(xiàng)

  • 來源
    《Applied Mathematical Modelling》 |2016年第24期|9806-9820|共15頁
  • 作者單位

    Department of Mathematics, Southwest University of Science and Technology, Mianyang, Sichuan, China,Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics, Tsinghua University, Beijing, China;

    College of Computer Science, Inner Mongolia University, Hohhot, China;

    School of Engineering and Information Technology, University of New South Wales Canberra, ACT 2600, Australia;

    China Aerodynamics Research and Development Center, Mianyang, Sichuan, China;

  • 收錄信息 美國《科學(xué)引文索引》(SCI);美國《工程索引》(EI);
  • 原文格式 PDF
  • 正文語種 eng
  • 中圖分類
  • 關(guān)鍵詞

    Second-order model; Pedestrian flow; Predictive dynamic user-equilibrium; Non-equilibrium phenomena; Stop-and-go waves;

    機(jī)譯：二階模型人流;預(yù)測的動態(tài)用戶平衡;非平衡現(xiàn)象;走走停停的浪潮;

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