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     Research Journal of Applied Sciences, Engineering and Technology


Application of Mathematical Model of Evacuation for Large Stadium Building

Bing Zhang
Institute of Physical Education, Huanggang Normal University, Huangzhou, Hubei, 438000, China
Research Journal of Applied Sciences, Engineering and Technology  2013  4:1432-1440
http://dx.doi.org/10.19026/rjaset.5.4884  |  © The Author(s) 2013
Received: July 17, 2012  |  Accepted: August 28, 2012  |  Published: February 01, 2013

Abstract

The statistics of sports arena accidents show that the main reasons which leading to crowd stampede are the exports blockage and the poor surrounding transportations. In the process of evacuation, the most common problem is that there are a large number of people are stranded and also they are the main carrier which leading to crowded stampede. With large amounts of data and reasonable evaluations on staffs and transportation instruments. We propose inflow model in the crowding state, principle of maximum flow on channel design, optimal model of vehicle parking, evacuation model of subways and buses, according to sections of evacuation in stadiums. We analyze their usage area, marginal conditions and real data. Finally, we get some valuable results, which are curves of density and flow, evacuation time, formula for channel design, optimal parking design and formulas for evacuation time of subways and buses. Such data suits the real data from varied references. With the help of models and results, we get the total time of evacuation, simulation of progress and give parts of real situations of evacuation. According to such results, 100000 people’s evacuation can be finished in about 45 min. On such basis, we propose some optimal plans for stadium and its surroundings building.

Keywords:

Evacuation, large flow, mathematical model, stadium,


References


Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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