| 人口密集场所紧急疏散问题的数学模型及其优化解 |
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| 引用本文： | 张艳芳,袁静,王福昌,赵宜宾,赵永安. 人口密集场所紧急疏散问题的数学模型及其优化解[J]. 数学的实践与认识, 2009, 39(24) |
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| 作者姓名： | 张艳芳 袁静 王福昌 赵宜宾 赵永安 |
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| 作者单位： | 1. 防灾科技学院基础课教学部,三河,065201
2. 防灾科技学院灾害信息工程系,三河,065201 |
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| 基金项目： | 防灾科技学院防灾减灾青年科技基金 |
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| 摘 要： | 在人口密集场所(馆)观众席位区及疏散通道分布模拟图的基础上,着眼于紧急疏散方案制定中的主要问题,分析人群疏散过程中的主要矛盾,建立了属于非线性规划问题的人员紧急疏散的数学模型.在转化为整数线性规划问题后,可用分枝定界法求解,并用L ingo计算程序实现.所求得的最优解为布局比较简单的场馆制定紧急疏散方案提供了依据.
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| 关 键 词： | 非线性规划 紧急疏散 分枝定界 数学模型 |
The Mathematical Model and the Optimal Solution of Emergency Evacuation Problem in Densely Populated Places |
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| Abstract: | The principal contradiction in the process of crowd dispersal is analyzed and a nonlinear programming model is set up based on the analog map of audience seats and the evacuation routes distribution in densely populated places,also focusing on the main problem of the formulation on emergency evacuation program.After changed it into integer Linear Programming, the solution is got using Branch and bound method with the lingo software.The optimal solution of the model provides basis for setting up emergency evacuation program of simple layout venue. |
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| Keywords: | nonlinear programming emergency evacuation Branch and bound mathematical model |
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