井下最优避险路径的数学建模与火灾仿真实验

Mathematical model and fire simulation of underground optimal escape path

从实际应用的角度将"通行路径最短"的最优路径扩展为"安全性最高、通行时间最短"的紧急避险最优路径,形成了适用于灾情变化的GIS避险最优路径理论,并量化了灾害避险路径的安全性和通行效率的指标,在改进的Dijkstra(迪杰斯特拉)数学模型中,增加等价权因子,构造了UPOP-Dijkstra(矿井紧急避险最优路径)算法,为矿山井下智能化避险决策提供了技术支持。利用Matlab为开发工具,借助于改进的Dijkstra数学函数,设计了UPOP-Dijkstra算法应用流程,并以河北杏山矿井井下相关信息的基础数据为例,对井下火灾进行了灾害仿真实验,解算了井下人员的避灾路线,验证了数学模型的有效性。

The optimal path is normally 'the shortest path', however, this study extended the optimal path to the emergency optimal path with 'the maximum security, and the shortest time'. Thus, the study forms the theory of GIS emergency optimal path that is suitable for the disaster change. The study quantifies the safety of disaster efficiency path and the index of path efficiency, introduces equivalent weight factors based on the improved Dijkstra mathematical model, structures the UPOP-Dijkstra (the emergency optimal path) algorithm, and provides technical support for the intelligent mine emergency decision. On the platform of Matlab, with the help of the improved Dijkstra math function, the study designs the application procedure of the UPOP-Dijkstra algorithm. In addition, the study conducts a fire simulation experiment based on the data from Hebei Xing Shan mine, calculates the mine personnel's emergency escape path, and verify the validity of the mathematical model. © 2015, China Coal Society. All right reserved.