关键词: 数学模型, 等价权因子, 当量长度, 最优路径, K则最优路径

Abstract: Mine water disaster seriously affects the life safety of the miners，so the miners should flee to safety site at the beginning of the water disaster as quickly as possible.Based on this，a mathematical model of optimal escape routes was conducted based on the improved Dijkstra algorithm，considering such influence factors as reliability factor，efficiency of passage，actual equivalent length of the tunnel etc..Then its solution was given，and the method of obtaining K shortest path was illustrated.The designing idea for the model and its implementing process were described in detail.As well，the accurate access to two routes and its interface display were realized combining with specific examples of the mine and using C# programming language.

Key words: Mathematical model, The equivalent weight factor, Equivalent length, Optimal path, K shortest path algorithm