煤矿通风量的数学优化建模——数学教学与应用启示

煤矿井下瓦斯和煤尘的浓度控制是通过煤矿井下通风量的优化分配实现的,是实现煤矿安全生产的关键环节。以最小总通风量为目标函数,考虑风速、瓦斯浓度和煤尘浓度等约束条件,建立了煤矿井下通风系统的最小总通风量数学优化模型,通过Lindo优化软件计算出最小总通风量及各进风巷、工作面的通风量。将表面上归属于煤矿安全、地质等专业的实际问题巧妙地转化为数学问题,完成数学建模并得到实际问题的解答。

Optimal Mathematical Model of Ventilation Quantity in Coal Mine Well——Mathematical Teaching and Its Application

The density control of gas and coal dust is done through optimal allotment of the ventilation quantity in the coal mine well.With least total well ventilation quantity as target function,considering stipulations such as wind velocity,gas density and coal dust density etc.,build up mathematical model of minimum total well ventilation quantity in the coal mine well.Least total well ventilation quantity and that of each enter breeze lane were computed.Superficially belong to the coal mine professional actual problem of the safety,geology,etc,then skillfully convert it into mathematics problem and the completion of mathematical model and get the solution of actual problem.