矿山产能分配的变量模糊线性规划模型

摘要

针对矿山资源开采过程中产能不确定的分配问题，引入了模糊结构元素理论。将产能用结构元表示，并利用结构元加权序将模糊数比较转化为单调函数比较，将含有模糊变量的线性规划问题等价转化为经典线性规划问题。以某矿山为例，建立矿山产能分配的变量模糊线性规划模型，并进行求解。结果表明：实现了将实际问题中的模糊事件进行精确表达，原问题的求解更简便。得到矿山产能取得最大可能利润时的可能分配。应用结构元加权序求解的线性规划模型优于结构元元序的。%For the sake of dealing the problem of the fuzzy allocation during mining, a fuzzy linear programming model with fuzzy variables is developed based on fuzzy structured element. The mine capacity is analysed and the comparison among fuzzy numbers is transformed into the comparison among monotonic functions, the fuzzy linear programming model with fuzzy variables is transformed into a classical linear programming by using structured element order. A mine as a case study is analysed. The results show that fuzzy problems are analysed exactly in a actual problem, and the resolution is simplified. The fuzzy allocation is obtained with the most fuzzy profit. The new method is better than the method based on the structured element order.