模糊预测型线性规划在矿山产能分配中的应用

Application of fuzzy grey predictability linear programming in capacity allocation of mine

针对矿山产能分配时约束条件多为模糊约束,而约束系数多为灰数的情况,综合模糊线性规划以及灰色预测型线性规划特点,构建模糊预测性线型规划模型对矿山产能进行分配。利用灰色预测理论对模型中的各灰色系数进行白化,将模糊预测型线性规划模型转变为模糊线性规划模型。利用模糊最优判决条件将模糊线性规划转变为求最大隶属度的一般线性规划模型,进而得到矿山产能取得最大经济效益时的产能分配,实现生产资料的科学配置和利润的最大化。

For mine capacity allocation,the constraints are mostly fuzzy,while the constraint coefficients are mostly grey numbers.Considering the characteristics of fuzzy linear programming and grey predictability linear programming,fuzzy grey predictability linear programming model was constructed for mine production allocation.Grey prediction theory was used to whiten grey coefficients,fuzzy grey predictability linear programming model was turned into fuzzy linear programming model and fuzzy optimal decision was used to turn the fuzzy linear programming model into linear programming model.The goal of the linear programming model is to maximize membership degree and achieve the capacity allocation,which leads to the maximum economic benefit and achieves a rational distribution of production and profit maximization.