基于二次多项式曲线模型的露天矿山生产成本分析

Analysis of Production Cost of Surface Mine Based on Quadratic Polynomial Curve Model

摘要: 影响露天矿山生产成本的因素有很多，且各个环节的影响因素也不尽相同。本文主要讨论炸药单耗与穿孔、爆破、铲装、二次爆破这四个主要环节的成本关系，并基于二次多项式曲线模型建立起各个环节之间的数学关系式。首先，从理论上采用局部求和方法简洁地给出二次多项式曲线模型参数的数学表达式。其次，对实际数据进行预处理以得到穿孔单耗成本、爆破单耗成本、铲装单耗成本和二次爆破单耗成本的数值。最后，借助数值计算软件编程分别求解每一个环节下二次多项式曲线模型的解析表达式，以及相应的数值结果，并给出最优的单耗成本取值。

Abstract: There are many factors affecting the production cost of surface mine, and the influence factors of each step are different. This paper mainly discusses the relationship between the unit consumption of explosives and the cost of the four main steps including perforation, blasting, shovel loading and secondary blasting, and the mathematical relationship between each step is established according to the quadratic polynomial curve model. Firstly, the local summation method is used to deduce the mathematical expression of parameters of the quadratic polynomial curve model. Secondly, the actual data are preprocessed to obtain the unit cost of perforation, the unit cost of blasting, the unit cost of shovel loading and the unit cost of secondary blasting. Finally, with the help of numerical calculation software programming, the analytical expression of the quadratic polynomial curve model in each step is constructed and the corresponding numerical results are solved, respectively, and then the optimal unit consumption cost value in each step is given.