露天矿采矿作业计划的二元整数规划数学模型

在同时考虑边界品位优化和开采顺序优化情况下,为了实现最大化净现值,提出了一种新的基于二元整数规划的露天矿作业计划模型。该模型包含3个部分:(1)实际经济损失;(2)概率分布和平均品位;(3)预期经济损失。通过物理约束将一个矿块的经济损失评估与概率集成在一个二元整数规划模型中。该模型基于最佳加工决策来确定每个时期的最优开采顺序。为了验证提出模型的适用性,对某金矿案例进行了研究分析。结果表明:使用提出模型获取到的开采顺序是切实可行的,该模型可以在合理的时间内得到较高的最优净现值。

Mathematical Model of Mining Operative Plan for an Open Pit Mine with Two-element Integer Programming

In order to maximize the net present value，a new operative planning model for an open-pit mine based on binary integer programming is proposed in the case of simultaneous optimization of boundary grade and optimization of mining order.The model consists of three parts:①actual economic losses;②probability distribution and average grade;③expected economic loss.The economic loss evaluation and probability of a lump of ore are integrated into a two-element integer programming model through physical constraints.The model is based on the optimal processing decision to determine the optimal mining order for each period.In order to verify the applicability of the proposed model，a case study of a gold mine was carried out.The result showed that it is feasible to use this model to get the mining sequence.The model can obtain higher optimal net present value in a reasonable time.