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A new open-pit mine planning optimization method using block aggregation and integer programming

机译:一种新的露天矿山规划优化方法,块聚合和整数编程

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摘要

Mathematical programming has been applied to optimizing open pit mine planning problems since the early 1960s. Nonetheless, it still remains challenging to obtain a life-of-mine plan with current computational hardware and software, mostly because of the scale of the input data, which is generally in the form of mining blocks. To overcome this challenge, one common practice is to aggregate blocks into larger units before formulating and solving mine planning models. However, the majority of available block aggregation techniques ignore the slope relation between blocks or are simply not capable of controlling the number of aggregates generated. In this study, a new optimization method for open pit mine planning is proposed, which consists of two stages. In the first stage, a new block aggregation algorithm is proposed, called the TopCone algorithm (TCA), where blocks are clustered into TopCones (TCs), which have two important features: (1) the cone shape and (2) the number of TCs that can be explicitly controlled. In the second stage, TCs form the basis of an integer programming model with a variety of operational constraints so that a high-quality production scheduling solution can be obtained in relatively quick computational time. The capability and novelty of the proposed method is demonstrated through the optimization of the long-term production schedule of a large-scale copper deposit. The case study shows higher NPV results compared to a commercial software package, and the entire mine planning process can be completed in less than 10 minutes.
机译:自20世纪60年代初以来,已经应用了数学规划以优化开放式矿山规划问题。尽管如此,利用当前的计算硬件和软件获得矿山生命计划仍然仍然具有挑战性,主要是因为输入数据的比例,这通常是挖掘块的形式。为了克服这一挑战,一个常见的做法是在制定和解决矿山规划模型之前将块聚合到更大的单元中。然而,大多数可用块聚合技术忽略块之间的斜率关系,或者根本不能控制生成的聚合的数量。在这项研究中,提出了一种新的露天矿井规划优化方法,由两个阶段组成。在第一阶段,提出了一种新的块聚合算法,称为托盘算法(TCA),其中块被聚集到顶部(TCS)中,其中具有两个重要特征:(1)锥形和(2)的数量可以明确控制的TCS。在第二阶段,TCS形成具有各种操作约束的整数编程模型的基础,使得可以在相对快速的计算时间内获得高质量的生产调度解决方案。通过优化大规模铜矿矿床的长期生产计划来证明了所提出的方法的能力和新颖性。与商业软件包相比,案例研究显示出更高的NPV结果,整个矿山规划过程可以在不到10分钟内完成。

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