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Development of a MIP model to maximize NPV and minimize adverse environmental impact-a heuristic approach

机译:开发MIP模型,以最大限度地提高NPV,最大限度地减少不良环境影响 - 一种启发式方法

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Block sequencing is of great importance in an open-pit mining operation. Sequencing is usually performed to maximize the net present value (NPV). Also, from the environmental viewpoint, the sequence of dumping mined materials is of significant value in the sulfide mines. The potential acid-forming (PAF) waste rocks in these mines can seriously damage the environment due to the formation of acid mine drainage (AMD). To prevent the exposition of the PAF materials, it is essential to design suitable block sequencing. For this purpose, encapsulation of the PAF rocks by non-acid forming (NAF) rocks should be considered during waste dumping. However, this method can impose unnecessary re-handling costs. This issue is due to the determination of the waste-dump sequence based on improper block sequencing obtained from the previous models with the NPV maximization strategy. In the present study, a mixed-integer programming (MIP) model is proposed for generating proper block sequencing taking into account the composition of waste rocks. The main objective of the proposed MIP model is to maximize NPV and minimize the destructive environmental effects of PAF materials dumping. The CPLEX solver was applied to solve the proposed model in small datasets. Then, an artificial bee colony (ABC) is implemented to find out optimum block sequencing and waste dumping (BSWD) on a large scale. The proposed approach was examined employing several sets of data. The obtained results were compared with those of the CPLEX solver as a benchmark. An approximate gap of 2% demonstrates the efficiency of the proposed approach.
机译:块测序在露天采矿操作方面具有重要意义。通常执行测序以最大化净现值(NPV)。而且,从环境观点来看,倾卸材料的序列在硫化物矿物中具有显着的价值。由于酸性矿矿排水(AMD)的形成,这些矿物中的潜在酸形成(PAF)废岩体可能会严重损害环境。为防止PAF材料的阐述,重要的是设计合适的块测序。为此目的,应在废物倾倾期间考虑通过非酸形成(NAF)岩石的PAF岩石的封装。但是,这种方法可以施加不必要的再处理成本。此问题是由于基于从先前模型获得的不正确的块测序确定了与NPV最大化策略获得的不正当的块序列。在本研究中,提出了一种混合整数编程(MIP)模型,用于产生适当的块测序,以考虑废岩的组成。拟议的MIP模型的主要目的是最大限度地提高NPV,并最大限度地减少PAF材料倾倒的破坏性环境影响。应用了CPLEX求解器以解决小型数据集中所提出的模型。然后,实施人造蜜蜂菌落(ABC)以在大规模上找到最佳块测序和废物倾倒(BSWD)。审查了拟议的方法采用了几套数据。将得到的结果与CPLEX求解器的结果进行比较。 2%的近似差距表明了提出的方法的效率。

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