A continuous framework for open pit mine planning
A continuous framework for open pit mine planning
复制标题
露天矿规划的连续框架
DOI：
10.1007/s00186-010-0332-3
复制
发表时间：
2011
影响因子：
1.2
通讯作者：
Nikolai Strogies
中科院分区：
文献类型：
--
作者：
Felipe Alvarez;Jorge Amaya;Andreas Griewank;Nikolai Strogies
本文提出了一种基于连续泛函分析的露天矿规划问题的数学框架。工程师面临的主要挑战是确定一系列嵌套剖面，使采矿作业的净现值最大化。该问题的传统模型是使用二元决策变量来构建的，这导致了大规模的组合和混合整数规划问题。相反，我们使用连续的方法，允许与岩土稳定性相关的边坡约束的精细施加。这里介绍的框架是在一个合适的泛函空间中提出的，本质上是在给定的二维有界区域上是Lipschitz连续的实值函数。我们得到了解的存在性结果，并研究了解的定性性质。
This paper proposes a new mathematical framework for the open pit mine planning problem, based on continuous functional analysis. The main challenge for engineers is to determine a sequence of nested profiles maximizing the net present value of the mining operation. The traditional models for this problem have been constructed by using binary decision variables, giving rise to large-scale combinatorial and Mixed Integer Programming problems. Instead, we use a continuous approach which allows for a refined imposition of slope constraints associated with geotechnical stability. The framework introduced here is posed in a suitable functional space, essentially the real-valued functions that are Lipschitz continuous on a given two dimensional bounded region. We derive existence results and investigate qualitative properties of the solutions.