基于混合整数规划法的露天矿配矿品位控制

涂鸿渐; 王李管; 陈鑫; 任助理; 张炬

doi:10.11872/j.issn.1005-2518.2019.03.458

黄金科学技术 >

2019 , Vol. 27 >Issue 3: 458 - 465

DOI: https://doi.org/10.11872/j.issn.1005-2518.2019.03.458

采选技术与矿山管理

基于混合整数规划法的露天矿配矿品位控制

涂鸿渐 ^,¹^,² ,
王李管 ^,¹^,² ,
陈鑫 ¹^,² ,
任助理 ¹^,² ,
张炬 ¹^,²

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1. 中南大学资源与安全工程学院，湖南长沙 410083
2. 中南大学数字矿山研究中心，湖南长沙 410083

王李管（1964-），男，山西乡宁人，教授，从事数字矿山研究工作。liguan_wang@163.com

涂鸿渐（1994-），男，江西上饶人，硕士研究生，从事数字矿山研究工作。hongjian_tu@163.com

收稿日期: 2018-10-08

修回日期: 2019-02-22

网络出版日期: 2019-07-09

基金资助

国家重点研发计划项目“深部金属矿集约化连续采矿理论与技术”(2017YFC0602905)

收起

Ore Grade Control Blending in Open-pit Mine Based on Mixed Integer Programming

Hongjian TU ^,¹^,² ,
Liguan WANG ^,¹^,² ,
Xin CHEN ¹^,² ,
Zhuli REN ¹^,² ,
Ju ZHANG ¹^,²

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1. School of Resources and Safety Engineering，Central South University，Changsha 410083，Hunan，China
2. Center of Digital Mine Research，Central South University，Changsha 410083，Hunan，China

Received date: 2018-10-08

Revised date: 2019-02-22

Online published: 2019-07-09

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本文亮点

为了解决露天矿配矿耗时长、成果精度低及与卡调系统不关联的问题，对露天矿配矿进行系统科学分析，提出了基于混合整数规划的露天矿自动化配矿系统，实现对露天矿品位的快速准确控制。以炮孔岩样化验结果和矿山块段模型数据为基础，运用泰森多边形方法对配矿单元进行估值划分，综合考虑矿量、品位、设备和空间位置等约束条件，建立了以出矿品位波动最小为目标函数的露天矿配矿混合整数规划模型。并在Visual Studio环境下用C++语言调用CPLEX求解器进行求解，进而得到用于卡调系统的露天矿配矿开采和派车优化方案。该方法应用于安徽某大型石灰岩露天矿，经实例验证，此方法可在1 s内输出配矿结果，同时配矿指标均在目标值上下1.5%范围内波动，对指导矿山的实际生产有重要意义。

本文引用格式

涂鸿渐 , 王李管 , 陈鑫 , 任助理 , 张炬 . 基于混合整数规划法的露天矿配矿品位控制[J]. 黄金科学技术, 2019 , 27(3) : 458 -465 . DOI: 10.11872/j.issn.1005-2518.2019.03.458

Highlights

Rational planning and management of ore quality is an important issue to improve the resource and economic benefits of the mine.Resources and quality control of ore should be run through all aspects of the entire production management process.In order to solve problems existed in ore blending for open-pit mine，such as long-time ore blending，low accuracy of planned results and not associated with truck dispatching system，the open-pit mine automation ore blending system was proposed.It is based on Mixed Integer Programming and would make the ore grade control in open-pit mine more accurately and rapidly，so rational mining and fine control of production targets for the open-pit mine automation ore blending would be achieved.It was put forward based on the current status quo of stope，exploration engineering data and resource model，on the premise of production quality control，and mixed integer programming algorithm is used as the theoretical method.This paper taking a large limestone open-pit in Anhui Province as research object.In the first place，thiessen polygon method was applied to estimation value and divide the ore blending model based on rock sample of blasthole and mine block model.Then a mixed integer programming model was presented according to the special ore blending requirements of muck piles in open pit mineto solve the optimization problem of ore blending.The model takes the minimum fluctuation of the ore grade as the objective function，and takes into account a variety of constraints，such as the muck sub-piles mining constraint，vehicle dispatching manner constraint，shovel car mining constraint，number of shovel car in each pile constraint，maximum grade of ore dumping constraint，minimum grade of ore dumping constraint .At last，the automatic ore distribution system of open pit mine is established based on iMine spatial database technology with C++ language programming in Visual Studio 2012，by solving the mixed integer programming model of open-pit ore blending by IBM ILOG CPLEX Optimization Studio， the open-pit ore blending optimization scheme of mine and truck dispatching can be achieved.The method was applied to Quanjiao Conch limestone mine，several months of practical application proved that this model is scientific and feasible.The ore blending method can output result in 1 s，and the maximum deviation of each index of ore blending fluctuates from the target value within the range of 1.5%，the average deviation of each index from the target value is less than 0.2%，and the coefficient of variation is less than 1%.It meets the requirement of mine grade deviation control，so it is of important significance for guiding the actual production of open-pit mine.

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