img

Wechat

Adv. Search

Gold Science and Technology ›› 2017, Vol. 25 ›› Issue (6): 52-60.doi: 10.11872/j.issn.1005-2518.2017.06.052

Previous Articles     Next Articles

Risk Analysis of Underground Mine Production Scheduling Based on Metal Price Uncertainty

REN Zhuli 1,2,WANG Liguan 1,2   

  1. 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:2016-11-12 Revised:2017-03-19 Online:2017-12-30 Published:2018-05-18

Abstract:

For the underground metal mine production planning optimization in sublevel caving method,the mixed integer programming model was built with the function of maximizing the net present value (NPV) constraint condition of the production capacity and space order to determine the stope mining sequence.The metal price changes not only affect the planning result,but  also it is difficult to determine the risk of plan and can bring great economic losses in mining enterprises.According to the distribution of metal history price,using the geometric Brownian motion(GBM) model to predict 15 metal price trend curve,the production plan for different price trend curve was gutted by solving the mixed integer programming model,finally the more metal prices curve was predicted by using the GBM model again and analysis the net present value.Upside potential,downside risk,conditional value at risk (CVaR) and the value at risk (VaR) of different planning also was analyzed.Finally by using entropy method to determine the price of metal high yield under uncertainty and risk of small production plan.Verification by the concrete example that the method is scientific and feasible,can reduce the risk of the price when use traditional manual method to prepare production plan,realize low risk high efficiency mining resources,and has an important significance for actual production of the mine.

Key words: sublevel caving method, production scheduling, mixed integer programming, optimization, metal price, GBM, risk analysis

CLC Number: 

  • F407.1

[1] Li Yinglong,Tong Guangxu.Survey of the development of mine production plan scheduling [J].Metal Mine,1994(12):11-16.[李英龙,童光煦.矿山生产计划编制方法的发展概况[J].金属矿山,1994(12):11-16.]
[2] Wang Liguan,Ren Zhuli,Pan Chuanpeng,et al.Optimization analysis of stope mining sequence based on mixed integer programming[J].The Chinese Journal of Nonferrous Metals,2016,26(1):173-179.[王李管,任助理,潘传鹏,等.基于混合整数规划法的采场回采顺序优化分析[J].中国有色金属学报,2016,26(1):173-179.]
[3] Newman A M,Rubio E,Caro R,et al.A review of operations research in mine planning[J].Interfaces,2010,40(3):222-245.
[4] Hu Liuqing,Wang Liguan,Bi Lin.3D Visualization system based production plan scheduling of underground mine[J]. Journal of China Coal Society,2007,32(9):930-933.[胡柳青,王李管,毕林.地下矿山生产计划3D可视化编制技术[J].煤炭学报,2007,32(9):930-933.]
[5] Rehman S U,Asad M W A.A mixed-integer linear programming model for short-range production scheduling of cement quarry operations[J].Asia-Pacific Journal of Operational Research,2010,27(3):315-333.
[6] Pourrahimian Y,Askari-Nasab H,Tannant  D D.A multistep approach for block-cave production scheduling optimization [J].International Journal of Mining Science and Technology,2013,23(5):739-750.
[7] Carlyle W M,Eaves B C.Underground planning at stillwater mining company[J].Interfaces,2001,31(4):50-60.
[8] O’Sullivan D,Newman A.Optimization-based heuristics for underground mine scheduling[J].European Journal of Operational Research,2015,241(1):248-259.
[9] O’Sullivan D,Newman A.Extraction and backfill scheduling in a complex underground mine[J].Interfaces,2014,44(2):204-221.
[10] Martinez M A,Newman A M.A solution approach for optimizing long- and short-term production scheduling at LKAB’s Kiruna mine[J].European Journal of Operational Research,2011,211(1):184-197.
[11] Prieto F J.On modelling planning under uncertainty in manufacturing-discussion[J].Sort,2007,31(2):157-160.
[12] Escudero L F.An algorithmic framework for solving large scale multistage stochastic mixed 0-1problems with nonsymmetric scenario trees[J].Computers & Operations Research,2012,39(5):1133-1144.
[13] Kempf  K G,Keskinocak P, Uzsoy  R.Planning Production and Inventories in the Extended Enterprise[M].Berlin:Springer,2011.
[14] Gao Lu.Stock index geometric Brownian motion simulation and empirical analysis[J].Modern Economic Information,2010(6):18.[高璐.股票指数几何布朗运动模拟及实证分析[J].现代经济信息,2010(6):18.]
[15] Feng Xiaolong.Application and prediction of geometric Brownian motion on Matlab[J].Journal of Computer Applications,2013,33(S1):329-330,334.[冯晓龙.基于Matlab的几何运动布朗模型的应用与预测[J].计算机应用,2013,33(增1):329-330,334.]
[16]  Alonso-Ayuso A,Carvallo F,Escudero  L F,et al.Medium range optimization of copper extraction planning under uncertainty in future copper prices[J].European Journal of Operational Research,2014,233(3):711-726.
[17] Zhang Mingjia.Research on the Application of Mixed Integer Programming in Engineering[D].Wuhan: Huazhong University of  Science and Technology,2005.[张明佳.混合整数规划方法的工程应用研究[D].武汉:华中科技大学,2005.]
[18] Wan Xiaoheng,Wang Xinmin,Zhu Yangya,et al.Optimization of the stope structural parameters based on empowerment combination TOPSIS[J].Gold Science and Techno-
logy,2014,22(5):69-73.[万孝衡,王新民,朱阳亚,等.基于组合赋权TOPSIS法的采场结构参数优选[J].黄金科学技术,2014,22(5):69-73.]

[1] Deyun ZHONG, Yulong LIU, Liguan WANG. Optimization of Fan Selection for Multi-stage Fan Station Ventilation System in Mines [J]. Gold Science and Technology, 2024, 32(4): 666-674.
[2] Guoyan ZHAO, Kaiyi HU, Yang LI, Leilei LIU, Meng WANG. Evalution Method of Rock Mass Quality Based on BWO-RF Model [J]. Gold Science and Technology, 2024, 32(2): 270-279.
[3] Deyun ZHONG, Lixue WEN, Liguan WANG. Two-step Optimization Method for Airflow Control Based on Mixed Integer Programming [J]. Gold Science and Technology, 2024, 32(2): 356-365.
[4] Zefeng XU, Xiuzhi SHI, Rendong HUANG, Wenzhi DING, Xin CHEN. Study on Filling Pipeline Optimization Based on Full Pipe Transportation [J]. Gold Science and Technology, 2024, 32(1): 160-169.
[5] Feng GAO, Chengcheng LI, Qinghan QIN, Enguo OU. Stability Analysis of Broken Ore Pillars Group Based on RG-BN Theory [J]. Gold Science and Technology, 2023, 31(6): 900-910.
[6] Shuang HUANG, Mingtao JIA, Fang LU. Optimization Model of Underground Stope Working Plan Based on Heuristic Genetic Algorithm [J]. Gold Science and Technology, 2023, 31(4): 669-679.
[7] Shunling RUAN,Yankang RUAN,Caiwu LU,Qinghua GU. Detection of Ore Conveyer Roller Based on Infrared Image [J]. Gold Science and Technology, 2023, 31(1): 123-132.
[8] Yingbao YANG,Yanxiong FU,Yingjie PEI,Qiang ZHOU,Qingfei XIAO. Study on Grinding Medium Ratio Optimization of Φ2.4×3.6 m Ball Mill in Yimen Copper Industry [J]. Gold Science and Technology, 2023, 31(1): 163-170.
[9] Huayou SU,Yongding WANG,Baohui TAN,Weiguo LONG,Ning YANG,Zhigui ZHANG,Xingming CHEN. Study on Induced Caving Mechanism and Development Process of Large Area Cemented Backfill [J]. Gold Science and Technology, 2022, 30(5): 713-723.
[10] Duiming GUO,Guoqing LI,Jie HOU,Nailian HU. Optimization of Local Ventilation Parameters of Deep Mine Excavation Roadway Based on FLUENT [J]. Gold Science and Technology, 2022, 30(5): 753-763.
[11] Ensheng KANG,Zexi ZHAO,Haidong MENG. Displacement Prediction of Dump Slope Based on EEMD-HW-PSO-ELM Coupling Model [J]. Gold Science and Technology, 2022, 30(4): 594-602.
[12] Pingtian MING,Fei LI,Zhaohua XIONG,Ziqiang CHEN,Shengping MA. Study on Optimization of Flotation Time and Magnification Coefficient of a Refractory Gold Ore Concentrator [J]. Gold Science and Technology, 2022, 30(4): 623-631.
[13] Pengfei WANG,Lin BI,Liguan WANG. Research on Speed Planning of Unmanned Driving Mining Trucks in Open-pit Mines [J]. Gold Science and Technology, 2022, 30(3): 460-469.
[14] Longxin DENG, Jianhong CHEN. Optimization of Mining Method with Subjective and Objective Combination Weight TOPSIS Based on Game Theory [J]. Gold Science and Technology, 2022, 30(2): 282-290.
[15] Chengyu YI,Yingjie PEI,Shuai MA. Experimental Study and Application of Grinding Medium Ratio Optimization in Jiaojia Gold Mine [J]. Gold Science and Technology, 2022, 30(1): 122-130.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!