img

QQ群聊

img

官方微信

高级检索

黄金科学技术 ›› 2017, Vol. 25 ›› Issue (6): 75-82.doi: 10.11872/j.issn.1005-2518.2017.06.075

• 采选技术与矿山管理 • 上一篇    下一篇

基于博弈论与相对熵TOPSIS的采矿方法优选

陈毅,陈建宏*   

  1. 中南大学资源与安全工程学院,湖南  长沙   410083
  • 收稿日期:2017-07-07 修回日期:2017-08-18 出版日期:2017-12-30 发布日期:2018-05-18
  • 通讯作者: 陈建宏(1962-),男,江苏苏州人,教授,博导,从事矿业经济和矿业系统工程研究工作。cij@236.net
  • 作者简介:陈毅(1993-),男,四川宜宾人,硕士研究生,从事矿业经济和矿业系统工程研究工作。1837628605@qq.com
  • 基金资助:

    国家自然科学基金项目“地下金属矿采掘计划可视化优化方法与技术研究”(编号:51374242)资助

Mining Method Optimization Based on Game Theory and Relative Entropy TOPSIS

CHEN Yi,CHEN Jianhong   

  1. School of Resources and Safety Engineering,Central South University,Changsha    410083,Hunan,China
  • Received:2017-07-07 Revised:2017-08-18 Online:2017-12-30 Published:2018-05-18

摘要:

采矿方法的选择是矿山企业众多生产经营决策中最重要的决策之一。为了确保决策结果科学有效,基于博弈论和逼近理想解排序法(TOPSIS)基本理论,运用层次分析法(AHP)和信息熵法分别计算评判指标权重,并利用博弈论集结模型对各单一权重计算方法所得结果进行加权集结得出评判指标综合权重,然后运用基于相对熵的TOPSIS模型计算各采矿方法的相对贴近度。最后,针对矿山拟选用的4种采矿方法,运用层次分析法(AHP)基本原理从经济、技术和安全3个方面选取采充成本、矿石回收率和矿石贫化率等10个重要指标建立采矿方法优选综合评判指标体系,并计算出这4种采矿方法的相对贴近度分别为0.420,0.401,0.492,0.115,得出采矿方法3最优。该结论与矿山生产实际情况一致,证明该方法科学有效。

关键词: 博弈论, 层次分析法, 信息熵, 综合评判指标, 相对熵TOPSIS, 相对贴进度, 采矿方法优选

Abstract:

The selection of mining method is one of the most important production and management decisions to mining enterprises.In order to ensure the decision-making results are scientific and effective,based on the basic theory of game theory and TOPSIS method,using the analytic hierarchy process(AHP) and the information entropy method to calculate the weights of evaluation indexes respectively,and using the game theory aggregation model to weight and aggregate the results of the single weight calculation methods to get the comprehensive weights of the evaluation indexs.And then,a TOPSIS model based on relative entropy was used to calculate the relative closeness of each mining method.According to the four kinds of mining methods in a mine,based on the AHP principles to select 10 key indicators from the economic,technical and security,which including the cost of mining and filling,the ore recovery rate and the ore dilution rate and so on,to establish the comprehensive evaluation index system of mining method selection.The relative closeness degree of the four kinds of mining methods was calculated,the results show that the relative closeness degrees of the four optional mining methods are 0.420,0.401,0.492,0.115,and the third is the optional.The conclusion is consistent with the actual situation of mine production,which proves that the method is scientific and effective.

Key words:  game theory, analytic hierarchy process, information entropy, comprehensive evaluation index, relative entropy TOPSIS, relative closeness degree, optimization of mining method

中图分类号: 

  • TS802

[1] Wang Qing,RenFengyu.Mining[M].Beijing:Metallurgical Industry Press,2007.[王青,任凤玉.采矿学[M].北京:冶金工业出版社,2007. ]
[2] Zhang Qinli,Cheng Jian,Wang Xinmin,et al.Mining method optimization based on GRA and weighted TOPSIS method[J].Science & Technology Review,2013,31(31):38-42.[张钦礼,程健,王新民,等.基于灰色关联和加权TOPSIS法的采矿方法优选[J].科技导报,2013,31(31):38-42. ]
[3] Wang Xinmin,Zhao Bin,Zhang Qinli.Mining method choice based on AHP and fuzzy mathematics[J].Journal of Central South University(Science and Technology),2008, 39(5):875-880.[王新民,赵彬,张钦礼.基于层次分析和模糊数学的采矿方法选择[J].中南大学学报(自然科学版),2008,39(5):875-880.]
[4] Tan Yuye,Song Weidong,Li Tieyi,et al.Multi-objective decision for mining method optimization based on weights assigned by fuzzy judgment matrix[J].Journal of Mining & Safety Engineering,2014,31(4):551-557.[谭玉叶,宋卫东,李铁一,等.基于模糊判断矩阵赋权的采矿方法多目标决策优选[J].采矿与安全工程学报,2014,31(4):551- 557.]
[5] Zhao Shuguo,Song Huanhu,Song Weidong.Study on optimization of mining methods based on rough fuzzy set theory[J].Metal Mine,2015(5):48-51.[赵树果,宋焕虎,宋卫东.基于粗糙模糊集理论的采矿方法优化研究[J].金属矿山,2015(5):48-51.]
[6] Chen Jianhong,Deng Weixia.Entropy fuzzy matter element analysis method of mining method selection[J].Science & Technology Review,2014,32(2):30-33.[陈建宏,邓伟夏.熵权模糊物元分析法在采矿方法选择中的应用[J].科技导报,2014,32(2):30-33.]
[7] Chen Jianhong,Jiang Quan,Zheng Haili,et al.Optimization of mining method based on principal composition cluster analysis[J].Science & Technology Review,2011,29(27):36-41.[陈建宏,蒋权,郑海力,等.基于主成分聚类分析的采矿方法优选[J].科技导报,2011,29(27):36-41.]
[8] Chen Jianhong,Liu Lang,Zhou Zhiyong,et al.Optimization of mining methods based on combination of principal component analysis and neural networks[J].Journal of Central South University(Science and Technology),2010,41(5):1967- 1972.[陈建宏,刘浪,周智勇,等.基于主成分分析与神经网络的采矿方法优选[J].中南大学学报(自然科学版),2010,41(5):1967-1972.]
[9] Ye Yicheng,Yao Nan,Wang Qihu.Mining method optimal selection model and its application by using interval numbers ranking method[J].Control Theory & Applications,2016,33(8):1015-1022.[叶义成,姚囝,王其虎.采用区间数排序的采矿方法优选模型及其应用[J].控制理论与应用,2016,33(8):1015-1022.]
[10] Yao Nan,Ye Yicheng,Wang Qihu,et al.The optimal selection model of mining method based on statistical fuzzy weights and fuzzy interval evaluation[J].China Mining Magazine,2014,23(9):112-117,144.[姚囝,叶义成,王其虎,等.基于统计模糊权重和模糊区间评价的采矿方法优选模型[J].中国矿业,2014,23(9):112-117,144.]
[11] Luan Tingting,Xie Zhenhua,Wu Zongzhi,et al.Risk evaluation model of waste dump landslide based on uncertainty measurement theory[J].Journal of Central South University(Science and Technology),2014,45(5):1612-1617.[栾婷婷,谢振华,吴宗之,等.基于未确知测度理论的排土场滑坡风险评价模型[J].中南大学学报(自然科学版),2014,45(5):1612-1617.]
[12] Yang Yuping,Deng Xingxing,Feng Yan.Optimization of mining method based on unascertained measurement theory and AHP[J].Journal of Central South University(Science and Technology),2014,45(11):3936-3942.[阳雨平,邓星星,冯岩.基于未确知测度与层次分析法的采矿方法优选[J].中南大学学报(自然科学版),2014,45(11):3936-3942.]
[13] Rao Yunzhang,He Shaobo,Chen Hui,et al.Optimization of mining method based on uncertainty measurement theory[J].China Mining Magazine,2012,21(S):337-342.[饶运章,何少博,陈辉,等.基于未确知测度理论的采矿方法优选[J].中国矿业,2012,21(增):337-342.]
[14] Zhang Bo.The synopsis of AHP basic idea[J].Journal of Northwest University(Science and Technology),1998,28(2):20-24.[张波.AHP基本原理简介[J].西北大学学报(自然科学版),1998,28(2):20-24.]
[15] Liao Hongqiang,Qiu Yong,Yang Xia,et al.A study of weight coefficient computing method based on AHP[J].Mechanical Engineer,2012(6):22-24.[廖红强,邱勇,杨侠,等.对应用层次分析法确定权重系数的探讨[J].机械工程师,2012(6):22-25.]
[16] Wang Wangzhen,Li Jinjin.Project evalution method based on game theory and improved TOPSIS[J].Journal of Wuhan University of Technology(Information & Management Engineering),2015,37(6):726-729.[王望珍,李金瑾.基于博弈论与改进TOPSIS的工程评标方法[J].武汉理工大学学报(信息与管理工程版),2015,37(6):726-729.]
[17] Lu Yao,Xu Linrong,Chen Shuyang,et al.Combined weight method based on game theory for debris flow hazard risk assessment[J].Journal of Catastrophology,2014,29(1):194-200.[路遥,徐林荣,陈舒阳,等.基于博弈论组合赋权的泥石流危险度评价[J].灾害学,2014,29(1):194- 200.]
[18] Zhao Meng,Qiu Wanhua,Liu Beishang.Relative entropy evaluation method for multiple attribute decision making[J].Control and Decision,2010,25(7):1098-1100,1104.[赵萌,邱菀华,刘北上.基于相对熵的多属性决策排序方法[J].控制与决策,2010,25(7):1098-1100,1104.
[19] Luo Zhengqing,Yang Shanlin.Comparative study on several scales in AHP[J].Chinese Journal of Systems Engineering-Theory & Practice,2004(9):51-60.[骆正清,杨善林.层次分析法中几种标度的比较[J].系统工程理论与实践,2004(9):51-60.]
[20] Wang Hao.Scale evaluation and new scale methods[J].System Engineering-Theory&Practice,1993(5):24-26.[汪浩.层次分析标度评价与新标度方法[J].系统工程理论与实践,1993(5):24-26.]
[21] Wang Xinmin,Qin Jianchun,Zhang Qinli,et al.Mining method optimization of Gu Mountain stay ore based on AHP-TOPSIS evaluation model[J].Journal of Central South University(Science and Technology),2013,44(3):1131-1137.[王新民,秦健春,张钦礼,等.基于AHP- TOPSIS评判模型的姑山驻留矿采矿方法优选[J].中南大学学报(自然科学版),2013,44(3):1131-1137.]
[22] Jiang Zhenghua.A new consistency regulating method of judgment matrix in AHP[J].Journal of Nanjing University(Mathematical Biquarterly),2013,30(2):224-237.[江正华.AHP中正互反判断矩阵一致性调整的新方法[J].南京大学学报(数学半年刊),2013,30(2):224-237.]
[23] Chang Jian’e,Jiang Taili.Research on the weight of coefficient through analytic hierarchy process[J].Journal of Wuhan Universuty of Technology(Information & Management Engineering),2007,29(1):153-156.[常建娥,蒋太立.层次分析法确定权重的研究[J].武汉理工大学学报(信息与管理工程版),2007,29(1):153-156.]
[24] Li Meixia.A new method for improving the consistency of the comparison on matrix in AHP[J].Theory and Practice of Systems Engineering,2000,20(2):123-126.[李梅霞. AHP中判断矩阵一致性改进的一种新方法[J].系统工程理论与实践,2000,20(2):123-126.]
[25] Tian Zhiyou,Wang Huanchen,Wu Ruiming.Possibility-satisfiability degree and the test and improvement of the comparison matrix’ consistency[J].Systems Engineering- Theory & Practice,2004(12):94-99.[田志友,王浣尘,吴瑞明.可能满意度与判断矩阵的一致性检验及改进[J].系统工程理论与实践,2004(12):94-99.]
[26] Yu Yan,Ou Guoqiang,Wang Jun,et al.Application to information entropy in post-earthquake Shenxi gully basin hazard assessment[J].Journal of Disaster Prevention and Mitigation Engineering,2017,37(2):264-272.[宇岩,欧国强,王钧,等.信息熵在震后深溪沟流域泥石流危险度评价中的应用[J].防灾减灾工程学报,2017,37(2):264-272.]
[27] Wang Shuji,Fei Liangjun,Lei Yanbin,et al.Two kinds of comprehensive weight combination method applied to irrigation district’s evaluation[J].Journal of Xi’an University of Technology,2009,25(2):207-211.[王书吉,费良军,雷雁斌,等.两种综合赋权法在灌区评价中的应用研究[J].西安理工大学学报,2009,25(2):207-211.]
[28] Cover T M,Thomas J A.Elements of Information Theroy[M].Newyork:John Wiley and Sons,2006.
[29] Hu Yonghong.The improved method for TOPSIS in comprehensive evaluation[J].Mathematics in Practice and Theory,2002(4):572-575.[胡永宏.对TOPSIS法用于综合评价的改进[J].数学的实践与认识,2002(4):572-575.]
[30]  Fu Qiaofeng.Research on topsis method[J].Journal of Xi’an University of Science and Technology,2008,28(1):190-193.[付巧峰.关于TOPSIS法的研究[J].西安科技大学学报,2008,28(1):190-193.]
[31] Zhao Yuanfei,Chen Guohua.Study on location optimizing model of emergency system based on improved TOPSIS method[J].China Safety Science Journal,2008,18(9):22-28.[赵远飞,陈国华.基于改进逼近理想解排序(TOPSIS)法的应急系统优化选址模型研究[J].中国安全科学学报,2008,18(9):22-28.]
[32] Zhou Yufeng,Wei Fajie.Combination weighting approach in multiple attribute decision making based on relative entropy[J].Operations Research and Management Science,2006,15(5):48-53.[周宇峰,魏法杰.基于相对熵的多属性决策组合赋权方法[J].运筹与管理,2006,15(5):
48-53.]
[33] Lu Weifeng,Tang Houxing.A comprehensive improvement of multi-attribute decision TOPSIS method[J].Statistics and Decision,2012(19):38-40.[陆伟锋,唐厚兴.关于多属性决策TOPSIS方法的一种综合改进[J].统计与决策,2012(19):38-40.]
[34] Li Wu,Wang Lina,Chen Yan.A novel technique for order perference by similarity to group’s ideal solution in multi-attribute group decision-making[J].Journal of Huazhong University of Science and Technology,2009,37(2):64-63.[李武,王丽娜,陈妍.逼近群体理想解的多属性群决策新方法[J].华中科技大学学报,2009,37(2):61-63.]

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!