收稿日期: 2017-07-07
修回日期: 2017-08-18
网络出版日期: 2018-05-18
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
Received date: 2017-07-07
Revised date: 2017-08-18
Online published: 2018-05-18
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。
陈毅 , 陈建宏* . 基于博弈论与相对熵TOPSIS的采矿方法优选[J]. 黄金科学技术, 2017 , 25(6) : 75 -82 . DOI: 10.11872/j.issn.1005-2518.2017.06.075
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.
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