基于博弈论-改进TOPSIS的采矿方法优选

Optimization of Mining Method Based on Game Theory and Improved TOPSIS

为解决某金矿破碎岩层下回采矿石的开采技术难题,在综合了博弈论和逼近理想解的排序法(TOPSIS)的基础上,建立了基于博弈论-TOPSIS的综合评价指标体系,对4种备选采矿方法进行综合评价。通过建立包括技术、经济和安全三方面的采矿方法综合评价指标体系,在层次分析和信息熵理论确定主、客观权重的基础上,采用博弈论确定各因素的综合权重值,为了避免传统TOPSIS法中以欧式距离作为计算方案到正理想解贴近度时所出现的难以准确区分方案之间优劣的问题,提出以垂面距离代替欧式距离,采用正交投影的方法计算贴近度对传统TOPSIS进行改进,通过计算得到4个待评价方案到正理想解的垂面距离分别为d_1=0.114、d_2=0.072、d_3=0.016、d_4=0.045,最终优选的采矿方法为无底柱浅孔留矿嗣后充填法。

In order to solve the mining technical problems of ore stoping under the broken rock of a gold mine,based on the game theory and TOPSIS method,the comprehensive evaluation index system based on game theory and TOPSIS method is proposed,so as to conduct comprehensive evaluation of the four alternative mining methods. The comprehensive evaluation index system of mining method including the index from the aspects of technical,economical and safety is established,the comprehensive weight values of the indexes are obtained by using game theory based on the determination of subjective and objective weight values by using analytic hierarchy process and information entropy theory. In order to avoid the problem of taking euclidean distance as the calculation program to obtain the positive ideal solution of closeness to distinguish difficulty between the quality of schemes existed in traditional TOPSIS method,the traditional TOPSIS method is improved by replacement of euclidean distance with vertical surface distance and using orthogonal projection method to calculate the closeness of traditional TOPSIS method,the vertical surface solutions of the four alternative evaluation schemes to positive ideal solutions are calculated,the results show that d1= 0. 114、d2= 0. 072、d3= 0. 016、d4= 0. 045,which further indicated that the ultimate optimization mining method is pillar-less shallow hole shrinkage stoping with subsequent backfilling method.