基于多目标规划的抛掷爆破台阶参数优化
Optimization on bench parameters of casting blast based on multi-objective programming
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摘要: 为了优化确定抛掷爆破台阶参数,采用回归分析等方法,构建了抛掷爆破台阶参数与采剥费用之间的关系模型,并从地质资源条件、设备线性尺寸、生产作业条件等方面提出了抛掷爆破台阶参数的约束条件,建立了抛掷爆破台阶参数多目标优化模型,提出了基于带精英策略的非支配排序遗传算法(NSGA-Ⅱ)的多目标优化模型求解方法。通过工程实例计算,得出以下结论:黑岱沟抛掷爆破台阶最优工作线长度为2 200 m,台阶高度为38 m,采掘带宽度为84 m,台阶坡面角为65°。在不考虑其他因素的影响下,露天矿采剥总费用随着工作线长度的增大先减小后增大,随着台阶高度的增大而减小。采掘带宽度在60~90 m范围内变化时,采剥总费用随着采掘带宽度的增大先降低后增大。露天矿采剥总费用随着台阶坡面角的增大而降低,但台阶坡面角对台阶稳定性影响较大,而台阶高度对采剥总费用的影响较大,相同稳定系数的情况下,取较小的台阶坡面角、较大的台阶高度时采剥总费用较小。Abstract: In order to optimize and determine the bench parameters of casting blast,the methods such as regression analysis had been used to build a relational model between the bench parameters of casting blast and the costs of min- ing and stripping. The constraint conditions of bench parameters in the casting blast were determined in the aspects of geological resource conditions,equipment’s linear dimensions,producing and operating conditions,etc. The multi-ob- jective optimization model of bench parameters in the casting blast was built,and its solution was also proposed based on the Elitist Nondominated Sorting Genetic Algorithm (NSGA-II). The following conclusions were drawn according to the calculation results of engineering projects. As for the bench of casting blast in Heidaigou,the optimal working face length is 2 200 m,the bench height is 38 m,the mining panel width is 84 m,and the bench slope angle is 65°. Keep- ing other factors the same,the cost of mining and stripping of open-pit mine decreased first then increased with the in- crease of working face length,while decreased with the increase of bench height and bench slope angle. When the min- ing panel width increased from 60 m to 90 m,the cost of mining and stripping decreased first then increased. The bench slope angle affected the bench stability more,while the bench height affected the cost of mining and stripping more. Keeping the same stability coefficient,a smaller bench slope angle and a higher bench reduced the cost of min- ing and stripping.