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首页> 外文期刊>Journal Of The South African Institute Of Mining & Metallurgy >Problem of non-normality in statistical quality control: a case study in a surface mine
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Problem of non-normality in statistical quality control: a case study in a surface mine

机译：统计质量控制中的非正常问题：以露天矿为例

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摘要

A quality characteristic analysed through construction of the Shewhart control chart is required to be normally distributed. In mining applications, this assumption is often violated as many quality characteristics follow skewed or lognormal distribution. In this paper, two methods were investigated using a heuristic approach for setting up the control limits for a skewed population. Based on these approaches a Mode chart, and a Weighted Variance (WV) control charts were constructed. The performance of the proposed methods was compared with the normal based Shewhart method through a case study conducted in a surface mine supplying iron ore to a steel plant. A simulation study was also conducted to evaluate the effectiveness of the proposed methods over the Shewhart method. The study revealed that the Shewhart control charts generated more out of control alarms compared with the Mode and Weighted Variance control charts for a skewed population of Fe%. The simulation results also revealed that for extremely high skewed population, the WV control chart and Mode control chart provided higher probability of coverage than the Shewhart method; although the detection rate (probability of detection) of out of control condition for these methods was slightly reduced compared with Shewhart method.
机译：通过构造Shewhart控制图分析的质量特性需要正态分布。在采矿应用中，由于许多质量特征遵循偏态或对数正态分布，因此经常会违反此假设。在本文中，使用启发式方法研究了两种方法来为偏斜总体设置控制极限。基于这些方法，构建了模式图和加权方差（WV）控制图。通过在向钢厂供应铁矿石的露天矿中进行的案例研究，将提出的方法的性能与基于常规的Shewhart方法进行了比较。还进行了仿真研究，以评估所提出的方法优于Shewhart方法的有效性。研究表明，与偏态的Fe％群体的模式和加权方差控制图相比，Shewhart控制图产生了更多的失控警报。仿真结果还表明，对于偏斜度极高的人群，WV控制图和模式控制图比Shewhart方法具有更高的覆盖率。尽管与Shewhart方法相比，这些方法的失控条件的检出率（检出概率）略有降低。

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