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Enhancing the performance of exponential weighted moving average control chart using paired double ranked set sampling

机译:使用配对双排列采样增强指数加权移动平均控制图表的性能

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The exponentially weighted moving average (EWMA) control chart is good enough to capture a small/moderate shift in the process-mean as it has the ability to provide good detection of a said shift by using current as well as past information about the process. To enhance the performance of EWMA chart, cost-effective and efficient ranked set sampling (RSS) type methods, named paired double-RSS (PDRSS), extreme paired double-RSS (EPDRSS) and quartile paired double-RSS (QPDRSS) are used to propose EWMA-PDRSS, EWMA-EPDRSS and EWMA-QPDRSS charts. By using the simulation study, the performance of developed control charts is evaluated in terms of average run length (ARL) as well as standard deviation of run length (SDRL) measures. The simulation results revealed that the proposed charts surpass the simple random sampling (SRS) based classical EWMA (EWMA-SRS) chart when capturing a small/moderate shift in the process-mean. An illustrative application is also presented to support the proposed study.
机译:指数加权的移动平均(EWMA)控制图足够好,以捕获过程均值的小/中等移位,因为它具有通过使用电流以及关于该过程的过去的信息来提供良好检测所述班次的能力。为了增强EWMA图表的性能,使用成本效益和高效的排名设置采样(RSS)类型方法,命名为配对的双RSS(PDRS),极限配对的双RSS(EPDRS)和Quartile配对的双RS(QPDRS)提出EWMA-PDRS,EWMA-EPDRS和EWMA-QPDRSS图表。通过使用仿真研究,在平均运行长度(ARL)和运行长度(SDRL)测量的标准偏差方面评估开发控制图表的性能。仿真结果表明,当捕获过程均值的小/中等移位时,所提出的图表超越了基于简单的随机采样(SRS)的经典EWMA(EWMA-SRS)图表。还提出了一种说明性应用来支持所提出的研究。

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