Naveed Muhammad, Azam Muhammad, Khan Nasrullah, Aslam Muhammad
Department of Statistics, National College of Business Administration and Economics, Lahore, Pakistan.
Department of Statistics and Computer Science, University of Veterinary and Animal Sciences, Lahore, Pakistan.
J Appl Stat. 2019 Oct 12;47(8):1482-1492. doi: 10.1080/02664763.2019.1676405. eCollection 2020.
In this paper, we presented a memory type control chart (CC) based on multiple dependent state (MDS) sampling to pinpoint the slight variation in the process mean for the quality trait of normal distribution (ND). Two pairs of control limits denominated as internal and external control limits are derived using under control mean and variance. The essential steps are taken to get the value of average run length (ARL) for stable and disturb process. Various tables of ARLs are erected using different smoothing constants, shifts and MDS parameter. Comparisons are established to assess the effectiveness of initiated CC with the various existing CC in term of ARL. It has been ascertained that offered CC manifest the best performance in searching out the diminutive changes in the process mean. Two examples, one is based on simulation study and other is related to real-life data, have been discussed for its practical purpose.
在本文中，我们提出了一种基于多重相依状态（MDS）抽样的记忆型控制图（CC），以精确找出正态分布（ND）质量特性过程均值中的微小变化。使用受控均值和方差得出了两对分别称为内部控制限和外部控制限的控制限。采取了必要步骤来获取稳定和受干扰过程的平均运行长度（ARL）值。使用不同的平滑常数、偏移量和MDS参数建立了各种ARL表。进行了比较，以根据ARL评估初始控制图与各种现有控制图的有效性。已确定所提供的控制图在找出过程均值中的微小变化方面表现出最佳性能。为了实际应用目的，讨论了两个例子，一个基于模拟研究，另一个与实际生活数据相关。
