Hafiz Zain Pervaiz, S. Raza, Muhammad Moeen Butt, Saira Sharif, Muhammad Haider
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引用次数: 0
摘要
在本文中,我们提出了一种混合指数加权移动平均(HEWMA)控制图,该控制图基于使用单个辅助变量和单个辅助属性的均值混合比估计器(Moeen et al.,[1])。我们称之为Z-HEWMA控制图。使用失控平均运行长度(ARL1)来评估所提出的控制图性能。所提出的图表的控制极限是基于估计器的均方误差。通过仿真实例对所提出的Z-HEWMA、传统/简单EWMA图和CUSUM控制图进行了比较。从这项研究中可以看出,与传统/简单的EWMA和CUSUM控制图相比,Z-HEWMA控制图显示出更有效的结果。Z-HEWMA图表可用于有效监控制造业的生产过程,其中可以获得有关数值变量和属性的辅助信息。
A New Hybrid Exponentially Weighted Moving Average control chart using Mixture Ratio Estimator of Mean
In this paper, we propose a Hybrid Exponentially Weighted Moving Average (HEWMA) control chart based on a mixture ratio estimator of mean using a single auxiliary variable and a single auxiliary attribute (Moeen et al., [1]). We call it as Z- HEWMA control chart. The proposed control chart performance is evaluated using outof- control-Average Run Length (ARL1). The control limits of the proposed chart is based on estimator, its mean square errors. A simulated example is used to compare the proposed Z-HEWMA, traditional/simple EWMA chart and CUSUM control chart. From this study the fact is revealed that Z-HEWMA control chart shows more efficient results as compared to traditional/simple EWMA and CUSUM control charts. The Z-HEWMA chart can be used for efficient monitoring of the production process in manufacturing industries where auxiliary information about a numerical variable and an attribute is available.