Abstract
This paper proposes a new control chart for the Birnbaum–Saunders distribution based on multiple dependent state repetitive sampling (MDSRS). The proposed control chart is a generalization of the control charts based on single sampling, repetitive sampling, and multiple dependent state sampling. Its sensitivity is evaluated in terms of the average run length (ARL) using both exact formulae and simulations. A comprehensive comparison between the Birnbaum–Saunders distribution control chart based on the MDSRS method and other existing competing methods is provided using a simulation study as well as a real-life illustration. The results reveal that the proposed chart outperforms the existing charts considered in this study by having better shift detection ability.
Highlights
IntroductionAttribute and variable control charts have been widely used in manufacturing as well as in industrial and nonindustrial service operations to monitor the flaws in the process in order to improve the quality of the outputs and/or services
Attribute and variable control charts have been widely used in manufacturing as well as in industrial and nonindustrial service operations to monitor the flaws in the process in order to improve the quality of the outputs and/or services.e variable chart is more informative but not simple in the application as compared to the attribute one
If the sample point plots within the upper control limit (UCL) and lower control limit (UCL), the process is declared to be in control; otherwise, the process is considered to be out of control
Summary
Attribute and variable control charts have been widely used in manufacturing as well as in industrial and nonindustrial service operations to monitor the flaws in the process in order to improve the quality of the outputs and/or services. Aslam et al [25] proposed a control chart when the quality characteristics follow a gamma distribution using the MDSS method. Aldosari et al [28] introduced the attribute control chart using the multiple dependent state repetitive sampling (MDSRS) method. Aldosari et al [29] developed a control chart based on MDSRS when the quality characteristics follow a multivariate Poisson distribution. The MDSRS method has not yet been used to improve the existing charts when the quality characteristics follow a BS distribution. Erefore, the present article deals with the development of the control chart based on the BS distribution using the MDSRS method.
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