A new variable control chart under generalized multiple dependent state sampling

Abstract

In this article, we have introduced a new scheme, generalized multiple dependent state (GMDS) sampling by incorporating an additional parameter in the existing MDS to enhance its efficiency, and then integrated it to construct the variable control chart for monitoring the normal process mean. The proposed chart based on GMDS has two pairs of control limits. The charting strategy utilizes the past samples information in conjunction with the current samples information. The performance comparison of the proposed chart with the existing Shewhart type control charts are made by using out-of-control average run length$$for various shifts in the process mean. For practical application, two empirical illustrations are provided which establishes the supremacy of the proposed control chart. Simulation study also showed the dominance of the proposed chart over other existing control charts.

Keywords:

• Control chart
• Average run length
• Repetitive sampling
• Multiple dependent state sampling

Acknowledgments

The authors are deeply thankful to the editor and reviewers for their valuable suggestions to improve the quality of this manuscript. This article was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah. The author, Muhammad Aslam, therefore, acknowledge with thanks DSR technical and financial support. The work by Muhammad Ali Raza was partially supported by National Natural Science Foundation of China (11531001). The work by Chi-Hyuck Jun was supported by Ministry of Trade, Industry and Energy of Korea through the project entitled “development of integrated operational technologies for smart factory application with manufacturing big data”.