A resubmission-based variable control chart

Abstract

In this paper, an attempt is made to develop a new variable control chart under the resubmitted sampling scheme. The resubmission of a sample allows retaking a sample to pass through inspection/analyzing if there is a question on the inspection of the sample at any stage. The proposed control chart includes the X-bar chart as a special case. The performance of the proposed control chart is assessed by determining the in-control and out-of-control average run lengths for the various parametric settings. For illustrative purposes, a real-life example is presented to explain a detailed implementation of the proposed control chart.

Keywords:

• Statistical quality control
• average run length
• resubmitted sampling
• variable control chart

Acknowledgments

We are thankful to the editor and reviewers for their valuable suggestions to improve the quality of the paper. The work by Chi-Hyuck Jun was supported by Korea Institute for Advancement of Technology (KIAT) grant funded by the Korea Government (MOTIE) (P0008691, HRD Program for Industrial Innovation).