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Enhanced performance of mixed HWMA-CUSUM charts using auxiliary information
Faiza Zubair1, Rehan Ahmad Khan Sherwani2, Muhammad Abid3
1Higher Education Department, Lahore, Pakistan.
Plos One
|September 15, 2023
Summary
A new quality control chart, MHCAIB, enhances process monitoring using auxiliary information. This mixed homogeneously weighted moving average-cumulative sum (HWMA-CUSUM) chart offers improved detection of small to moderate process shifts.
Area of Science:
- Industrial Engineering
- Statistical Process Control
- Quality Management
Background:
- Quality control (QC) is crucial for manufacturing and industry, ensuring product quality and customer satisfaction.
- Statistical process control (SPC) tools, particularly control charts, are vital for monitoring industrial processes.
- There is a continuous need for advanced control charting schemes to enhance high-quality monitoring.
Purpose of the Study:
- To enhance the performance of the mixed homogeneously weighted moving average (HWMA)-cumulative sum (CUSUM) control chart.
- To introduce a novel control chart, MHCAIB, by integrating an auxiliary information-based (AIB) regression estimator.
- To evaluate the efficiency and effectiveness of the proposed MHCAIB chart in process monitoring.
Main Methods:
- Development of the mixed homogeneously weighted moving average (HWMA)-cumulative sum (CUSUM) control chart integrated with an auxiliary information-based (AIB) regression estimator (MHCAIB).
- Utilizing run length (RL) measures for performance evaluation and comparison.
- Comparing the proposed MHCAIB chart against existing AIB charts, including CUSUMAIB, EWMAAIB, MECAIB, and HWMAAIB.
Main Results:
- The proposed MHCAIB chart provides an unbiased and more efficient estimator of the process location.
- Performance comparisons based on run length indicate that the MHCAIB chart is superior in monitoring small to moderate shifts compared to existing charts.
- The chart's performance demonstrates improvement with increased correlation between the study variable and the auxiliary variable.
Conclusions:
- The MHCAIB chart represents a significant enhancement in quality control for detecting process shifts.
- The integration of auxiliary information significantly improves the efficiency of HWMA-CUSUM control charts.
- The proposed chart offers practical benefits for industrial applications requiring precise process monitoring.
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