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Monitoring time and magnitude based on the renewal reward process with a random failure threshold
Sajid Ali1,2
1Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan.
Journal of Applied Statistics
|June 16, 2022
Summary
This study introduces a novel control chart for monitoring high-quality products, effectively distinguishing between special and natural process variations using a renewal reward process. The proposed method models magnitude by threshold exceedance for improved process control.
Area of Science:
- Industrial Engineering
- Statistical Process Control
- Quality Management
Background:
- Traditional control charts face limitations with high-quality products due to modern technological advancements.
- Effective process monitoring is crucial across manufacturing, medical, and business industries.
Purpose of the Study:
- To develop an advanced control chart for jointly monitoring time and magnitude.
- To address the drawbacks of traditional techniques in high-quality product environments.
Main Methods:
- Utilizing a renewal reward process for joint time and magnitude monitoring.
- Modeling magnitudes through threshold exceedance with a random failure threshold.
- Considering two cases: cumulative and non-cumulative magnitude.
Main Results:
- The proposed control chart effectively monitors processes by considering both time and magnitude.
- Modeling magnitude via threshold exceedance provides a robust approach for process analysis.
- Comparative analysis demonstrates the enhanced effectiveness of the new control chart.
Conclusions:
- The developed control chart offers a superior alternative for monitoring processes with high-quality products.
- This method enhances the ability to detect and manage process variations.
- The study provides valuable insights for quality control in various industries.
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