An attribute control chart for a Weibull distribution under accelerated hybrid censoring

Area of Science:

• Industrial Engineering
• Quality Control
• Statistical Process Control

Background:

• Monitoring defective items is crucial for product quality.
• Traditional control charts may not be efficient for accelerated life testing.
• Weibull distribution is commonly used for product reliability analysis.

Purpose of the Study:

• To propose a novel attribute control chart for monitoring defective items under accelerated hybrid censoring.
• To evaluate the performance of the proposed control chart using average run lengths and simulation studies.
• To compare the proposed chart with the Shewhart np chart for process shift detection.

Main Methods:

• Development of an attribute control chart based on accelerated hybrid censoring.
• Derivation of control limits using binomial distribution.
• Modeling the fraction defective using shape parameter, acceleration factor, and test duration.
• Performance assessment through average run length tables and simulation studies.

Main Results:

• The proposed control chart effectively monitors defective items with Weibull distribution under accelerated testing.
• Average run length tables indicate good performance across various process parameters.
• Simulation studies show the proposed chart has superior detection power for process shifts compared to the Shewhart np chart.

Conclusions:

• The proposed attribute control chart offers an effective tool for quality monitoring in accelerated life testing scenarios.
• The chart provides a practical and powerful method for detecting process shifts, enhancing quality control.
• This approach is valuable for industries utilizing accelerated testing to assess product reliability and quality.