Designing a CUSUM Control Chart for Monitoring the Weibull Scale Parameter in Two-Stage Processes

چکیده مقاله

In this paper, we propose a CUSUM control chart to monitor the Weibull scale parameter of type II censored reliability data in two-stage processes. A cumulative sum (CUSUM) control chart is devised to detect decreases in the mean level of reliability-related quality characteristic. The proposed control scheme is based on standard smallest extreme value (SSEV) distributions derived from Weibull processes to effectively account for the cascade property which is the main characteristic of multistage processes. Subsequently, simulation study is conducted to evaluate the performance of the control charts using average run length (ARL) criterion. Moreover sensitivity analysis is done to study the impact of failure number in the sample size on the performance of proposed control chart.

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