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

Shervin Asadzadeh¹ Fatemeh Kiadaliry²

1) Assistant Professor, Department of Industrial Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran
2) Post-gradaute Student, Department of Industrial Engineering, North Tehran Branch, Islamic Azad University, Tehran, Iran

IOI Code : XYFK-BBKAD
Publication : 4th International Conference On Research in Engineering, Science And Technology(4restconf.com)
Abstract :
    In this paper, we propose a cumulative sum(CUSUM) control chart to monitor the Weibull scale parameter of type II censored reliability data in two-stage processes. The 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.

Keywords : cascade property multistage process cusum control chart type ii censoring weibull distribution smallest extrem value distribution