Statistical Performance Analysis of a VP X Control Chart with B&L Switching Rule by Using a Markov Chain Model

Abstract

Abstract: In statistical process control, variable parameter (VP)X chart is widely used. To improve the performance of the VPXchart, Bai & Lee (B&L) switching rules are applied to design the VPX chart. By this method, a Markov chain model is developed to obtain the expressions of Average Time to Signal (ATS), Adjusted Average Time to Signal (AATS), and average number of switches (ANSW). To evaluate the performance of the proposed method, comparison is done between the chart designed by the proposed method and the existing VPX chart by using two samples. Results show that, with the same average runtime, the proposed method outperforms the existing VPX chart in both shortening the alarm time and in reducing the number of switch times. The larger the parameter L is, the better the performance of the proposed method is.

Key words: statistical process control, control chart, variable parameter X chart, Markov chain

Guo Zhifang， Cheng Longsheng. Statistical Performance Analysis of a VP X Control Chart with B&L Switching Rule by Using a Markov Chain Model[J]. Industrial Engineering Journal , 2012, 15(3): 87-91.

References

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