An Extension of Economic Design of x-Bar Control Charts for Non Normally Distributed Data Under Weibull Shock Models |
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| Authors: | Li Lun Yeh Peng Kai Wang Feng Chia Li Yu Mei Yeh |
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| Affiliation: | 1. Department of Industrial Engineering and Engineering Management , National Tsing Hua University , Hsinchu , Taiwan , R.O.C. d927811@oz.nthu.edu.tw;3. Department of Information and Management , Hwa Hsia Institute of Technology , Taipei , Taiwan , R.O.C.;4. Department of Information and Management , Jen-Teh Junior College of Medicine, Nursing and Management , Miaoli , Taiwan , R.O.C.;5. Institute of Vocational and Technological Education , National Taipei University of Technology , Taipei , Taiwan , R.O.C. |
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| Abstract: | Three parameters—sample size, sampling intervals, and the control limits—must be determined when the x bar chart to monitor a manufacturing process. The constant sampling intervals were widely employed because of its administrative simplicity. However, the variable sampling interval (VSI) has recently been shown to give substantially faster detection of most process shifts than fixed-sampling-interval (FSI) for x-bar charts. In addition, these measurements in the subgroup are assumed to be normally distributed. That assumption may not be tenable. This investigation compares the economic design of x-bar control charts for non normal data under Weibull shock models with various sampling avenues. |
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| Keywords: | Burr distribution Economic design Variable sampling interval Fixed sampling interval Non normal distribution |
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