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On designing Maxwell CUSUM control chart: an efficient way to monitor failure rates in boring processes

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Abstract

The ordinary CUSUM chart is based on normality assumption. But in real-life phenomenon such as monitoring of lifetime variable, this assumption is not always valid. Hence, a variant of the CUSUM chart, the VCUSUM chart, has been constructed to monitor small shift in a process that is based on a Maxwell distribution. The performance of the chart has been checked by studying the run length properties and it was found to perform better for small shifts as compared to Shewhart type V chart for Maxwell parameter. Finally, a real-life application is presented to monitor the failure rate of a vertical boring machine.

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Acknowledgements

Dr. Omar and Dr. Riaz would like to acknowledge research facilities made available to them by King Fahd University of Petroleum and Minerals, Saudi Arabia.

Funding

Mr. Hossain would like thank Bangabandhu Sheikh Mujibur Rahman Science and Technology University for research support through grant no. 5921.

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Authors and Affiliations

  1. Department of Statistics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, 8100, Bangladesh

    M. Pear Hossain

  2. School of Data Science, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong

    M. Pear Hossain

  3. Department of Systems Engineering and Engineering Management, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong

    Ridwan A. Sanusi

  4. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    M. Hafidz Omar & Muhammad Riaz

Authors
  1. M. Pear Hossain
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  2. Ridwan A. Sanusi
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  3. M. Hafidz Omar
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  4. Muhammad Riaz
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Correspondence to M. Pear Hossain.

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Hossain, M.P., Sanusi, R.A., Omar, M.H. et al. On designing Maxwell CUSUM control chart: an efficient way to monitor failure rates in boring processes. Int J Adv Manuf Technol 100, 1923–1930 (2019). https://doi.org/10.1007/s00170-018-2679-1

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  • DOI: https://doi.org/10.1007/s00170-018-2679-1

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