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

  • M. Pear HossainEmail author
  • Ridwan A. Sanusi
  • M. Hafidz Omar
  • Muhammad Riaz


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.


Maxwell distribution Gamma distribution Exponential family of distribution CUSUM control chart Run length distribution 


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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.


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


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of StatisticsBangabandhu Sheikh Mujibur Rahman Science and Technology UniversityGopalganjBangladesh
  2. 2.School of Data ScienceCity University of Hong KongKowloon TongHong Kong
  3. 3.Department of Systems Engineering and Engineering ManagementCity University of Hong KongKowloon TongHong Kong
  4. 4.Department of Mathematics and StatisticsKing Fahd University of Petroleum and MineralsDhahranSaudi Arabia

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