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An attribute control chart using discriminant limits for monitoring process under the Weibull distribution

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Abstract

A new efficient process monitoring scheme has been developed for a process under which the quality characteristic follows the Weibull distribution. Recently control charts using discriminant limits for process monitoring for a normal distribution have been developed. But, there are many situations in which the distribution of underlying data is not normal. So, the application of such chart to a skewed distribution like the Weibull distribution may lead to erroneous conclusions. In this paper, an attribute chart using discriminant limits for the Weibull distribution has been developed. The parameters of the proposed chart have been determined by considering the in-control average run lengths. An example using the simulation data has been included for the practical use of the proposed scheme. It has been observed that the proposed chart is efficient for the quick detection of an out-of-control process. A real example from a healthcare area is also added to show the application of the proposed control chart.

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Acknowledgements

The authors are deeply thankful to editor and reviewers for their valuable suggestions to improve the quality of this manuscript. This article was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah. The author, Muhammad Aslam, therefore, acknowledge with thanks DSR technical and financial support.

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Authors and Affiliations

  1. Department of Statistics and Computer Science, University of Veterinary and Animal Sciences, Lahore, 54000, Pakistan

    Muhammad Azam & Liaquat Ahmad

  2. Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, 21551, Saudi Arabia

    Muhammad Aslam

  3. Department of Industrial and Management Engineering, POSTECH, Pohang, 790-784, Republic of Korea

    Chi-Hyuck Jun

Authors
  1. Muhammad Azam
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  2. Liaquat Ahmad
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  3. Muhammad Aslam
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  4. Chi-Hyuck Jun
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Corresponding author

Correspondence to Muhammad Aslam.

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Azam, M., Ahmad, L., Aslam, M. et al. An attribute control chart using discriminant limits for monitoring process under the Weibull distribution. Prod. Eng. Res. Devel. 12, 659–665 (2018). https://doi.org/10.1007/s11740-018-0833-0

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  • DOI: https://doi.org/10.1007/s11740-018-0833-0

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