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A control chart for the generalized exponential distribution under time truncated life test

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Abstract

The usual assumption in the application of control chart is that the process follows a normal distribution. However, in practice, the underlying process distribution is either unknown or non-normal and the use of control chart assuming normality often leads to false alarm in the process. In this article, an attribute control chart under a truncated life test is proposed when the lifetime of a product follows a generalized exponential distribution assuming that the shape parameter is known and a shift in scale parameter has occurred. The control chart coefficient and the truncation constant are determined and the performance of the attribute control chart constructed on time truncated life test is evaluated in terms of the average run length (ARL). Tables of out-of-control ARL are also provided when the scale parameter are shifted. The application of the proposed chart is demonstrated using a simulated dataset for industrial use.

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Acknowledgements

The authors are grateful for the helpful comments and suggestions of the anonymous referees and editor that helped in improving the quality of this paper.

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Authors and Affiliations

  1. Department of Statistics, Federal University of Technology, Akure, 340001, Ondo state, Nigeria

    Olatunde Adebayo Adeoti & Precious Ogundipe

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  1. Olatunde Adebayo Adeoti
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  2. Precious Ogundipe
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Correspondence to Olatunde Adebayo Adeoti.

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Adeoti, O.A., Ogundipe, P. A control chart for the generalized exponential distribution under time truncated life test. Life Cycle Reliab Saf Eng 10, 53–59 (2021). https://doi.org/10.1007/s41872-020-00146-9

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