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

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.