Economic design of X̅-control charts under generalized exponential shock models with uniform sampling intervals

Abstract

Economic design of X̅-control chart was first presented by Duncan’s model (1956) model and then followed by Hu (1984) with fixed sampling intervals and failure mechanism of Poisson and Weibull distributions, respectively. For the sake of convenience, in many situations, it may be desirable to have frequency of sampling fixed with age of the system and to avoid certain drawbacks of the mentioned distributions. It appears that the Generalized Exponential model can be used as an alternative to the Poisson or Weibull models in many situations. We, here, proposed a cost model based upon Generalized Exponential with uniform sampling intervals.