Economic Statistical design of multivariate control charts under Weibull shock model

Abstract

This paper is an extension of research conducted by Banerjee and Rahim (Technometrics 29(6) (1988) 404). Their general approach is now applied to a multivariate control chart instead of a univariate control chart. A cost model for the economic statistical design of a Hotelling T2T2 control chart is derived to deal with situations involving a Weibull shock model with an increasing failure rate. Application of the proposed T2T2 control chart design is demonstrated through a numerical example. A sensitivity analysis of the model is performed.