Multivariate extension to the economical design of control chart under Weibull shock model

Abstract

This article is an extension of research conducted by Banerjee and Rahim in 1988. 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 T ² control chart is derived to deal with situations involving a Weibull shock model with an increasing failure rate. Application of the proposed T ² control chart design is demonstrated through a numerical example. A sensitivity analysis of the model is performed.

Keywords:

• Weibull shock model
• T ² control chart
• Renewal theorem

Acknowledgements

Support for this research was provided in part by the National Science Council of the Republic of China (grant no. NSC-90-2118-M-004-004) and the Natural Sciences and Engineering Research Council (NSERC) of Canada (grant no. OGP 0005838).