Lifetime data has some distinguishing features which make the development of control charts for lifetime monitoring more demanding, i.e., the
data is usually censored, and has non-normal-skewed distributions. To deal
with censored data, different schemes are proposed, right censoring, left censoring and interval censoring are among others. In this paper, to monitor the
lifetime data of Weibull distribution, a variable control chart is developed. The
data is obtained according to a type II right censoring which is also known as
failure censoring. The performance of the proposed control chart is compared
with another control chart presented in the literature. In designing the control
charts, a new parameter is introduced which arbitrarily distributes type I error
between the upper control limit and lower control limit of the control charts.
By changing this parameter, the one-sided and two-sided control charts can
be easily provided. Using simulation studies, applications of the control charts
are illustrated. Also, a discussion regarding the applications in real data is
provided.