Control charts, as important tools for the statistical process control, play a vital role to improve the efficiency of the industrial processes. In various fields, the monitored quality characteristic follows a non-normal distribution. Considering the assumption that the time between events follows the exponential distribution, a new t-chart which is based on the process capability index (PCA) is developed in this paper. A multi-objective economic-statistical model is proposed to optimally determine the design parameters of a t-control chart. An algorithm using data envelopment analysis (DEA) is employed to solve the proposed model. The procedure of the algorithm is discussed with the help of a numerical example.
Multi-objective economic-statistical design of a new t-Chart based on the process capability index
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