An enhanced CUSUM-t chart for process mean

摘要

In this paper, we propose an auxiliary-information-based (AIB) Crosier cumulative sum (CCUSUM) t chart for monitoring the process mean, namely, the AIB-CCUSUM-t chart. The run length characteristics of the proposed chart are computed using Monte Carlo simulation. The optimal parameters for the AIB-CCUSUM-t chart to detect specific mean shifts are computed. The fast initial response (FIR) feature is also attached with the proposed chart. It is found that the AIB-CCUSUM-t and FIR-AIB-CCUSUM-t charts perform uniformly and substantially better than the CCUSUM-t and FIR-CCUSUM-t charts, respectively. An example is presented to support the theory.