A new double EWMA-t chart with auxiliary information for the process mean |
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| Authors: | Abdul Haq Sana Ejaz Ming Ha Lee Manzoor Khan |
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| Affiliation: | 1. Department of Statistics, Quaid-i-Azam University, Islamabad, Pakistan;2. Faculty of Engineering, Computing and Science, Swinburne University of Technology, Sarawak Campus, Sarawak, Malaysia |
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| Abstract: | In this paper, we propose an auxiliary-information-based (AIB) double EWMA- (AIB-DEWMA-) chart for monitoring the process mean. The DEWMA- chart encompasses the EWMA- and AIB-EWMA- charts. The Monte Carlo simulations are used to compute the run length characteristics of the AIB-DEWMA- chart. Based on detailed run length comparisons, it is found that the AIB-DEWMA- chart may uniformly and substantially outperform the AIB-EWMA- chart when detecting different shifts in the process mean. In addition, the AIB-DEWMA- chart is uniformly more sensitive than the DEWMA- chart. Similar trends are observed when comparing these control charts with the variable sampling interval feature. A real dataset is also considered to demonstrate the implementation of the proposed chart. |
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| Keywords: | auxiliary information average run length DEWMA and EWMA charts fixed and variable sampling intervals Monte Carlo simulation process mean statistical process control |
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