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A new adaptive control chart for monitoring process mean and variability

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Abstract

Traditionally, an \(\bar{X}\) chart is used to control the process mean, and an R chart is used to control the variance. However, these charts are not sensitive to the small shifts in the processes. The adaptive charts might be considered if the aim is to detect process changes quickly. In this paper, we propose a new adaptive single control chart which integrates the exponentially weighted moving average procedure with the generalized likelihood ratio test statistics for jointly monitoring both the process mean and variability. This new chart is effective in detecting the disturbances that shift the process mean, increase or decrease the process variance, or lead to a combination of both effects.

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Authors and Affiliations

  1. Department of Mathematics, Liaoning University, Shenyang, 110036, People’s Republic of China

    Jiujun Zhang

  2. LPMC and School of Mathematical Sciences, Nankai University, Tianjin, 300071, People’s Republic of China

    Zhonghua Li & Zhaojun Wang

Authors
  1. Jiujun Zhang
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  2. Zhonghua Li
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  3. Zhaojun Wang
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Corresponding author

Correspondence to Zhaojun Wang.

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Zhang, J., Li, Z. & Wang, Z. A new adaptive control chart for monitoring process mean and variability. Int J Adv Manuf Technol 60, 1031–1038 (2012). https://doi.org/10.1007/s00170-011-3662-2

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  • DOI: https://doi.org/10.1007/s00170-011-3662-2

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