Friday, 7 November 2025

Application of Self-starting CUSUM (Cumulative Sum) Control Charts for Monitoring Process Performance | Chapter 8 | Mathematics and Computer Science: Research Updates Vol. 7Application of Self-starting CUSUM (Cumulative Sum) Control Charts for Monitoring Process Performance | Chapter 8 | Mathematics and Computer Science: Research Updates Vol. 7

 

Statistical process control (SPC) charts are important tools for detecting process shifts. SPC enables operations to run smoothly and consistently produce goods that meet quality standards. It is widely used in manufacturing and can also be applied to any process where quality and change monitoring are priorities, including in service industries, environmental management, economics, healthcare, and more. The control chart is an important statistical technique that is used to monitor the quality of a process. The most accepted control charts are the Shewhart charts, CUSUM charts and the EWMA charts. Shewhart control charts help to detect larger shifts in the process parameters, but Cumulative Sum (CUSUM) and Exponentially Weighted Moving Average (EWMA) charts are expected for smaller and moderate changes. The CUSUM control chart is normally used in industry for the result of small and moderate shifts in process stability and disparity. It can be shown that if there are sharp, irregular changes to a process, these types of charts are highly effective. On the other hand, if one is involved in a small, persistent shift in a process, other types of control charts may be chosen, for instance, the CUSUM control chart. In this study, a Self-Starting CUSUM control chart was used for monitoring the moisture level of the paper sheet. For monitoring the process, 30 samples were collected from the ongoing process. The results demonstrate that CUSUM charts can detect process shifts as early as the 21st observation, whereas traditional Shewhart charts showed no change. This early detection can help the decision maker to proactively respond to the output and correct the problems in time. The Self-Starting – CUSUM chart is very easy to use, and it quickly detects both small and large shifts in the process mean and /or standard deviation.

 

 

Author(s) Details

S. Subbulakshmi
Department of Statistics, Shri Krishnaswamy College for Women, India.

 

A. Kachimohideen
Department of Statistics, Periyar E. V. R. College, India.

 

Please see the book here :- https://doi.org/10.9734/bpi/mcsru/v7/6431

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