# The Parameter Selection and Average Run Length Computation for EWMA Control Charts

### Sheng Shu Cheng, Fong-Jung Yu, Shih-Ting Yang, Jiang-Liang Hou

#### Abstract

In the Statistical Process Control (SPC) field, an Exponentially Weighted Moving Average for Stationary processes (EWMAST) chart with proper control limits has been proposed to monitor the process mean of a stationary autocorrelated process. There are two issues of note when using the EWMAST charts. These are the smoothing parameter selections for the process mean shifts, and the determination of the control limits to meet the required average run length (ARL). In this paper, a guideline for selecting the smoothing parameter is discussed. These results can be used to select the optimal smoothing parameter in the EWMAST chart. Also, a numerical procedure using an integration approach is presented for the ARL computation with the specified control limits. The proposed approach is easy to implement and provides a good approximation to the average run length of EWMAST charts.

#### References

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#### Paper Citation

#### in Harvard Style

Cheng S., Yu F., Yang S. and Hou J. (2014). **The Parameter Selection and Average Run Length Computation for EWMA Control Charts** . In *Proceedings of the International Conference on Neural Computation Theory and Applications - Volume 1: NCTA, (IJCCI 2014)* ISBN 978-989-758-054-3, pages 294-299. DOI: 10.5220/0005146902940299

#### in Bibtex Style

@conference{ncta14,

author={Sheng Shu Cheng and Fong-Jung Yu and Shih-Ting Yang and Jiang-Liang Hou},

title={The Parameter Selection and Average Run Length Computation for EWMA Control Charts},

booktitle={Proceedings of the International Conference on Neural Computation Theory and Applications - Volume 1: NCTA, (IJCCI 2014)},

year={2014},

pages={294-299},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005146902940299},

isbn={978-989-758-054-3},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the International Conference on Neural Computation Theory and Applications - Volume 1: NCTA, (IJCCI 2014)

TI - The Parameter Selection and Average Run Length Computation for EWMA Control Charts

SN - 978-989-758-054-3

AU - Cheng S.

AU - Yu F.

AU - Yang S.

AU - Hou J.

PY - 2014

SP - 294

EP - 299

DO - 10.5220/0005146902940299