Analysis of Residual Chlorine in Water Production using MEC Control Charts with Fast Initial Response Features

Authors

  • Serly Malinda Instititut Teknologi dan Bisnis Muhammadiyah

DOI:

https://doi.org/10.30656/jika.v6i1.11687

Keywords:

Quality Control, Residual Chlorine, MEC Control Chart, Fast Initial Response (FIR), Water Production

Abstract

Problems: Residual chlorine is a crucial parameter in water production processes to ensure microbiological safety. However, conventional statistical process control charts often exhibit limited sensitivity to detecting small, early shifts, particularly during the initial monitoring (startup) phase. Excessive or insufficient residual chlorine levels may pose health risks and indicate instability in the production process, highlighting the need for more responsive monitoring tools.

Purpose: This study aims to evaluate the performance of the Mixed EWMA–CUSUM (MEC) control chart integrated with Fast Initial Response (FIR) and Modified Fast Initial Response (MFIR) features in monitoring free residual chlorine levels in water production systems.

Methodology: This study employs a quantitative analytical approach using secondary data obtained from a real water production process. The MEC control chart combines the strengths of EWMA and CUSUM to improve sensitivity to small shifts, while incorporating FIR and MFIR features to enhance early detection during the startup phase. Various parameter combinations are examined to assess detection behavior and control limit characteristics.

Results/Findings: The results indicate that the MEC control chart with MFIR features provides earlier and more sensitive detection of potential process deviations compared to conventional approaches. In particular, the MFIR chart with parameters and produces narrower control limits during the initial phase and identifies three out-of-control observations. These findings demonstrate that integrating MFIR into the MEC framework enhances early-stage monitoring performance and offers practical benefits for residual chlorine surveillance in water production systems.

Paper Type: quantitative analytical research

Downloads

Download data is not yet available.

References

Abbas, N. (2018). Homogeneously weighted moving average control chart with an application in substrate manufacturing process. Computers & Industrial Engineering, 120(April), 460–470. https://doi.org/10.1016/j.cie.2018.05.009

Abbas, N., Raji, I. A., Riaz, M., & Al-Ghamdi, K. (2018). On Designing Mixed EWMA Dual-CUSUM Chart With Applications in Petro-Chemical Industry. IEEE Access, 6, 78931–78946. https://doi.org/10.1109/ACCESS.2018.2885598

Abbas, N., Riaz, M., & Does, R. J. M. M. (2013). Mixed Exponentially Weighted Moving Average–Cumulative Sum Charts for Process Monitoring. Quality and Reliability Engineering International, 29(3), 345–356. https://doi.org/10.1002/qre.1385

Abbas, N., Saeed, U., & Riaz, M. (2019). Assorted control charts: An efficient statistical approach to monitor pH values in ecotoxicology lab. Journal of Chemometrics, 33(6), 1–20. https://doi.org/10.1002/cem.3129

Asmara, N. H. D., Wibawati, Ahsan, M., Mashuri, M., & Khusna, H. (2021). Quality of Water Production Process Using Mixed Multivariate EWMA-CUSUM (MEC) Control Chart. Journal of Physics: Conference Series, 1863(1), 012037. https://doi.org/10.1088/1742-6596/1863/1/012037

Capizzi, G., & Masarotto, G. (2003). An Adaptive Exponentially Weighted Moving Average Control Chart. Technometrics, 45(3), 199–207. https://doi.org/10.1198/004017003000000023

Crowder, S. V. (1987). Average Run Lengths of Exponentially Weighted Moving Average Control Charts. Journal of Quality Technology, 19(3), 161–164. https://doi.org/10.1080/00224065.1987.11979055

de Vargas, V. do C. C., Dias Lopes, L. F., & Mendonça Souza, A. (2004). Comparative study of the performance of the CuSum and EWMA control charts. Computers & Industrial Engineering, 46(4), 707–724. https://doi.org/10.1016/j.cie.2004.05.025

Haq, A., Abidin, Z. U., & Khoo, M. B. C. (2019). An enhanced EWMA- t control chart for monitoring the process mean. Communications in Statistics - Theory and Methods, 48(6), 1333–1350. https://doi.org/10.1080/03610926.2018.1429631

Haq, A., Brown, J., & Moltchanova, E. (2014). Improved fast initial response features for exponentially weighted moving average and cumulative sum control charts. Quality and Reliability Engineering International, 30(5), 697–710. https://doi.org/10.1002/qre.1521

Hu, X., Zhang, S., Xie, F., Tang, A., & Zhong, J. (2022). On designing the two one-sided mixed EWMA-CUSUM monitoring schemes for the coefficient of variation with an application to the sintering process. Computers & Industrial Engineering, 169, 108212. https://doi.org/10.1016/j.cie.2022.108212

Kwio-Tamale, J. C., & Onyutha, C. (2024). Influence of physical and water quality parameters on residual chlorine decay in water distribution network. Heliyon, 10(10), e30892. https://doi.org/10.1016/j.heliyon.2024.e30892

Letshedi, T. I., Malela‐Majika, J., Castagliola, P., & Shongwe, S. C. (2021). Distribution‐free triple EWMA control chart for monitoring the process location using the Wilcoxon rank‐sum statistic with fast initial response feature. Quality and Reliability Engineering International, 37(5), 1996–2013. https://doi.org/10.1002/qre.2842

Lucas, J. M., & Crosier, R. B. (2000). Fast Initial Response for CUSUM Quality-Control Schemes: Give Your CUSUM A Head Start. Technometrics, 42(1), 102–107. https://doi.org/10.1080/00401706.2000.10485987

Lucas, J. M., & Saccucci, M. S. (1990). Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements. Technometrics, 32(1), 1–12. https://doi.org/10.1080/00401706.1990.10484583

Mohamadkhani, A., & Amiri, A. H. (2020). Developing Mixed EWMA-CUSUM and CUSUM-EWMA control charts based on MRSS and DRSS procedures. Scientia Iranica, 29, 0–0. https://doi.org/10.24200/sci.2020.55632.4328

Mohd Noor, N. F., Abdul-Rahman, A., & Atta, A. M. A. (2023). The Performances of Mixed Ewma-Cusum Control Charts Based on Median-Based Estimators Under Non-Normality. Jurnal Teknologi, 86(1), 135–143. https://doi.org/10.11113/jurnalteknologi.v86.20450

Montgomery, D. C. (2009). Introduction to Statistical Quality Control.

Osei-Aning, R., Abbasi, S. A., & Riaz, M. (2017). Mixed EWMA-CUSUM and mixed CUSUM-EWMA modified control charts for monitoring first order autoregressive processes. Quality Technology & Quantitative Management, 14(4), 429–453. https://doi.org/10.1080/16843703.2017.1304038

Page, E. S. (1954). Continuous Inspection Schemes. Biometrika, 41(1/2), 100. https://doi.org/10.2307/2333009

Rhoads, T. R., Montgomery, D. C., & Mastrangelo, C. M. (1996). A Fast Initial Response Scheme For The Exponentially Weighted Moving Average Control Chart. Quality Engineering, 9(2), 317–327. https://doi.org/10.1080/08982119608919048

Sari, S. P., Maiyastri, M., & Devianto, D. (2024). The Mixed Univariate Control Chart Ewma and Cusum for Flavour Production Quality Process Monitoring. Jurnal Matematika UNAND, 13(4), 309–315. https://doi.org/10.25077/jmua.13.4.309-315.2024

Shamma, S. E., & Shamma, A. K. (1992). Development and Evaluation of Control Charts Using Double Exponentially Weighted Moving Averages. International Journal of Quality & Reliability Management, 9(6). https://doi.org/10.1108/02656719210018570

Steiner, S. H. (1999). EWMA Control Charts with Time-Varying Control Limits and Fast Initial Response. Journal of Quality Technology, 31(1), 75–86. https://doi.org/10.1080/00224065.1999.11979899

World Health Organization. (2017). Principles and Practices of Drinking-water Chlorination.

Downloads

Published

2026-02-21

Issue

Section

Articles