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An Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location

Author

Listed:
  • Zahid Rasheed
  • Hongying Zhang
  • Muhammad Arslan
  • Babar Zaman
  • Syed Masroor Anwar
  • Muhammad Abid
  • Saddam Akber Abbasi

Abstract

The nonparametric (NP) control charts are famous for detecting a shift in the process parameters (location and/or dispersion) when the underlying process characteristic does not follow the distributional assumptions. Similarly, when the cost of estimations is very high and the ranking of observational is relatively simple, the ranked set sampling (RSS) technique is preferred over the simple random sampling (SRS) technique. On the other hand, the NP triple exponentially weighted moving average (EWMA) control chart based on SRS is superior to the NP EWMA and NP double EWMA (NP DEWMA) based on the SRS technique to detect a shift in the process location. This study designed an advanced form of NP TEWMA Wilcoxon signed-rank based on RSS, denoted as control chart to identify a shift in the process location parameter. The Monte Carlo simulation method is used to assess the performance of the proposed control chart along with SRS-based NP TEWMA (TEWMA-SR), SRS-based NP TEWMA sign (TEWMA-SN), SRS-based , and RSS-based NP DEWMA-SR control charts. The study shows that the proposed control chart is more efficient in identifying shifts (especially in small shifts) in the process location than the existing control charts. Finally, a real-life application is also provided for the practical implementation of the proposed control chart.

Suggested Citation

  • Zahid Rasheed & Hongying Zhang & Muhammad Arslan & Babar Zaman & Syed Masroor Anwar & Muhammad Abid & Saddam Akber Abbasi, 2021. "An Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-28, October.
    • Handle: RePEc:hin:jnlmpe:2570198
    DOI: 10.1155/2021/2570198
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    Cited by:

    1. Khanittha Talordphop & Yupaporn Areepong & Saowanit Sukparungsee, 2023. "Design and Analysis of Extended Exponentially Weighted Moving Average Signed-Rank Control Charts for Monitoring the Process Mean," Mathematics, MDPI, vol. 11(21), pages 1-15, October.
    2. Muhammad Ali Raza & Komal Iqbal & Muhammad Aslam & Tahir Nawaz & Sajjad Haider Bhatti & Gideon Mensah Engmann, 2023. "Mixed Exponentially Weighted Moving Average—Moving Average Control Chart with Application to Combined Cycle Power Plant," Sustainability, MDPI, vol. 15(4), pages 1-17, February.

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