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Rank-Based Control Charts Under Non-Overlapping Counting with Practical Applications in Logistics and Services

Author

Listed:
  • Ioannis S. Triantafyllou

    (Department of Statistics and Insurance Science, University of Piraeus, 18534 Piraeus, Greece
    Department of Management Studies, Graphic Era Deemed to be University, Dehradun 248002, Uttarakhand, India)

Abstract

In this article, we establish a constructive nonparametric scheme for monitoring the quality of services provided by a transportation company. The proposed methodology aims at achieving the diligent tracking of the underlying process and the swift detection of any potential malfunctions. The implementation of the new framework requires the construction of appropriate schemes, which follow the set-up of a Shewhart chart and are connected to ranks and multiple run decision criteria. The dispersion and the mean value of the run length distribution for the suggested distribution-free scheme are investigated for the special case k = 2 . For illustration purposes, a real-data logistics environment is discussed, whereas the proposed approach is applied for improving the quality of the provided services.

Suggested Citation

  • Ioannis S. Triantafyllou, 2025. "Rank-Based Control Charts Under Non-Overlapping Counting with Practical Applications in Logistics and Services," Stats, MDPI, vol. 8(4), pages 1-15, October.
  • Handle: RePEc:gam:jstats:v:8:y:2025:i:4:p:94-:d:1767698
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    References listed on IDEAS

    as
    1. Ioannis S. Triantafyllou, 2024. "Wilcoxon-Type Control Charts Based on Multiple Scans," Stats, MDPI, vol. 7(1), pages 1-16, March.
    2. Dabuxilatu Wang & Liang Zhang & Qiang Xiong, 2017. "A non parametric CUSUM control chart based on the Mann–Whitney statistic," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(10), pages 4713-4725, May.
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