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

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.