Performance of Cluster-Based Logistic Profile Monitoring Under Existence of Different Linkage Functions

Subject Areas : Statistical Quality Control

Davood Saremian ¹ (Department of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran)
Rasool Noorossana ² (Information Systems and Operations Management Department, College of Business, University of Central Oklahoma, Edmond, OK, 73034, United States)
Sadigh Raissi ³ (Department of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran)
Paria Soleimani ⁴ (Department of Industrial Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran)

Received: 2023-10-03 Accepted : 2024-09-04 Published : 2024-09-05

Keywords: Binary logistic profiles, Linkage functions, Phase I analysis, Hotelling T^2, Cluster-based control chart,

Abstract :

In monitoring the quality of a product or process, in some cases, the description of the relationship between a response variable and one or more descriptive variables is used, which is called as a profile. But the perceptible challenge in this issue is the reliable estimation of profile parameters that can be very deviated under the influence of outliers. The current study investigates the effect of using different linkage functions, including complete, average, single, weighted, centroid, median, and ward linkage on the performance of cluster-based control charts to monitor logistic profiles. The results of performance comparison based on simulation runs showed that the Hotelling T^2 control chart based on clustering method has better performance than non-clustering method. Also, the performance of using various linkage functions such as average, centroid, and ward linkage outperforms than a complete linkage, and a more accurate estimate of the parameters of control charts is obtained.

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