Used Gamma Control Chart on L.O.I of Cement Factor

Kawa Mohammed  Jamal; Shalaw Latif  Khdir

doi:10.25098/5.2.18

Authors

Kawa Mohammed Jamal Statistics and Informatics Department, College Administration and Economic, University of Sulaimani, Sulaimani, Iraq
Shalaw Latif Khdir Statistics and Informatics Department, College Administration and Economic, University of Sulaimani, Sulaimani, Iraq

DOI:

https://doi.org/10.25098/5.2.18

Keywords:

GAMMA control chart, Wilson-Hilferty, Monitor, Scale and Shape parameter, ARL

Abstract

Control charts are one of the scientific, statistical tools widely used to monitor the processes' stability and performance and detect abnormal changes and variations in the processes quickly by monitoring and controlling the processes. The purpose of a GAMMA control chart has been performed using the cement product factory in Sulaimani of interest supports variable the gamma distribution. The Wilson-Hilferty estimate is applied to change the gamma variable characteristic to a normal random variable. The Gamma control chart for data monitors the time until an event assumes that a particular event follows a homogeneous Poisson process. We display the GAMMA control chart's construction and determine the average run lengths for control and a shifted process. The out-of-control ARL is received after the procedure is shifted in intervals of the Gamma distribution scale parameter. Therefore, according process shift parameters, the ARLs are shown for many values of the shape parameter. Control charts have been evaluated to determine the effectiveness of the aimed chart. The implementation of the suggested map is shown using information on cement products. The GAMMA control chart is said to be more sensitive and reliable in identifying tiny changes since it gives a single explanation for several variables.

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