Neutrosophic Sets and Systems
Abstract
This paper introduces an innovative control chart customized for the gamma distribution, specifically crafted to handle uncertain conditions through repetitive sampling. The control chart's coefficients, along with the probabilities of remaining in control or detecting a shift, and the average run lengths, were derived by assuming the symmetrical behavior typical of the normal distribution, using the neutrosophic interval method. The performance of this chart was evaluated by assessing average run lengths under various uncertain process conditions. The chart's efficacy in identifying both minor and major process shifts was investigated. This study also provides a comparison between the newly proposed chart and existing ones. To demonstrate its practical utility, an example from the healthcare sector is provided. Both simulation results and this practical example confirm that the new control chart is effective in swiftly identifying deviations in processes, making it a valuable tool for managing uncertainty.
Recommended Citation
Al-Husseini, Zainalabideen; Khudhayr A. Rashedi; and Muhammad Aslam. "Repetitive Sampling Control Chart for Gamma Distribution in Uncertain Environments." Neutrosophic Sets and Systems 77, 1 (2025). https://digitalrepository.unm.edu/nss_journal/vol77/iss1/7
