A New Sine-Based Distributional Method with Symmetrical and Asymmetrical Natures: Control Chart with Industrial Implication

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dc.contributor.authorAlshanbari, Huda M.
dc.contributor.authorRao, Gadde Srinivasa
dc.contributor.authorSeong, Jin-Taek
dc.contributor.authorKhosa, Saima K.
dc.date.accessioned2024-08-19T08:31:28Z
dc.date.available2024-08-19T08:31:28Z
dc.date.issued2023
dc.descriptionAbstract. Full text available at: https://doi.org/10.3390/sym15101892
dc.description.abstractControl charts are widely used in quality control and industrial sectors. Because of their important role, researchers are focusing on the development of new control charts. According to our study, there is no significant amount of published work on control charts using trigonometrically generated distribution methods. In this paper, we contribute to this interesting research gap by developing a new control chart using a sine-based distributional method. The proposed distributional method (or family of probability distributions) may be called a new modified sine-G family of distributions. Based on the new modified sine-G method, a novel modification of the Weibull distribution, namely, a new modified sine-Weibull distribution, is introduced. The new modified sine-Weibull distribution is flexible enough to capture symmetrical and asymmetrical behaviors of its density function. An industrial application is considered to show the importance and implacability of the proposed distribution in quality control. Based on the proposed model, an attribute control chart is developed under a truncated life test. The control chart limits (ARLs) are also computed for the proposed model. The ARLs of the proposed control chart are compared with the attribute control chart of the Weibull distribution. The results show that the developed chart is more efficient than the existing attribute control chart for the Weibull distribution.
dc.identifier.citationAlshanbari, H. M., Rao, G. S., Seong, J. T., & Khosa, S. K. (2023). A new sine-based distributional method with symmetrical and asymmetrical natures: Control chart with industrial implication. Symmetry, 15(10), 1892.
dc.identifier.doi10.3390/sym15101892
dc.identifier.otherDOI: https://doi.org/10.3390/sym15101892
dc.identifier.urihttps://repository.udom.ac.tz/handle/20.500.12661/4786
dc.language.isoen
dc.publisherMDPI AG
dc.relation.ispartofSymmetry
dc.subjectWeibull distribution
dc.subjectsymmetrical and asymmetrical natures
dc.subjectsine function
dc.subjectMonte Carlo simulation
dc.subjectcontrol chart
dc.subjectindustrial application
dc.titleA New Sine-Based Distributional Method with Symmetrical and Asymmetrical Natures: Control Chart with Industrial Implication
dc.typeArticle
oaire.citation.issue10
oaire.citation.volume15
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