Process Monitoring for Gamma Distributed Product under Neutrosophic Statistics Using Resampling Scheme
In this article, a repetitive sampling control chart for the gamma distribution under the indeterminate environment has been presented. The control chart coefficients, probability of in-control, probability of out-of-control, and average run lengths have been determined under the assumption of the s...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6635846 |
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| _version_ | 1832550859797430272 |
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| author | Abdullah M. Almarashi Muhammad Aslam |
| author_facet | Abdullah M. Almarashi Muhammad Aslam |
| author_sort | Abdullah M. Almarashi |
| collection | DOAJ |
| description | In this article, a repetitive sampling control chart for the gamma distribution under the indeterminate environment has been presented. The control chart coefficients, probability of in-control, probability of out-of-control, and average run lengths have been determined under the assumption of the symmetrical property of the normal distribution using the neutrosophic interval method. The performance of the designed chart has been evaluated using the average run length measurements under different process settings for an indeterminate environment. In-control and out-of-control nature of the proposed chart under different levels of shifts have been described. The comparison of the proposed chart has been made with the existing chart. A real-world example from the healthcare department has been included for the practical application of the proposed chart. It has been observed from the simulation study and real example that the proposed control chart is efficient in quick monitoring of the out-of-control process. It can be concluded that the proposed control chart can be applied effectively in uncertainty. |
| format | Article |
| id | doaj-art-bd84b2cf4ec04c34bc59814384b60186 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-bd84b2cf4ec04c34bc59814384b601862025-02-03T06:05:45ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66358466635846Process Monitoring for Gamma Distributed Product under Neutrosophic Statistics Using Resampling SchemeAbdullah M. Almarashi0Muhammad Aslam1Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaDepartment of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaIn this article, a repetitive sampling control chart for the gamma distribution under the indeterminate environment has been presented. The control chart coefficients, probability of in-control, probability of out-of-control, and average run lengths have been determined under the assumption of the symmetrical property of the normal distribution using the neutrosophic interval method. The performance of the designed chart has been evaluated using the average run length measurements under different process settings for an indeterminate environment. In-control and out-of-control nature of the proposed chart under different levels of shifts have been described. The comparison of the proposed chart has been made with the existing chart. A real-world example from the healthcare department has been included for the practical application of the proposed chart. It has been observed from the simulation study and real example that the proposed control chart is efficient in quick monitoring of the out-of-control process. It can be concluded that the proposed control chart can be applied effectively in uncertainty.http://dx.doi.org/10.1155/2021/6635846 |
| spellingShingle | Abdullah M. Almarashi Muhammad Aslam Process Monitoring for Gamma Distributed Product under Neutrosophic Statistics Using Resampling Scheme Journal of Mathematics |
| title | Process Monitoring for Gamma Distributed Product under Neutrosophic Statistics Using Resampling Scheme |
| title_full | Process Monitoring for Gamma Distributed Product under Neutrosophic Statistics Using Resampling Scheme |
| title_fullStr | Process Monitoring for Gamma Distributed Product under Neutrosophic Statistics Using Resampling Scheme |
| title_full_unstemmed | Process Monitoring for Gamma Distributed Product under Neutrosophic Statistics Using Resampling Scheme |
| title_short | Process Monitoring for Gamma Distributed Product under Neutrosophic Statistics Using Resampling Scheme |
| title_sort | process monitoring for gamma distributed product under neutrosophic statistics using resampling scheme |
| url | http://dx.doi.org/10.1155/2021/6635846 |
| work_keys_str_mv | AT abdullahmalmarashi processmonitoringforgammadistributedproductunderneutrosophicstatisticsusingresamplingscheme AT muhammadaslam processmonitoringforgammadistributedproductunderneutrosophicstatisticsusingresamplingscheme |