Computing The Performance Parameters of A Fuzzy Markovian Queueing System Fm/Fm/1 In Transient Regime By The Flexible Alpha-Cuts Method
This scientific article sets out to solve the following fundamental problem to calculate the performance parameters of the FM/FM/1 queuing system in transient state. To resolve this problem the fuzzy arithmetic of cuts and intervals was used in transient state (TS). To achieve the expected results...
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| Format: | Article |
| Language: | English |
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Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Perlis
2023-02-01
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| Series: | Journal of Computing Research and Innovation |
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| Online Access: | https://crinn.conferencehunter.com/index.php/jcrinn/article/view/347 |
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| author | Jean Alonge w'Omatete Rostin Mabela Makengo Matendo Daniel Lama Okenge Claude Mfumu Mbikudi Bopatriciat Boluma Mangata |
| author_facet | Jean Alonge w'Omatete Rostin Mabela Makengo Matendo Daniel Lama Okenge Claude Mfumu Mbikudi Bopatriciat Boluma Mangata |
| author_sort | Jean Alonge w'Omatete |
| collection | DOAJ |
| description |
This scientific article sets out to solve the following fundamental problem to calculate the performance parameters of the FM/FM/1 queuing system in transient state. To resolve this problem the fuzzy arithmetic of cuts and intervals was used in transient state (TS). To achieve the expected results of our work, we used the analytical method with its different stages which are : selecting textual or visual documents ( books, articles, conferences, seminars,... with or without internet); read and analyze the content of these documents; record selected documents related to our research topic; interpret during the reading and the classification, the data obtained. This method helped us to identify the appropriate mathematical approach to evolve the performance of the queuing system under study. This is precisely the relaxed a-cuts and intervals. To illustrate this approach, a numerical example is given in the sixth section. The membership function enabled us to represent the graphs of the performance parameters of the FM/FM/1 queuing system in the three-dimensional space in the transient regime in a fuzzy environment.
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| first_indexed | 2024-04-09T14:39:00Z |
| format | Article |
| id | doaj.art-58dea36537fa4a5f9fc25215e49952f1 |
| institution | Directory Open Access Journal |
| issn | 2600-8793 |
| language | English |
| last_indexed | 2024-04-09T14:39:00Z |
| publishDate | 2023-02-01 |
| publisher | Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA Perlis |
| record_format | Article |
| series | Journal of Computing Research and Innovation |
| spelling | doaj.art-58dea36537fa4a5f9fc25215e49952f12023-05-03T10:36:18ZengFaculty of Computer and Mathematical Sciences, Universiti Teknologi MARA PerlisJournal of Computing Research and Innovation2600-87932023-02-018110.24191/jcrinn.v8i1.347347Computing The Performance Parameters of A Fuzzy Markovian Queueing System Fm/Fm/1 In Transient Regime By The Flexible Alpha-Cuts MethodJean Alonge w'Omatete0Rostin Mabela Makengo Matendo1Daniel Lama Okenge2Claude Mfumu Mbikudi3Bopatriciat Boluma Mangata4Department of Mathematics and Physics, Higher Pedagogical Institute of Wembo Nyama , D.R.CongoFaculty of Science and Technology, University of Kinshasa, Kinshasa, D.R.CongoDepartment of Mathematics and Physics Pedagogical Institute of Kindu, D.R.CongoKimwenza High School in Kinshasa, D.R.CongoUniversity of Kinshasa This scientific article sets out to solve the following fundamental problem to calculate the performance parameters of the FM/FM/1 queuing system in transient state. To resolve this problem the fuzzy arithmetic of cuts and intervals was used in transient state (TS). To achieve the expected results of our work, we used the analytical method with its different stages which are : selecting textual or visual documents ( books, articles, conferences, seminars,... with or without internet); read and analyze the content of these documents; record selected documents related to our research topic; interpret during the reading and the classification, the data obtained. This method helped us to identify the appropriate mathematical approach to evolve the performance of the queuing system under study. This is precisely the relaxed a-cuts and intervals. To illustrate this approach, a numerical example is given in the sixth section. The membership function enabled us to represent the graphs of the performance parameters of the FM/FM/1 queuing system in the three-dimensional space in the transient regime in a fuzzy environment. https://crinn.conferencehunter.com/index.php/jcrinn/article/view/347Performance parametersfuzzy markovian queuing systemflexible α-cuts methodZadeh's extension principleα-cuts intervals arithmetic |
| spellingShingle | Jean Alonge w'Omatete Rostin Mabela Makengo Matendo Daniel Lama Okenge Claude Mfumu Mbikudi Bopatriciat Boluma Mangata Computing The Performance Parameters of A Fuzzy Markovian Queueing System Fm/Fm/1 In Transient Regime By The Flexible Alpha-Cuts Method Journal of Computing Research and Innovation Performance parameters fuzzy markovian queuing system flexible α-cuts method Zadeh's extension principle α-cuts intervals arithmetic |
| title | Computing The Performance Parameters of A Fuzzy Markovian Queueing System Fm/Fm/1 In Transient Regime By The Flexible Alpha-Cuts Method |
| title_full | Computing The Performance Parameters of A Fuzzy Markovian Queueing System Fm/Fm/1 In Transient Regime By The Flexible Alpha-Cuts Method |
| title_fullStr | Computing The Performance Parameters of A Fuzzy Markovian Queueing System Fm/Fm/1 In Transient Regime By The Flexible Alpha-Cuts Method |
| title_full_unstemmed | Computing The Performance Parameters of A Fuzzy Markovian Queueing System Fm/Fm/1 In Transient Regime By The Flexible Alpha-Cuts Method |
| title_short | Computing The Performance Parameters of A Fuzzy Markovian Queueing System Fm/Fm/1 In Transient Regime By The Flexible Alpha-Cuts Method |
| title_sort | computing the performance parameters of a fuzzy markovian queueing system fm fm 1 in transient regime by the flexible alpha cuts method |
| topic | Performance parameters fuzzy markovian queuing system flexible α-cuts method Zadeh's extension principle α-cuts intervals arithmetic |
| url | https://crinn.conferencehunter.com/index.php/jcrinn/article/view/347 |
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