Computing The Performance Parameters of A Fuzzy Markovian Queueing System Fm/Fm/1 In Transient Regime By The Flexible Alpha-Cuts Method

Computing The Performance Parameters of A Fuzzy Markovian Queueing System Fm/Fm/1 In Transient Regime By The Flexible Alpha-Cuts Method


  • Jean Alonge w'Omatete Department of Mathematics and Physics, Higher Pedagogical Institute of Wembo Nyama , D.R.Congo
  • Rostin Mabela Makengo Matendo Faculty of Science and Technology, University of Kinshasa, Kinshasa, D.R.Congo
  • Daniel Lama Okenge Department of Mathematics and Physics Pedagogical Institute of Kindu, D.R.Congo
  • Claude Mfumu Mbikudi Kimwenza High School in Kinshasa, D.R.Congo
  • Bopatriciat Boluma Mangata University of Kinshasa



Performance parameters, fuzzy markovian queuing system, flexible α-cuts method, Zadeh's extension principle, α-cuts intervals arithmetic


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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How to Cite

Alonge w’Omatete, J., Mabela Makengo Matendo, R., Lama Okenge, D., Mfumu Mbikudi, C., & Boluma Mangata, B. (2023). 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, 8(1), 17–31.



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