| Title of paper:
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Generalized net models of queueing disciplines in finite buffer queueing systems with intuitionistic fuzzy evaluations of the tasks
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| Author(s):
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| Zhivko Tomov
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| “Prof. Dr Asen Zlatarov” University, 1 Yakimov Blvd., Burgas 8000, Bulgaria
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| zhivko57@yandex.ru
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| Maciej Krawczak
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| Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01–447 Warsaw, Poland
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| krawczak@ibspan.waw.pl
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| Velin Andonov
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| Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., bl 8, Sofia 1113, Bulgaria
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| velin_andonov@math.bas.bg
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| Krassimir Atanassov
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Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria
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| krat@bas.bg
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| Stanislav Simeonov
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| “Prof. Dr Asen Zlatarov” University, 1 Yakimov Blvd., Burgas 8000, Bulgaria
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| st_sim@yahoo.com
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 2, pages 115–122
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| DOI:
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https://doi.org/10.7546/nifs.2019.25.2.115-122
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| Download:
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 PDF (178 Kb, File info)
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| Abstract:
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Generalized net models of different queueing disciplines in queueing systems are proposed in [11]. In the present paper, we propose modifications of these models including
Intuitionistic Fuzzy Pairs (IFP) and Interval-Valued Intuitionistic Fuzzy Pairs (IVIFP) which determine the way in which the requests are serviced. In each of the models, the buffer has
finite capacity and is represented by two Generalized net transitions. The buffer cells are represented by places of the net. The two simple queueing disciplines considered are FIFO and LIFO.
A more general model with IFP (or IVIFP) in which the requests can change their parameters and position within the buffer is also proposed.
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| Keywords:
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Generalized net, Queueing system, Queueing discipline, Intuitionistic fuzzy pair.
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| AMS Classification:
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68Q85, 03E72.
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| References:
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