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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 3(28), Pages 114–124
DOI: https://doi.org/10.14498/vsgtu1105 (Mi vsgtu1105) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical Modeling

A queuing system with distinct devices as the finite state machine

A. P. Kotenko, M. B. Bukarenko

Samara State Technical University, Samara, Russia
Full-text PDF (225 kB) Citations (4)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1105
Abstract: Queuing systems with distinct channels are considered. Channels may have different capacities (from each other) and distinct queues. The term “dispatch control” is introduced to optimize the system, considering the average time of service and failure probability minimization. These systems are treated as deterministic or nondeterministic finite state machines. State equations of these systems in the form of Zhegalkin polynomial are derived.
Keywords: queuing system, finite state machine, distinct channels, dispatch control.
Original article submitted 06/VII/2012
revision submitted – 22/VIII/2012
Bibliographic databases:
Document Type: Article
UDC: 519.248, 519.713.2
MSC: Primary 60K25; Secondary 90B22, 68M20
Language: Russian
Citation: A. P. Kotenko, M. B. Bukarenko, “A queuing system with distinct devices as the finite state machine”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(28) (2012), 114–124
Citation in format AMSBIB
\Bibitem{KotBuk12}
\by A.~P.~Kotenko, M.~B.~Bukarenko
\paper A queuing system with distinct devices as the finite state machine
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 3(28)
\pages 114--124
\mathnet{http://mi.mathnet.ru/vsgtu1105}
\crossref{https://doi.org/10.14498/vsgtu1105}
\zmath{https://zbmath.org/?q=an:1326.60130}
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  • https://www.mathnet.ru/eng/vsgtu/v128/p114
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :397
    References:49
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