Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2015, Issue 1, Pages 75–82 (Mi vspui230)  
This article is cited in 4 scientific papers (total in 4 papers)

Applied mathematics

Exact penalty functions in the problem of a queueing system

L. N. Polyakova, V. V. Karelin, V. M. Bure, G. M. Chitrow

St. Petersburg State University, 7/9, Universitetskaya embankment, St. Petersburg, 199034, Russian Federation
Full-text PDF (247 kB) Citations (4)
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Abstract: We consider a deterministic queueing system whose dynamics can be described by a system of ordinary differential equations. The queueing system contains one servicer with two queues 1 and 2. The speed of application reception depends on the number of queue and of the time. Speed of application processing by servicers can be selected from within predetermined limits and are considered control. Speeds of processing are considered control. The problem is to minimize total lengths of queues. The necessary and sufficient conditions are received in the problem of piecewise constant control. Bibliogr. 10.
Keywords: deterministic queuing system, piecewise constant control, the exact penalty functions.
Received: November 13, 2014
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: L. N. Polyakova, V. V. Karelin, V. M. Bure, G. M. Chitrow, “Exact penalty functions in the problem of a queueing system”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2015, no. 1, 75–82
Citation in format AMSBIB
\Bibitem{PolKarBur15}
\by L.~N.~Polyakova, V.~V.~Karelin, V.~M.~Bure, G.~M.~Chitrow
\paper Exact penalty functions in the problem of a queueing system
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2015
\issue 1
\pages 75--82
\mathnet{http://mi.mathnet.ru/vspui230}
\elib{https://elibrary.ru/item.asp?id=22988794}
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    • 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 Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    Abstract page:186
    Full-text PDF :35
    References:23
    First page:13
     
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