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Diskretnyi Analiz i Issledovanie Operatsii, 2017, Volume 24, Issue 4, Pages 77–94
DOI: https://doi.org/10.17377/daio.2017.24.562 (Mi da883) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The network equilibrium problem with mixed demand

O. V. Pinyagina

Kazan Federal University, 18 Kremlevskaya St., 420008 Kazan, Russia
Full-text PDF (346 kB) Citations (3)
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DOI: https://doi.org/10.17377/daio.2017.24.562
Abstract: We formulate the network equilibrium problem with mixed demand which generalizes the problems of network equilibrium with fixed and elastic demand.We prove the equilibrium conditions for this problem and propose some conditions of existence of a solution that are based on the coercivity property. We establish a connection between the problem of network equilibrium with mixed demand and the problem of auction equilibrium. The results of test calculations are presented for a model example. Illustr. 1, bibliogr. 15.
Keywords: network equilibrium problem, mixed demand, equilibrium conditions, auction equilibrium.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00109
Received: 11.01.2017
Revised: 03.03.2017
English version:
Journal of Applied and Industrial Mathematics, 2017, Volume 11, Issue 4, Pages 554–563
DOI: https://doi.org/10.1134/S1990478917040135
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: O. V. Pinyagina, “The network equilibrium problem with mixed demand”, Diskretn. Anal. Issled. Oper., 24:4 (2017), 77–94; J. Appl. Industr. Math., 11:4 (2017), 554–563
Citation in format AMSBIB
\Bibitem{Pin17}
\by O.~V.~Pinyagina
\paper The network equilibrium problem with mixed demand
\jour Diskretn. Anal. Issled. Oper.
\yr 2017
\vol 24
\issue 4
\pages 77--94
\mathnet{http://mi.mathnet.ru/da883}
\crossref{https://doi.org/10.17377/daio.2017.24.562}
\elib{https://elibrary.ru/item.asp?id=30551368}
\transl
\jour J. Appl. Industr. Math.
\yr 2017
\vol 11
\issue 4
\pages 554--563
\crossref{https://doi.org/10.1134/S1990478917040135}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85036477148}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Abstract page:170
    Full-text PDF :80
    References:30
    First page:6
     
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