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Upravlenie Bol'shimi Sistemami, 2014, Issue 49, Pages 129–147 (Mi ubs763)  
This article is cited in 15 scientific papers (total in 15 papers)

Competitive routing of traffic navigation systems

V. V. Zakharov, A. Yu. Krylatov

Institute of Transportation Problems of RAS, Saint-Petersburg State University
Full-text PDF (232 kB) Citations (15)
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URL: https://ubs.mtas.ru/upload/library/UBS4905.pdf
Abstract: We study a game-theoretic model of traffic flow assignment with multiple customer groups and a BPR-delay function on a network of parallel links. We prove existence of a unique Nash equilibrium in the game of m > 2 traffic navigation systems and provide closed-form expressions for equilibrium strategies. Finally, we show that under navigation systems’ competitions the average travel time between origin-destination areas increases.
Keywords: competitive routing, Nash equilibrium, traffic flow assignment.
English version:
Automation and Remote Control, 2016, Volume 77, Issue 1, Pages 179–189
DOI: https://doi.org/10.1134/S0005117916010112
Bibliographic databases:
Document Type: Article
UDC: 656.02 + 51-74
BBC: 22.18
Language: Russian
Citation: V. V. Zakharov, A. Yu. Krylatov, “Competitive routing of traffic navigation systems”, UBS, 49 (2014), 129–147; Autom. Remote Control, 77:1 (2016), 179–189
Citation in format AMSBIB
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\by V.~V.~Zakharov, A.~Yu.~Krylatov
\paper Competitive routing of traffic navigation systems
\jour UBS
\yr 2014
\vol 49
\pages 129--147
\mathnet{http://mi.mathnet.ru/ubs763}
\transl
\jour Autom. Remote Control
\yr 2016
\vol 77
\issue 1
\pages 179--189
\crossref{https://doi.org/10.1134/S0005117916010112}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000370332800011}
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  • https://www.mathnet.ru/eng/ubs763
  • https://www.mathnet.ru/eng/ubs/v49/p129
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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