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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2012, Volume 4, Issue 2, Pages 39–56 (Mi mgta80)  
This article is cited in 14 scientific papers (total in 14 papers)

Stable cooperation in dynamic VRP

Victor V. Zakharov, Alexander N. Shchegryaev

St. Petersburg University, Faculty of Applied Mathematics and Control Processes
Full-text PDF (414 kB) Citations (14)
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Abstract: In the paper the problem of carriers transportation cost in the cooperative vehicle routing problem (VRP) on large-scale networks is treated. A heuristic method for calculation subadditive characteristic function in the TU-cooperative dynamic VRP game is proposed. The algorithm is updated for the dynamic cooperative VRP game. Shapley value and the subcore concept is used to form an optimal solution. A cost distribution procedure which provides strong time consistency of the subcore and the dynamic stability of cooperation agreement is developed and demonstrated.
English version:
Automation and Remote Control, 2015, Volume 76, Issue 5, Pages 935–943
DOI: https://doi.org/10.1134/S0005117915050173
Bibliographic databases:
Document Type: Article
UDC: 519.837
BBC: 22.18
Language: Russian
Citation: Victor V. Zakharov, Alexander N. Shchegryaev, “Stable cooperation in dynamic VRP”, Mat. Teor. Igr Pril., 4:2 (2012), 39–56; Autom. Remote Control, 76:5 (2015), 935–943
Citation in format AMSBIB
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\by Victor~V.~Zakharov, Alexander~N.~Shchegryaev
\paper Stable cooperation in dynamic VRP
\jour Mat. Teor. Igr Pril.
\yr 2012
\vol 4
\issue 2
\pages 39--56
\mathnet{http://mi.mathnet.ru/mgta80}
\transl
\jour Autom. Remote Control
\yr 2015
\vol 76
\issue 5
\pages 935--943
\crossref{https://doi.org/10.1134/S0005117915050173}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000354190700017}
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  • https://www.mathnet.ru/eng/mgta/v4/i2/p39
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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