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Avtomatika i Telemekhanika, 2013, Issue 1, Pages 116–134 (Mi at4289)  
This article is cited in 6 scientific papers (total in 6 papers)

System Analysis and Operations Research

Multiindex transportation problems with $2$-embedded structure

L. G. Afraimovich

Nizhni Novgorod State University, Nizhni Novgorod, Russia
Full-text PDF (282 kB) Citations (6)
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Abstract: We consider multiindex transportation problems of linear and integer linear programming. As a method of solving them, we propose an approach based on reductions of multiindex transportation problems to min-flow problems. We show that under the reduction scheme we consider, the $2$-embeddability condition for multiindex problems is a necessary and sufficient condition for the problem to be reducible to a min-cost flow problem.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 21.09.2011
English version:
Automation and Remote Control, 2013, Volume 74, Issue 1, Pages 90–104
DOI: https://doi.org/10.1134/S0005117913010086
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. G. Afraimovich, “Multiindex transportation problems with $2$-embedded structure”, Avtomat. i Telemekh., 2013, no. 1, 116–134; Autom. Remote Control, 74:1 (2013), 90–104
Citation in format AMSBIB
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\by L.~G.~Afraimovich
\paper Multiindex transportation problems with $2$-embedded structure
\jour Avtomat. i Telemekh.
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\pages 116--134
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\jour Autom. Remote Control
\yr 2013
\vol 74
\issue 1
\pages 90--104
\crossref{https://doi.org/10.1134/S0005117913010086}
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  • https://www.mathnet.ru/eng/at/y2013/i1/p116
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :107
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