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Avtomatika i Telemekhanika, 2011, Issue 8, Pages 109–120 (Mi at2260)  
This article is cited in 9 scientific papers (total in 9 papers)

System Analysis and Operations Research

Three-index linear programs with nested structure

L. G. Afraimovich

Nizhni Novgorod State University, Nizhni Novgorod, Russia
Full-text PDF (234 kB) Citations (9)
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Abstract: This paper deals with solutions of multi-index linear programs of the transportation type. The approach based on the analysis of reducibility of multi-index transportation problems to flow algorithms is taken as the main technical tool. Sufficient conditions of reducibility are proposed, which are based on the notion of nesting for the set of problem constraints. It is shown that these conditions are necessary and sufficient for reducibility of three-index problems; otherwise, the well-know hypothesis on the non-equivalence of the classes P and NP is wrong.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 11.05.2010
English version:
Automation and Remote Control, 2011, Volume 72, Issue 8, Pages 1679–1689
DOI: https://doi.org/10.1134/S0005117911080066
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. G. Afraimovich, “Three-index linear programs with nested structure”, Avtomat. i Telemekh., 2011, no. 8, 109–120; Autom. Remote Control, 72:8 (2011), 1679–1689
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/at/y2011/i8/p109
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:40
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