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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 4, Pages 270–289 (Mi timm443)  
This article is cited in 8 scientific papers (total in 8 papers)

Iteration method in the routing problem with internal losses

A. A. Chentsov, A. G. Chentsov, P. A. Chentsov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (645 kB) Citations (8)
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Abstract: The problem of a sequential traversal of sets is considered, which is complicated by the necessity of fulfilling (internal) tasks on the sets as well as by restrictions in the form of precedence conditions. It is assumed that the method of aggregating the losses is additive. For the appearing extremal problem with dependent variables, an equivalent transformation is built for the optimization problem on a Cartesian product. Based on this, an iteration method is constructed that uses a reconstructible model of the courier problem (a traveling salesman problem complicated by precedence conditions).
Keywords: route, path, precedence conditions.
Received: 10.03.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2010, Volume 269, Issue 1, Pages S48–S68
DOI: https://doi.org/10.1134/S0081543810060064
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. A. Chentsov, A. G. Chentsov, P. A. Chentsov, “Iteration method in the routing problem with internal losses”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 4, 2009, 270–289; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S48–S68
Citation in format AMSBIB
\Bibitem{CheCheChe09}
\by A.~A.~Chentsov, A.~G.~Chentsov, P.~A.~Chentsov
\paper Iteration method in the routing problem with internal losses
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 4
\pages 270--289
\mathnet{http://mi.mathnet.ru/timm443}
\elib{https://elibrary.ru/item.asp?id=12952772}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2010
\vol 269
\issue , suppl. 1
\pages S48--S68
\crossref{https://doi.org/10.1134/S0081543810060064}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962467093}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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