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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 6, Pages 64–81 (Mi ivm6946)  
This article is cited in 17 scientific papers (total in 17 papers)

An extremal constrained 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, Ekaterinburg, Russia
Full-text PDF (697 kB) Citations (17)
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Abstract: We consider the following problem: one has to visit a finite number of sets and perform certain work on each of them. The work is accompanied by certain (internal) losses. The movements from some set to another one are constrained and accompanied by external (aggregated additively) losses. We propose a “through” variant of the dynamic programming method, formulate an equivalent reconstruction problem, and develop an optimal algorithm based on an efficient dynamic programming method technique.
Keywords: dynamic programming, precedence conditions, reconstruction problem.
Received: 25.05.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 6, Pages 54–68
DOI: https://doi.org/10.3103/S1066369X10060071
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. A. Chentsov, A. G. Chentsov, P. A. Chentsov, “An extremal constrained routing problem with internal losses”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 6, 64–81; Russian Math. (Iz. VUZ), 54:6 (2010), 54–68
Citation in format AMSBIB
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\by A.~A.~Chentsov, A.~G.~Chentsov, P.~A.~Chentsov
\paper An extremal constrained routing problem with internal losses
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 6
\pages 64--81
\mathnet{http://mi.mathnet.ru/ivm6946}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2779423}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 6
\pages 54--68
\crossref{https://doi.org/10.3103/S1066369X10060071}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649563735}
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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