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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 3, Pages 395–400 (Mi zvmmf497)  
Optimal location of interconnected facilities on tree networks subject to distance constraints

G. G. Zabudskii

Sobolev Institute of Mathematics, Omsk Branch, Siberian Division, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099, Russia
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Abstract: Optimal location of interconnected facilities on tree networks is considered in the case when some of the nodes of the network contain existing facilities. The distances between the facilities must satisfy maximum constraints. Polynomial algorithms for the solution of this problem are proposed.
Key words: tree networks, optimal location, polynomial algorithms.
Received: 13.05.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 3, Pages 376–381
DOI: https://doi.org/10.1134/S0965542506030043
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: G. G. Zabudskii, “Optimal location of interconnected facilities on tree networks subject to distance constraints”, Zh. Vychisl. Mat. Mat. Fiz., 46:3 (2006), 395–400; Comput. Math. Math. Phys., 46:3 (2006), 376–381
Citation in format AMSBIB
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\by G.~G.~Zabudskii
\paper Optimal location of interconnected facilities on tree networks subject to distance constraints
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 3
\pages 395--400
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2260296}
\zmath{https://zbmath.org/?q=an:1185.68056}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 3
\pages 376--381
\crossref{https://doi.org/10.1134/S0965542506030043}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746046330}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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