Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 154, Pages 32–42 (Mi into375)  
This article is cited in 2 scientific papers (total in 2 papers)

Construction of a Steiner Streaming Network of the Second Optimality Rank

M. A. Bagov, V. Ch. Kudaev

Institute of Applied Mathematics and Automation, Nalchik
Full-text PDF (457 kB) Citations (2)
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Abstract: Mathematical models and the method of rank optimization for Steiner streaming networks are presented. The method is based on the nonlocal minimum condition and the dynamical decomposition of the current Steiner network into intersecting subnetworks to be optimized that have equal dimensions. Numerical experiments are described that demonstrate the efficiency of the method in the design of distribution pipeline networks for water and gas supply.
Keywords: Steiner streaming network, mathematical modeling, rank optimization, dynamical decomposition, computer design.
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 253, Issue 4, Pages 488–499
DOI: https://doi.org/10.1007/s10958-021-05245-1
Bibliographic databases:
Document Type: Article
UDC: 519.85; 519.17
MSC: 65K05; 68R10
Language: Russian
Citation: M. A. Bagov, V. Ch. Kudaev, “Construction of a Steiner Streaming Network of the Second Optimality Rank”, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 154, VINITI, Moscow, 2018, 32–42; J. Math. Sci. (N. Y.), 253:4 (2021), 488–499
Citation in format AMSBIB
\Bibitem{BagKud18}
\by M.~A.~Bagov, V.~Ch.~Kudaev
\paper Construction of a Steiner Streaming Network of the Second Optimality Rank
\inbook Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 154
\pages 32--42
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into375}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3904964}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2021
\vol 253
\issue 4
\pages 488--499
\crossref{https://doi.org/10.1007/s10958-021-05245-1}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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