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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 154, Pages 32–42
(Mi into375)
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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
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.
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
Linking options:
https://www.mathnet.ru/eng/into375 https://www.mathnet.ru/eng/into/v154/p32
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Abstract page: | 117 | Full-text PDF : | 97 | References: | 25 |
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