Geodesic
Computer design method of branched pipeline hydraulic networks with an optimal number of Steiner points
News of the Kabardin-Balkar scientific center of RAS, no. 6 (2023), pp. 55-64 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method and algorithm for constructing flow hydraulic networks with an optimal number of Steiner points have been developed. The method consists of sequential removal of Steiner points and subsequent optimization of the coordinates of effective Steiner points. The computer system was created for the design of large distribution pipeline networks for regional and interregional water supply.
Keywords: stream network, Steiner points, quantity and coordinate optimization. 
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M. A. Bagov. Computer design method of branched pipeline hydraulic networks with an optimal number of Steiner points. News of the Kabardin-Balkar scientific center of RAS, no. 6 (2023), pp. 55-64. http://geodesic.mathdoc.fr/item/IZKAB_2023_6_a4/

[1] V. Ch. Kudaev, “Ranks of extrema and structural optimization of large network systems”, News of the Kabardino-Balkarian Scientific Center of RAS, 2016, no. 4 (72), 15–24 (In Russian) | MR

[2] V. Ch. Kudaev, M. A. Bagov, “Construction of a Steiner stream network of the 2nd rank of optimality”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz, 253 (2021), 488–499 (In Russian) | MR

[3] M. B. Abazokov, M. A. Bagov, V. Ch. Kudaev, “Computer design of large pipeline networks of high optimality rank”, Reports of AMAN, 22:4 (2022), 39–56 (In Russian) | DOI

[4] A. P. Merenkov, E. V. Sennova, S. V. Sumarokov et al, Mathematical modeling and optimization of heat, water, oil and gas supply systems, Nauka, Novosibirsk, 1992, 407 pp. (In Russian)

[5] N. N. Abramov, M. M. Pospelova, M. A. Somov, V. N. Varapaev, D. Kh. Kerimova, Calculation of water supply networks, Stroyizdat, Moscow, 1983, 278 pp. (In Russian)

[6] E. N. Gilbert, G. O. Pollak, “Minimal Steiner trees”, Cybernetic collection. New series, 8 (1971), 19–49 (In Russian)

[7] E. N. Gilbert, “Minimal Cost Communication Networks”, Bell System technological Journal, 1967, no. 9, 48–50