Geodesic
Building a steiner flow network
News of the Kabardin-Balkar scientific center of RAS, no. 6 (2021), pp. 185-203.

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The existing methods for the synthesis of optimal streaming networks are tuned for the design of terminal networks. An additional gain in the cost and operation of networks for the planned period provides the connection of the synthesis problem of the terminal streaming network and the Steiner streaming network.
Keywords: Steiner streaming network, streaming network, cost reduction, dense base graph, computer design. 
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M. A. Bagov. Building a steiner flow network. News of the Kabardin-Balkar scientific center of RAS, no. 6 (2021), pp. 185-203. http://geodesic.mathdoc.fr/item/IZKAB_2021_6_a7/

[1] V. Ch. Kudaev, M. B. Abazokov, “Computer design of stream networks of the P-rank of optimality”, News of the Kabardino-Balkarian Scientific Center of RAS, 2019, no. 6 (92), 122–131 (In Russian) | DOI | DOI

[2] M. A. Bagov, V. Ch. Kudaev, “Rank optimization of networks for the transfer of matter and energy”, III international conference on mathematical modeling. Abstracts of reports, SeveroVostochnyj federal'nyj universitet imeni M.K. Ammosova, Yakutsk, 2017, 183 (In Russian)

[3] E. N. Gilbert, G. O. Pollak, “Steiner minimal trees”, Cybernetic collection. New series, 1971, no. 8, 19–49, Mir, Moscow (In Russian)

[4] E. N. Gordeev, O. G. Tarastsov, “Steiner's problem. Review”, Discrete Mathematics, 5:2 (1993), 3–28 (In Russian) | Zbl

[5] Z. A. Melzak, “On the problem of Steiner”, Canad. Math. Bull, 4 (1961), 143–148 | DOI | MR | Zbl

[6] Panyukov A.V., “Topological methods for solving the Steiner problem on a graph”, Automation and telemechanics, 2004, no. 3, 89–99 (In Russian) | Zbl

[7] B. Korte, H. J. Promel, A. Steger, Steiner trees in VLSI-layout, Rep. 89566-OR, Inst fur Okon. und Op. Res. Rheinische, Fr. Wil. Univ. Bonn, 1989

[8] D. T. Lotarev, “Steiner's problem for a transport network on a surface presented by a digital model”, Automation and telemechanics, 10 (1980), 104–115 (In Russian) | MR | Zbl

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

[10] M. A. Bagov, V. Ch. Kudaev, “Local solution of the Steiner network problem”, Reports of the Adyge (Circassian) Academy of Sciences, 16:4 (2014), 9–14 (In Russian)

[11] M. A. Bagov, V. Ch. Kudaev, “Transformation of the terminal network into the Steiner network”, News of the Kabardino-Balkarian Scientific Center of RAS, 2015, no. 6 (68), 31–37 (In Russian)

[12] M. A. Bagov, V. Ch. Kudaev, “Mathematical modeling and optimization of the Steiner pipeline network”, News of the Kabardino-Balkarian Scientific Center of RAS, 2017, no. 1 (75), 5–11 (In Russian)

[13] M. A. Bagov, V. Ch. Kudaev, “Steiner's network problem taking into account energy costs”, Bulletin of Kamchatka Regional Association Scientific-Educational Center (KRASEC). Phys. mat. Science, 2016, no. 4-1(16), 85–92 (In Russian) | MR | Zbl

[14] M. A. Bagov, V. Ch. Kudaev, “Construction of Steiner Streaming Network of the Second Optimality Rank”, Results of Science and Technics. Contemporary mathematics and its applications. Thematic reviews, 154 (2018), 32–42 (In Russian) | MR

[15] M. A. Bagov, “Nonlocal solution of the Steiner network problem”, Bulletin of Kamchatka Regional Association Scientific-Educational Center (KRASEC). Phys. mat. Science, 2018, no. 1 (12), 148–157 (In Russian) | DOI | DOI | MR

[16] N. N. Abramov, Calculation of water supply networks, Stroyizdat, Moscow, 1983, 275 pp. (In Russian)

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

[18] M. A. Bagov, L. V. Skorikova, “Algorithm for constructing the base graph of the synthesis problem for an optimal streaming network”, Bulletin of Kamchatka Regional Association Scientific-Educational Center (KRASEC). Phys. mat. Science, 2018, no. 4 (24), 158–165 (In Russian) | MR

[19] V. Ch. Kudaev, “Ranges 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