Geodesic
Mathematical modeling and computer design for water distribution system
News of the Kabardin-Balkar scientific center of RAS, Tome 26 (2024) no. 6, pp. 98-114

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. A design of optimal hydraulic pipeline for regional and interregional water supply systems is highly relevant due to water scarcity in part of Russian regions. The article presents a method for transforming a network structure into a 2-optimal Kirchhoff–Steiner network, i.e. such a network that cannot be improved by any change in the structure and coordinates of Steiner points of any subnet consisting of 2-reachable points from any vertex in the graph. Algorithms and a software system for computer-aided design of a Kirchhoff–Steiner flow network for regional and interregional water supply and large irrigation systems have been developed. The computational experiments verified a high efficiency of the computer-aided approach proposed.
Keywords: branched pipeline water supply network, Kirchhoff-Steiner network, mathematical modeling and computer design, rank 2 optimization, objective function, pipeline costs, energy costs, pumping station
Mots-clés : transformation 
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     title = {Mathematical modeling and computer design for water distribution system},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
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M. A. Bagov. Mathematical modeling and computer design for water distribution system. News of the Kabardin-Balkar scientific center of RAS, Tome 26 (2024) no. 6, pp. 98-114. http://geodesic.mathdoc.fr/item/IZKAB_2024_26_6_a7/