Geodesic
The optimum flow network synthesis problem on a graph
News of the Kabardin-Balkar scientific center of RAS, no. 6-1 (2017), pp. 42-48.

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One of the important and unsolved problem is the problem of designing a basic flow network graph with connection between nodes with the subsequent design of the optimum flow network. This paper presents a design method for the basic (excess) flow network graph with connection between nodes. The method is based on the formalization of the engineering approach and optimization.
Keywords: base graph, flow network, design method, arc efficiency function, algorithm.
Mots-clés : model situations 
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V. Ch. Kudaev; L. V. Skorikova. The optimum flow network synthesis problem on a graph. News of the Kabardin-Balkar scientific center of RAS, no. 6-1 (2017), pp. 42-48. http://geodesic.mathdoc.fr/item/IZKAB_2017_6-1_a6/

[1] V. S. Mikhalevich, V. A. Trubin, N. Z. Shor, Optimizatsionnye zadachi proizvodstvenno-transportnogo planirovaniya, Nauka, M., 1986, 260 pp.

[2] A. P. Merenkov, E. V. Sennova, S. V. Sumarokov i dr, Matematicheskoe modelirovanie i optimizatsiya sistem teplo-, vodo-, nefte- i gazosnabzheniya, VO «Nauka», SO RAN, Novosibirsk, 1992, 406 pp.

[3] O. A. Nekrasova, V. Ya. Khasilev, “Optimalnoe derevo truboprovodnoi sistemy”, Ekonomika i matematicheskie metody, 4:3 (1970), 427–431

[4] S. V. Sumarokov, “Metod resheniya mnogoekstremalnoi setevoi zadachi”, Ekonomika i matematicheskie metody, 12:5 (1976), 1016–1018 | MR | Zbl

[5] V. Ch. Kudaev, “Metod dinamicheskoi dekompozitsii sinteza nelineinykh setevykh sistem”, Izvestiya KBNTs RAN, 2002, no. 1 (8), 18–27

[6] V. Ch. Kudaev, M. A. Bagov, “Rangi ekstremumov i strukturnaya optimizatsiya bolshikh setevykh sistem”, Izvestiya KBNTs RAN, 2016, no. 4 (72), 15–24 | MR