Geodesic
Construction of a Steiner Streaming Network of the Second Optimality Rank
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 154 (2018), pp. 32-42

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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, computer design.
Mots-clés : dynamical decomposition 
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     author = {M. A. Bagov and V. Ch. Kudaev},
     title = {Construction of a {Steiner} {Streaming} {Network} of the {Second} {Optimality} {Rank}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {32--42},
     publisher = {mathdoc},
     volume = {154},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_154_a3/}
}
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M. A. Bagov; V. Ch. Kudaev. Construction of a Steiner Streaming Network of the Second Optimality Rank. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 154 (2018), pp. 32-42. http://geodesic.mathdoc.fr/item/INTO_2018_154_a3/