Geodesic
Ranks of extrema and structural optimization
News of the Kabardin-Balkar scientific center of RAS, no. 4 (2016), pp. 15-24.

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The concept of a rank of non-local extremum of a multiextreme task of mathematical programming is presented. For tasks of optimization of structure and parameters of network systems the condition of a rank extremum in which the interrelation between an extremum rank, its non locality and size of subgraphs of network which optimization is necessary for acquiring an extremum of the set rank is provided. The computing experiment which showed efficiency of a method when designing networks of the 2nd rank of an optimality is made.
Keywords: big system, structural optimization, ranks of extrema, rank optimization.
Mots-clés : multiextremeness 
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V. Ch. Kudaev. Ranks of extrema and structural optimization. News of the Kabardin-Balkar scientific center of RAS, no. 4 (2016), pp. 15-24. http://geodesic.mathdoc.fr/item/IZKAB_2016_4_a2/

[1] I. A. Vatel, A. F. Kononenko, “Ob odnoi chislennoi skheme resheniya zadachi optimalnogo upravleniya”, ZhVMiMF, 1970, no. 1 | Zbl

[2] V. P. Bulatov, L. I. Kassinskaya, “Nekotorye metody minimizatsii vognutoi funktsii na vypuklom mnogogrannike”, Metody optimizatsii i ikh prilozheniya, 1987, 151–172, SEI SO AN SSSR, Irkutsk

[3] V. P. Bulatov, Metody pogruzheniya v zadachakh optimizatsii, Nauka. SO AN SSSR, Novosibirsk, 1977, 161 pp.

[4] V. A. Trubin, Svoistva i metody resheniya zadach optimalnogo sinteza setei, ObschestvovoZnanie, USSR, Kiev, 1982, 23 pp.

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

[6] “X. Tui”, Vognutoe programmirovanie pri lineinykh ogranicheniyakh, 159:1 (1964), 32–35 | Zbl

[7] O. A. Nekrasova, V. Ya. Khasilev, “Optimalnoe derevo truboprovodnoi sistemy”, Ekonomika i matematicheskie metody, 4:3 (1970), 427–432

[8] A. P. Merenkov, E. V. Sennova, S. V. Sumarokov i dr, Matematicheskoe modelirovanie i optimizatsiya sistem teplo-, vodo-, nefte- i gazosnabzheniya, Nauka, Novosibirsk, 1992, 407 pp.