@article{MZM_1997_62_4_a2,
author = {M. K. Kravtsov and O. A. Yanushkevich},
title = {Solvability of the vector problem by the linear criteria convolution algorithm},
journal = {Matemati\v{c}eskie zametki},
pages = {502--509},
year = {1997},
volume = {62},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1997_62_4_a2/}
}
M. K. Kravtsov; O. A. Yanushkevich. Solvability of the vector problem by the linear criteria convolution algorithm. Matematičeskie zametki, Tome 62 (1997) no. 4, pp. 502-509. http://geodesic.mathdoc.fr/item/MZM_1997_62_4_a2/
[1] Emelichev V. A., Kravtsov M. K., Yanushkevich O. A., “Leksikograficheskie optimumy mnogokriterialnoi zadachi diskretnoi optimizatsii”, Matem. zametki, 58:3 (1995), 365–371 | MR
[2] Geoffrion A. M., “Proper efficiency and the theory of vector maximization”, J. Math. Anal. Appl., 22 (1968), 618–630 | DOI | MR | Zbl
[3] Mikhalevich V. S., Volkovich V. L., Vychislitelnye metody issledovaniya i proektirovaniya slozhnykh sistem, Nauka, M., 1982 | Zbl
[4] Podinovskii V. V., Nogin V. D., Pareto-optimalnye resheniya mnogokriterialnykh zadach, Nauka, M., 1982 | Zbl
[5] Dubov Yu. A., Travkin S. I., Yakimets V. N., Mnogokriterialnye modeli formirovaniya i vybora variantov sistem, Nauka, M., 1986
[6] Burkard R. E., Keiding H., Krarup J., Pruzan P. M., “A relationship between optimality and efficiency in multicriteria 0–1 programming problems”, Comput. Oper. Res., 8:4 (1981), 241–247 | DOI
[7] Emelichev V. A., Perepelitsa V. A., “Slozhnost diskretnykh mnogokriterialnykh zadach”, Diskretnaya matem., 6:1 (1994), 3–33 | Zbl
[8] Emelichev V. A., Kravtsov M. K., “O nerazreshimosti vektornykh zadach diskretnoi optimizatsii na sistemakh podmnozhestv v klasse algoritmov lineinoi svertki kriteriev”, Dokl. RAN, 334:1 (1994), 9–11 | MR | Zbl
[9] Emelichev V. A., Kravtsov M. K., “O zadachakh vektornoi diskretnoi optimizatsii na sistemakh podmnozhestv, nerazreshimykh s pomoschyu algoritmov lineinoi svertki”, ZhVMiMF, 34:7 (1994), 1082–1094 | MR | Zbl
[10] Emelichev V. A., Kovalev M. M., Kravtsov M. K., Mnogogranniki, grafy, optimizatsiya, Nauka, M., 1981
[11] Gladkii A. A., Yanushkevich O. A., “O lineinoi svertke chastnykh kriteriev vektornoi zadachi minimizatsii”, IX Vserossiiskaya konferentsiya “Matematicheskoe programmirovanie i prilozheniya”, Tezisy dokladov, Ekaterinburg, 1995, 67
[12] Papadimitriu Kh., Staiglits K., Kombinatornaya optimizatsiya, algoritmy i slozhnost, Mir, M., 1985
[13] Emelichev V. A., Kravtsov M. K., “O kombinatornykh zadachakh vektornoi optimizatsii”, Diskretnaya matem., 7:1 (1995), 3–18 | MR | Zbl
[14] Leontev V. K., Gordeev E. N., “Kachestvennoe issledovanie traektornykh zadach”, Kibernetika, 1986, no. 5, 82–89 | MR | Zbl
[15] Yemelichev V. A., Kravtsov M. K., Yanushkevich O. A., “On solvability of vector problems on systems of subsets using a linear criteria convolution algorithm”, 2nd International Conference “Mathematical Algorithms”, Abstracts, Nizhny Novgorod, 1995, 21