Constructing the set of effective vectors by the method of $\varepsilon$ perturbations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 5, pp. 824-845
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
Multicriteria (vector) optimization is examined under assumptions that are conventional for the classical problem of constrained optimization. The method of $\varepsilon$ perturbations is used to construct a sequence of sets converging to a set that contains all the effective vectors and does not contain vectors distinct from weakly effective ones.
[1] Germeier Yu. B., Vvedenie v teoriyu issledovaniya operatsii, Nauka, M., 1971 | MR
[2] Rabinovich Ya. I., “Ob otyskanii slabo effektivnykh reshenii”, Zh. vychisl. matem. i matem. fiz., 44:4 (2004), 613–622 | MR | Zbl
[3] Sukharev A. G., Timokhov A. V., Fedorov V. V., Kurs metodov optimizatsii, Nauka, M., 1986 | MR | Zbl
[4] Zangvill U. I., Nelineinoe programmirovanie, Nauka, M., 1973
[5] Podinovskii V. V., Nogin V. D., Pareto-optimalnye resheniya mnogokriterialnykh zadach, Nauka, M., 1982 | MR
[6] Karmanov V. G., Matematicheskoe programmirovanie, Nauka, M., 1975 | MR | Zbl