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This article is cited in 19 scientific papers (total in 19 papers)
On the quasistability of trajectory problems of vector optimization
V. A. Emelichev, M. K. Kravtsov, D. P. Podkopaev Belarusian State University
Abstract:
We consider quasistable multicriteria problems of discrete optimization on systems of subsets (trajectory problems). We single out the class of problems for which new Pareto optima can appear, while other optima for the problems do not disappear when the coefficients of the objective functions are slightly perturbed (in the Chebyshev metric). For the case of linear criteria (MINSUM), we obtain a formula for calculating the quasistability radius of the problem.
Received: 26.08.1994 Revised: 29.07.1997
Citation:
V. A. Emelichev, M. K. Kravtsov, D. P. Podkopaev, “On the quasistability of trajectory problems of vector optimization”, Mat. Zametki, 63:1 (1998), 21–27; Math. Notes, 63:1 (1998), 19–24
Linking options:
https://www.mathnet.ru/eng/mzm1244https://doi.org/10.4213/mzm1244 https://www.mathnet.ru/eng/mzm/v63/i1/p21
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Abstract page: | 391 | Full-text PDF : | 203 | References: | 53 | First page: | 3 |
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