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This article is cited in 4 scientific papers (total in 4 papers)
Quasistability of a Vector Trajectory Majority Optimization Problem
V. A. Emelichev, Yu. v. Stepanishina Belarusian State University
Abstract:
We consider a multicriteria combinatorial problem with majority optimality principle whose particular criteria are of the form MINSUM, MINMAX, and MINMIN. We obtain a lower attainable bound for the radius of quasistability of such a problem in the case of the Chebyshev norm on the space of perturbing parameters of the vector criterion. We give sufficient conditions for the quasistability of the problem; these are also necessary in the case of linear special criteria.
Received: 29.03.2000
Citation:
V. A. Emelichev, Yu. v. Stepanishina, “Quasistability of a Vector Trajectory Majority Optimization Problem”, Mat. Zametki, 72:1 (2002), 38–47; Math. Notes, 72:1 (2002), 34–42
Linking options:
https://www.mathnet.ru/eng/mzm402https://doi.org/10.4213/mzm402 https://www.mathnet.ru/eng/mzm/v72/i1/p38
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Abstract page: | 419 | Full-text PDF : | 168 | References: | 56 | First page: | 3 |
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