Geodesic
Stability aspects of multicriteria integer~linear~programming problems
Diskretnyj analiz i issledovanie operacij, Tome 26 (2019) no. 1, pp. 5-19

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Under consideration are the multicriteria integer linear programming problems with finitely many feasible solutions. The problem itself consists in finding a set of extremal solutions. We derive some lower and upper bounds for the $T_1$-stability radius under assumption that arbitrary Hölder norms are given in the solution and criteria spaces. A class of the problems with an infinitely large stability radius is specified. We also consider the case of the multicriteria linear Boolean problem. Bibliogr. 22.
Keywords: multicriteria ILP problem, set of extremal solutions, stability radius, $T_1$-stability, the Hölder norm. 
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S. E. Bukhtoyarov; V. A. Emelichev. Stability aspects of multicriteria integer~linear~programming problems. Diskretnyj analiz i issledovanie operacij, Tome 26 (2019) no. 1, pp. 5-19. http://geodesic.mathdoc.fr/item/DA_2019_26_1_a0/