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Qualitative Stability Analysis of Multicriteria Combinatorial Minimin Problems

Emelichev Vladimir, Karelkina Olga, Kuzmin Kirill, Qualitative Stability Analysis of Multicriteria Combinatorial Minimin Problems. CONTROL AND CYBERNETICS 1, 57–79, 2012.

Abstract:

A multicriteria combinatorial problem with minimin partial criteria is considered. Necessary and sufficient conditions for the five known stability types of the
problem are obtained. These stability types describe in different ways the behavior of
the Pareto and lexicographic sets of the problem under initial data perturbations of the
vector criteria.

BibTeX entry:

@ARTICLE{jEmKaKu12a,
  title = {Qualitative Stability Analysis of Multicriteria Combinatorial Minimin Problems},
  author = {Emelichev Vladimir and Karelkina Olga and Kuzmin Kirill},
  journal = {CONTROL AND CYBERNETICS},
  volume = {1},
  pages = {57–79},
  year = {2012},
  keywords = {combinatorial optimization, Pareto set, lexicographic set, stability},
}

Belongs to TUCS Research Unit(s): Turku Optimization Group (TOpGroup)

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