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Regularization of a lexicographic vector problem of integer programming
Authors:V. A. Emelichev  O. A. Yanushkevich
Affiliation:(1) Belarus State University, Minsk, Belarus;(2) Institute of Technical Cybernetics, Academy of Sciences of Belarus, Minsk, Belarus
Abstract:
A stability criterion for a vector integer linear problem of lexicographic optimization is obtained. A regularization method is proposed that allows us to reduce a possible unstable output problem to a sequence of perturbed stable equivalent problems. Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 125–130, November–December, 1999.
Keywords:stability radius  problem of integer linear programming  lexicographic optimization  perturbed stable problem
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