Different types of stability of vector integer optimization problem: General approach |
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Authors: | T. T. Lebedeva T. I. Sergienko |
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Affiliation: | (1) V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine |
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Abstract: | The paper relates the stability of a vector (multiobjective) integer optimization problem to the stability of optimal and nonoptimal solutions of this problem. It is shown that the analysis of several types of stability of the problem of searching for Pareto optimal solutions can be reduced to the analysis of two sets consisting of points that stably belong and do not stably belong to the Pareto set. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 142–148, May–June 2008. |
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Keywords: | multiobjective integer optimization stability with respect to a vector criterion and constraints perturbations of initial data |
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