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Journal of Automation and Information Sciences
SJR: 0.238 SNIP: 0.464 CiteScore™: 0.27

ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v46.i2.30
pages 27-41

Stability and Effective Algorithms for Solving Multiobjective Discrete Optimization Problems with Incomplete Information

Vladimir A. Emelichev
Byelorussian State University, Minsk
Vladimir M. Kotov
Byelorussian State University, Minsk
Kirill G. Kuzmin
Byelorussian State University, Minsk
Tatyana T. Lebedeva
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Natalya V. Semenova
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev
Tatyana I. Sergienko
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev

ABSTRACT

The stability problem of vector discrete optimization problems with different principles of optimality with respect to perturbations of all input data of the problem is investigated based on the obtained results on the stability kernel property and the subset of those feasible solutions which steadily do not belong to the optimum set. We present the review of the latest results concerning the estimations of stability radius of solutions of Boolean multicriteria problems with nonlinear criteria. For the problem with the known optimum value of the goal function there is constructed the algorithm with the best known guaranteed estimation. The described scheme applied group technologies and dynamic lower estimations for the optimum value of the objective functional which can be used in various versions of problems with incomplete information.