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Registration Number

0222U003336, 0117U002494 , R & D reports

Title

To eleborite new mathematical models and methods for the creation of computer technologies of the solution complex tasks of applied mathematies.

Head

Sergienko Ivan V., д.ф.-м.н.

Registration Date

07-03-2022

Organization

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

Description

 Mathematical models and methods of discrete and nonsmooth optimization, bioinformatics have been developed for the creation of computer technologies for solving complex problems of applied mathematics. Methods and software for solving large-scale Boolean linear programming problems have been developed. In particular, a global equilibrium search algorithm is proposed for the problem of minimum set coverage, and random local search algorithms are proposed for the problem of the shortest coverage. The conditions for optimality and stability of solutions for vector problems of discrete optimization on valid sets with pseudoconvex constraint functions are established. The decomposition method for solving lexicographic problems of continuous and combinatorial optimization has been developed. Mathematical models, methods and software for finding and modernizing (restoring) capacity of fault-tolerant network arcs, multi-product flow planning and modernization of transport networks have been developed. Diagnostic method for recognizing inflammatory processes in the human brain, developed on the basis of Bayesian procedures. Compositions of algorithms for the problem of gene fragments recognition on the basis of probabilistic models have been developed.

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Vagis Oleksandra A.
Gupal Anatolii M.
Lebedeva Tatyana T.
Lykhovyd Oleksii P.
Rozchyn Valentyna O.
Semenova Nataliia V.
Stetsiuk Petro I.
Shylo Volodymyr P.