### Ill-posed problems and multicriteria programming

**Published:**08.04.2015

**Authors:** Greshilov A.A.

**Published in issue: **#2(38)/2015

**DOI: **10.18698/2308-6033-2015-2-1367

**Category:** Aviation and Rocket-Space Engineering | **Chapter:** Innovation Technologies of Aerospace Engineering

Solving ill-posed problems by methods of multicriteria mathematical programming has been considered. Several methods of multicriteria mathematical programming (method of compression of acceptance region and goal programming) are used simultaneously allowing considering additional types of restrictions (nonnegativity of the solution, boundedness of solution) which must be met by evaluation of solution and which do not require definition of the regularization parameters necessary in the classical methods of regularization. When registering a small number of isotopes the merger of the two types of uranium-235 instant fission into one kind of division and two types of plutonium-239 fission into one kind of division is used. Simultaneously different variants of the nuclear explosion mechanism are considered. Determination of contributions of different fission kinds into the total activity of isotopes of krypton and xenon is performed by formation of a functional for a given moment of separation t_{q} and time measurements t of functions F_{l}.

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