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Unconditional discrete optimization of linear-fractional function “-1”-order

Nilufar NiyozmatovaTashkent University Information Technologies named after Al-Kharezmi, Tashkent, UzbekistanNarzillo MamatovNamangan State University, Namangan, UzbekistanAbdurashid SamijonovTashkent University Information Technologies named after Al-Kharezmi, Tashkent, UzbekistanNaibakhon MamadalievaUzbekistan National University of Uzbekistan named after Mirzo UlugbekB. M. AbdullayevaNamangan State University, Namangan, Uzbekistan
ABI

Аннотация

Abstract The solution of many applied problems is reduced to solving optimization problems with the objective function of a linear-fractional functional of “-1” order. For example, economic tasks, tasks of placing objects, tasks about assignments, layout, production planning, an informative description of objects, medical tasks, etc. The article developed a new method for solving the unconditional optimization problem with the objective function of the discrete-fractional-linear functional of the “-1” order. As well as certain optimality conditions for the chosen solution, a theorem is formed and proved, which is the basis of the proposed method.

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