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Talk · IOP Conference Series Materials Science and Engineering · May 1, 2020

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

Nilufar A’loxanovna Niyozmatova, Narzillo Mamatov, Abdurashid Samijonov, Naibakhon Mamadalieva, B. M. Abdullayeva

Abstract

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.

Optimization and Mathematical ProgrammingAdvanced Optimization Algorithms ResearchOptimization and Variational Analysislinear fractional functionsdiscrete optimizationoptimality conditions

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