Estimates of the duality gap for optimum partition problems (Q2759373)
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scientific article; zbMATH DE number 1681783
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates of the duality gap for optimum partition problems |
scientific article; zbMATH DE number 1681783 |
Statements
12 December 2001
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duality gap
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optimum partition problems
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set
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subset
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Lagrange functional
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Estimates of the duality gap for optimum partition problems (English)
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Many practical problems of economics, engineering, physics and others are reduced to the continuous problems of the optimal partitioning of the sets to subsets with unknown coordinates of these subsets. In this paper for such a problem in \(n\)-dimensional Euclidean space the estimations for the duality gap are constructed under some limitations in the form of equalities and inequalities. The construction is based on minimization of the Lagrange functional.
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