Concave extensions for nonlinear 0-1 maximization problems (Q689146)
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scientific article; zbMATH DE number 440087
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Concave extensions for nonlinear 0-1 maximization problems |
scientific article; zbMATH DE number 440087 |
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Concave extensions for nonlinear 0-1 maximization problems (English)
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26 September 1994
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The problem considered is one of maximizing a real-valued function over the binary hypercube. The main result gives the necessary and sufficient conditions for a suitably defined LP relaxation to solve the original problem. The conditions are connected with the integrality of the corresponding polytope.
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nonlinear 0-1 optimization
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concave extension
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concave envelope
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linearization
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integral polyhedron
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balanced matrix
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binary hypercube
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LP relaxation
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0.8987926
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0.8946408
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0.8940958
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0.8940725
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