Reverse convex programming approach in the space of extreme criteria for optimization over efficient sets (Q613601)

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scientific article; zbMATH DE number 5828754
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Reverse convex programming approach in the space of extreme criteria for optimization over efficient sets
scientific article; zbMATH DE number 5828754

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    Reverse convex programming approach in the space of extreme criteria for optimization over efficient sets (English)
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    21 December 2010
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    The author reformulates the optimization problem over the efficient set of a linear multiple criteria programming problem as a reverse convex programming problem in the space of extreme criteria. This is achieved by characterization of the efficient set as a reverse convex constraint defined in the space of extreme criteria. A conical branch and bound based algorithm is constructed and some preliminary computational results are reported.
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    reverse convex programs
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    global optimization
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    multiple criteria optimization
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    optimization over the efficient set
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    space of extreme criteria
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    branch and bound methods
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