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A bisection-extreme point search algorithm for optimizing over the efficient set in the linear dependence case - MaRDI portal

A bisection-extreme point search algorithm for optimizing over the efficient set in the linear dependence case (Q1207046)

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scientific article; zbMATH DE number 151889
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A bisection-extreme point search algorithm for optimizing over the efficient set in the linear dependence case
scientific article; zbMATH DE number 151889

    Statements

    A bisection-extreme point search algorithm for optimizing over the efficient set in the linear dependence case (English)
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    4 May 1993
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    The problem of maximizing a linear function on the set of efficient points of a linear vector maximization problem is investigated. It is assumed that the objective function of this problem is a linear combination of the objective functions on the linear vector maximization problem. A so-called bisection-extreme point search algorithm is presented for the solution of this problem. It is proved that this method finds a solution in a finite number of iterations.
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    linear vector maximization
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    bisection-extreme point search algorithm
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