Involving the Helly number in Pareto reducibility

Involving the Helly number in Pareto reducibility

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Article ID: iaor20091404
Country: Netherlands
Volume: 36
Issue: 2
Start Page Number: 173
End Page Number: 176
Publication Date: Mar 2008
Journal: Operations Research Letters
Authors:
Abstract:

The principal aim of this paper is to show that every weakly efficient solution of a lexicographic quasiconvex multicriteria optimization problem actually is an efficient (Pareto) solution of a reduced problem, obtained from the original one by selecting a certain number of criteria, not exceeding the Helly number of the solution space.

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