Structure and weak sharp minimum of the Pareto solution set for piecewise linear multiobjective optimization

Structure and weak sharp minimum of the Pareto solution set for piecewise linear multiobjective optimization

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Article ID: iaor20106400
Volume: 147
Issue: 1
Start Page Number: 113
End Page Number: 124
Publication Date: Oct 2010
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: pareto-optimality
Abstract:

In this paper, the Pareto solution set of a piecewise linear multiobjective optimization problem in a normed space is shown to be the union of finitely many semiclosed polyhedra. If the problem is further assumed to be cone-convex, then it has the global weak sharp minimum property.

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