On Optimal Properties of Special Nonlinear and Semi-infinite Problems Arising in Parametric Optimization

We consider a special Nonlinear Programming problem depending on integer parameters. For some values of these parameters (the ``right'' ones), this problem satisfies certain properties used in study of differential properties of optimal solutions in parametric Semi-Infinite Programming. We...

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Bibliographic Details
Main Author: Kostyukova, Olga (author)
Other Authors: Tchemisova, Tatiana (author), Kurdina, Maryia (author)
Format: article
Language:eng
Published: 2017
Subjects:
Parametric Optimization
Semi-Infinite programming
Nonlinear Programming
Online Access:http://hdl.handle.net/10773/18241
Country:Portugal
Oai:oai:ria.ua.pt:10773/18241
Description
Summary:We consider a special Nonlinear Programming problem depending on integer parameters. For some values of these parameters (the ``right'' ones), this problem satisfies certain properties used in study of differential properties of optimal solutions in parametric Semi-Infinite Programming. We deduce the conditions guaranteing the existence of the ``right'' parameters values, and propose an algorithm for their determination. The conditions and the algorithm are essentially based on properties of a related linear-quadratic semi-infinite problem.

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