On optimal properties of special semiinfinite problems arising in parametric optimization

Abstract

We consider a special Nonlinear Programming problem depending on integer parameters. For some values of these parameters of this problem satisfies certain properties used in study of differential properties of optimal solutions in parametric Semi-Infinite Pro-gramming. We deduce the conditions guaranteeing 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.