supportedness

Convexlikeness and Supportedness in Quadratic Multiobjective Optimization

Categories Multi-Criteria Optimization, Quadratic Programming Tags , , , , , , ,

This paper studies geometric and structural properties of quadratic multiobjective optimization problems. Thereby, a multiobjective optimization problem is called convexlike if the upper image, i.e., the image set plus the nonnegative orthant, is a convex set. Moreover, we say that a feasible point is supported in case it is a minimal solution of a weighted … Read more

On Supportedness-Promoting Image Space Transformations in Multiobjective Optimization

Categories Multi-Criteria Optimization Tags , , , ,

We study the supportedness of nondominated points of multiobjective optimization problems, that is, whether they can be obtained via weighted sum scalarization. One key question is how supported points behave under an efficiency-preserving transformation of the original problem. Under a differentiability assumption, we characterize the transformations that preserve both efficiency and supportedness as the component-wise … Read more