Tam, Le Thanh2025-05-292017https://epflicht.bibliothek.uni-halle.de/handle/123456789/4871893719218urn:nbn:de:gbv:3:2-753172580587FbTIBRecently, in many papers Intensity Modulated Radiotherapy Treatment problems are studied as multicriteria optimization problems with respect to a constant ordering cone. In these problems, the goal is to maximize the dose delivered to cancer tumor as well as to reduce side effects. However, from a practical perspective, it is more convenient to consider such problems with respect to a variable ordering structure. In this paper, we introduce a special cone-valued mapping based on the goal of cancer treatment. We consider a mathematical formulation of intensity problems equipped with this ordering structure. In addition, we derive necessary conditions for solutions of a vector-valued approximation problem with respect to a general ordering cone. Finally, we calculate in detail necessary conditions for minimal solutions of the intensity problem in radiotherapy treatment.1 Online-Ressource (35 Seiten, 343 KB) : Diagrammeenghttp://rightsstatements.org/vocab/InC/1.0/510Book