Multiobjective approaches based on variable ordering structures for intensity problems in radiotherapy treatment / Le Thanh Tam
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Discovery
893719218
URN
urn:nbn:de:gbv:3:2-75317
DOI
ISBN
ISSN
Autorin / Autor
Beiträger
Körperschaft
Erschienen
Halle/Saale : Martin-Luther-Universität Halle-Wittenberg, Naturwissenschaftliche Fakultät II, Institut für Mathematik, 2017
Umfang
1 Online-Ressource (35 Seiten, 343 KB) : Diagramme
Ausgabevermerk
Sprache
eng
Anmerkungen
Inhaltliche Zusammenfassung
Recently, 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.
Schriftenreihe
Reports ; 2017, No. 05 ppn:584754027