- Tytuł:
- Generalizing trade-off deirections in multiobjective optimization
- Autorzy:
-
Mäkelä, M. M.
Nikulin, Y.
Mezei, J. - Powiązania:
- https://bibliotekanauki.pl/articles/205690.pdf
- Data publikacji:
- 2012
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
generalized trade-off directions
multiobjective optimization
geometrical characterization
convex and nonconvex optimization
optimality principles - Opis:
- We consider a general multiobjective optimization problem with five basic optimality principles: efficiency, weak and proper Pareto optimality, strong efficiency and lexicographic optimality. We generalize the concept of trade-off directions defining them as some optimal surface of appropriate cones. In convex optimization, the contingent cone can be used for all optimality principles except lexicographic optimality, where the cone of feasible directions is useful. In nonconvex case the contingent cone and the cone of locally feasible directions with lexicographic optimality are helpful. We derive necessary and sufficient geometrical optima lity conditions in terms of corresponding trade-off directions for both convex and nonconvex cases.
- Źródło:
-
Control and Cybernetics; 2012, 41, 3; 561-576
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł