A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
A Note on Extended Characterization of Generalized Trade-Off Directions in Multiobjective Optimization
Tekijät: Mäkelä MM, Nikulin Y, Mezei J
Kustantaja: HELDERMANN VERLAG
Julkaisuvuosi: 2012
Journal: Journal of Convex Analysis
Tietokannassa oleva lehden nimi: JOURNAL OF CONVEX ANALYSIS
Lehden akronyymi: J CONVEX ANAL
Numero sarjassa: 1
Vuosikerta: 19
Numero: 1
Aloitussivu: 91
Lopetussivu: 111
Sivujen määrä: 21
ISSN: 0944-6532
We consider five basic optimality principles for a general multiobjective optimization problem with convex and nonconvex partial objectives. We introduce a generalization of the concept of trade-off directions defining them via some optimal surface of appropriate cones. In both cases, we link optimality and generalized trade-off directions by deriving geometrical optimality conditions in terms of appropriate cones. We scrutinize similarities and differences between the cases. Combining newly proven facts with some previously known results, we derive four general patterns reflecting structural properties and interconnections of the considered optimality principles. Additionally, we provide extended characterization of optimality for some peculiar cases.