- Tytuł:
- On localizing global Pareto solutions in a given convex set
- Autorzy:
-
Drwalewska, Agnieszka
Gajek, Lesław - Powiązania:
- https://bibliotekanauki.pl/articles/1338686.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
sufficient and necessary conditions for optimality
Pareto optimal solutions
dual cones
feasible directions - Opis:
- Sufficient conditions are given for the global Pareto solution of the multicriterial optimization problem to be in a given convex subset of the domain. In the case of maximizing real valued-functions, the conditions are sufficient and necessary without any convexity type assumptions imposed on the function. In the case of linearly scalarized vector-valued functions the conditions are sufficient and necessary provided that both the function is concave and the scalarization is increasing with respect to the cone generating the preference relation.
- Źródło:
-
Applicationes Mathematicae; 1999, 26, 4; 383-394
1233-7234 - Pojawia się w:
- Applicationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł