- Tytuł:
- On Pareto and Salukwadze Optimization Problems
- Autorzy:
- Kotarski, W.
- Powiązania:
- https://bibliotekanauki.pl/articles/911205.pdf
- Data publikacji:
- 2000
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
brzeg Pareto
optymalizacja
Pareto and Salukwadze optima
Pareto boundary
criterion space
scalarization - Opis:
- In the paper, some problems of vector optimization are considered. Vector optimality is understood in the Pareto sense. Using the notion of Ponstein convexity, we formulate a 'scalarization' theorem. Two examples (vector optimization in IR^2 and an optimal-control problem for a parabolic equation with a vector performance index) are discussed. A Pareto boundary and a Salukwadze optimum are obtained for each of them. Additionally, for some vector optimization problems in IR^2, a criterion space is found. All calculations are performed with the use of Maple V. In the Appendix, a sketch of the proof of the main theorem on 'scalarization' is given.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2000, 10, 3; 465-485
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł