On Pareto and Salukwadze Optimization Problems

• Autorzy: Kotarski W.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Pareto and Salukwadze optima; Pareto boundary; criterion space; scalarization

PL

brzeg Pareto; optymalizacja

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2000
• Tom: Vol. 10, no 3
• Strony: 465--485
• Opis fizyczny: Bibliogr. 14 poz., wykr.

Twórcy

autor

Kotarski W.

• Institute of Informatics, Silesian University ul. Bedzinska 60, 41?200 Sosnowiec, Poland,