- Tytuł:
- A logarithmic barrier function method for solving nonlinear multiobjective programming problems
- Autorzy:
-
Tlas, M.
Abdul Ghani, B. - Powiązania:
- https://bibliotekanauki.pl/articles/970097.pdf
- Data publikacji:
- 2005
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
metoda wewnętrzna
metoda Newtona
multiobjective programming
interior methods
Newton method
barrier functions - Opis:
- An interior point method for solving nonlinear multiobjective programming problems, over a convex set contained in the real space R^n, has been developed in this paper. In this method a new strictly concave logarithmic barrier function has been suggested in order to transform the orginal problem into a sequence of unconstrained subproblems. These subproblems can be solved using Newton method for determining Newton's directions along which line searches are performed. It also has been proved that the number of iterations required by the suggested algorithm to converge to an [epsilon]-optimal solution is 0(m|ln[epsilon]|), depending on predetermined error tolerance [epsilon] and the number of constraints m.
- Źródło:
-
Control and Cybernetics; 2005, 34, 2; 487-504
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł