Narzędzia help

Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
first previous next last
cannonical link button

http://yadda.icm.edu.pl:80/baztech/element/bwmeta1.element.baztech-article-LOD6-0004-0006

Czasopismo

Journal of Applied Analysis

Tytuł artykułu

Efficiency and duality for generalized convex multiobjective programming

Autorzy Yan, Z.-X. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
Abstrakty
EN Under a class of generalized (Type I, F, ρ)-convexity assumptions, the author formulates the sufficient conditions about Pareto efficiency and Geoffrion proper efficiency and gets the dual results between multiobjective programming and its Wolfe dual.
Słowa kluczowe
PL (Type I, F, ρ)-funkcja wypukła  
EN (Type I, F, ρ)-convex function   Geoffrion proper efficiency   sublinear function  
Wydawca Walter de Gruyter GmbH & Co. KG
Czasopismo Journal of Applied Analysis
Rocznik 2008
Tom Vol. 14, nr 1
Strony 63--71
Opis fizyczny Bibliogr. 8 poz.
Twórcy
autor Yan, Z.-X.
Bibliografia
[1] Chankong, V., Haimes, Y. Y., Multiobjective Decision Making Theory and Methodology, North-Holland, New York, 1983.
[2] Geoffrion, A. M., Proper efficiency and the theory of vector maximization, J. Math. Anal. Appl. 22 (1968), 613-630.
[3] Hanson, M. A., Mond, B., Further generalizations of convexity in mathematical programming, J. Inform. Optim. Sci. 3 (1982), 22-35.
[4] Hanson, M. A., Mond, B., Necessary and sufficient conditions in constrained optimization, Math. Programming 37 (1987), 51-58.
[5] Kuhn. H. W., Tucker, A. W., Nonlinear programming, Proc. of the Second Berkeley Symposium on Mathematical Statistics and Probability (1950), Univ. Califormia Press, Berkeley-Los Angeles, 1951, 481-492.
[6] Mangasarian, O. L., Nonlinear Programming, McGraw-Hill, New York, 1969.
[7] Preda, V., On efficiency and duality for multiobjective programs, J. Math. Anal. Appl. 166 (1992), 365-377.
[8] Wolfe, P., A duality theorem for nonlinear programming, Quart. Appl. Math. 19 (1961), 239-244.
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-article-LOD6-0004-0006
Identyfikatory