Geodesic
On localizing global Pareto solutions in a given convex set
Applicationes Mathematicae, Tome 26 (1999) no. 4, pp. 383-394.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/am-26-4-383-394
Keywords: sufficient and necessary conditions for optimality, Pareto optimal solutions, dual cones, feasible directions

Agnieszka Drwalewska 1 ; Lesław Gajek 1

1 
@article{10_4064_am_26_4_383_394,
     author = {Agnieszka Drwalewska and Les{\l}aw Gajek},
     title = {On localizing global {Pareto} solutions in a given convex set},
     journal = {Applicationes Mathematicae},
     pages = {383--394},
     publisher = {mathdoc},
     volume = {26},
     number = {4},
     year = {1999},
     doi = {10.4064/am-26-4-383-394},
     zbl = {1010.90071},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/am-26-4-383-394/}
}
TY  - JOUR
AU  - Agnieszka Drwalewska
AU  - Lesław Gajek
TI  - On localizing global Pareto solutions in a given convex set
JO  - Applicationes Mathematicae
PY  - 1999
SP  - 383
EP  - 394
VL  - 26
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am-26-4-383-394/
DO  - 10.4064/am-26-4-383-394
LA  - en
ID  - 10_4064_am_26_4_383_394
ER  - 
%0 Journal Article
%A Agnieszka Drwalewska
%A Lesław Gajek
%T On localizing global Pareto solutions in a given convex set
%J Applicationes Mathematicae
%D 1999
%P 383-394
%V 26
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am-26-4-383-394/
%R 10.4064/am-26-4-383-394
%G en
%F 10_4064_am_26_4_383_394
Agnieszka Drwalewska; Lesław Gajek. On localizing global Pareto solutions in a given convex set. Applicationes Mathematicae, Tome 26 (1999) no. 4, pp. 383-394. doi : 10.4064/am-26-4-383-394. http://geodesic.mathdoc.fr/articles/10.4064/am-26-4-383-394/

Cité par Sources :