Geodesic
Stability conditions for a~multicriteria Boolean problem of minimizing projections of linear functions
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 2, pp. 125-133

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a multicriteria Boolean problem with partial criteria that are projections of linear functions on the nonnegative orthant. Necessary and sufficient conditions for five known types of stability of the problem are obtained. These types describe differently the behavior of the Pareto set of the problem with respect to disturbances of the parameters of the vector criterion.
Mots-clés : multicriteria problem
Keywords: projections of linear functions, Pareto set, types of stability. 
@article{TIMM_2013_19_2_a11,
     author = {V. A. Emelichev and K. G. Kuz'min},
     title = {Stability conditions for a~multicriteria {Boolean} problem of minimizing projections of linear functions},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {125--133},
     publisher = {mathdoc},
     volume = {19},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a11/}
}
TY  - JOUR
AU  - V. A. Emelichev
AU  - K. G. Kuz'min
TI  - Stability conditions for a~multicriteria Boolean problem of minimizing projections of linear functions
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2013
SP  - 125
EP  - 133
VL  - 19
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a11/
LA  - ru
ID  - TIMM_2013_19_2_a11
ER  - 
%0 Journal Article
%A V. A. Emelichev
%A K. G. Kuz'min
%T Stability conditions for a~multicriteria Boolean problem of minimizing projections of linear functions
%J Trudy Instituta matematiki i mehaniki
%D 2013
%P 125-133
%V 19
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a11/
%G ru
%F TIMM_2013_19_2_a11
V. A. Emelichev; K. G. Kuz'min. Stability conditions for a~multicriteria Boolean problem of minimizing projections of linear functions. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 2, pp. 125-133. http://geodesic.mathdoc.fr/item/TIMM_2013_19_2_a11/