Hausdorff methods for approximating the convex Edgeworth–Pareto hull in integer problems with monotone objectives
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 8, pp. 1401-1415

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

Adaptive methods for the polyhedral approximation of the convex Edgeworth–Pareto hull in multiobjective monotone integer optimization problems are proposed and studied. For these methods, theoretical convergence rate estimates with respect to the number of vertices are obtained. The estimates coincide in order with those for filling and augmentation $H$-methods intended for the approximation of nonsmooth convex compact bodies.
@article{ZVMMF_2016_56_8_a3,
     author = {A. I. Pospelov},
     title = {Hausdorff methods for approximating the convex {Edgeworth{\textendash}Pareto} hull in integer problems with monotone objectives},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1401--1415},
     publisher = {mathdoc},
     volume = {56},
     number = {8},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_8_a3/}
}
TY  - JOUR
AU  - A. I. Pospelov
TI  - Hausdorff methods for approximating the convex Edgeworth–Pareto hull in integer problems with monotone objectives
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2016
SP  - 1401
EP  - 1415
VL  - 56
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_8_a3/
LA  - ru
ID  - ZVMMF_2016_56_8_a3
ER  - 
%0 Journal Article
%A A. I. Pospelov
%T Hausdorff methods for approximating the convex Edgeworth–Pareto hull in integer problems with monotone objectives
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2016
%P 1401-1415
%V 56
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_8_a3/
%G ru
%F ZVMMF_2016_56_8_a3
A. I. Pospelov. Hausdorff methods for approximating the convex Edgeworth–Pareto hull in integer problems with monotone objectives. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 8, pp. 1401-1415. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_8_a3/