A dimension-reduction algorithm for multi-stage decision problems with returns in a partially ordered set
RAIRO - Operations Research - Recherche Opérationnelle, Tome 36 (2002) no. 3, pp. 175-190

Voir la notice de l'article provenant de la source Numdam

In this paper a two-stage algorithm for finding non- dominated subsets of partially ordered sets is established. A connection is then made with dimension reduction in time-dependent dynamic programming via the notion of a bounding label, a function that bounds the state-transition cost functions. In this context, the computational burden is partitioned between a time-independent dynamic programming step carried out on the bounding label and a direct evaluation carried out on a subset of “real” valued decisions. A computational application to time-dependent fuzzy dynamic programming is presented.

DOI : 10.1051/ro:2003001
Keywords: multi-criteria optimization, time-variant networks, dimension reduction
@article{RO_2002__36_3_175_0,
     author = {Getachew, Teodros and Kostreva, Michael M.},
     title = {A dimension-reduction algorithm for multi-stage decision problems with returns in a partially ordered set},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {175--190},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {3},
     year = {2002},
     doi = {10.1051/ro:2003001},
     mrnumber = {1988275},
     zbl = {1062.90032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro:2003001/}
}
TY  - JOUR
AU  - Getachew, Teodros
AU  - Kostreva, Michael M.
TI  - A dimension-reduction algorithm for multi-stage decision problems with returns in a partially ordered set
JO  - RAIRO - Operations Research - Recherche Opérationnelle
PY  - 2002
SP  - 175
EP  - 190
VL  - 36
IS  - 3
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/ro:2003001/
DO  - 10.1051/ro:2003001
LA  - en
ID  - RO_2002__36_3_175_0
ER  - 
%0 Journal Article
%A Getachew, Teodros
%A Kostreva, Michael M.
%T A dimension-reduction algorithm for multi-stage decision problems with returns in a partially ordered set
%J RAIRO - Operations Research - Recherche Opérationnelle
%D 2002
%P 175-190
%V 36
%N 3
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/ro:2003001/
%R 10.1051/ro:2003001
%G en
%F RO_2002__36_3_175_0
Getachew, Teodros; Kostreva, Michael M. A dimension-reduction algorithm for multi-stage decision problems with returns in a partially ordered set. RAIRO - Operations Research - Recherche Opérationnelle, Tome 36 (2002) no. 3, pp. 175-190. doi: 10.1051/ro:2003001

Cité par Sources :