Geodesic
An optimality criterion for disjoint bilinear programming and its application to the problem with an acute-angled polytope for a disjoint subset
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2024), pp. 109-136

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

We formulate and prove an optimality criterion for the disjoint bilinear programming problem and show how it can be efficiently used for solving the problem when one of the disjoint subsets has the structure of an acute-angled polytope. A class of integer and combinatorial problems that can be reduced to the disjoint bilinear programming problem with an acute-angled polytope is presented and it is shown how the considered optimality criterion can be applied. 
@article{BASM_2024_1_a7,
     author = {Dmitrii Lozovanu},
     title = {An optimality criterion for disjoint bilinear programming and its application to the problem with an acute-angled polytope for a disjoint subset},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {109--136},
     publisher = {mathdoc},
     number = {1},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2024_1_a7/}
}
TY  - JOUR
AU  - Dmitrii Lozovanu
TI  - An optimality criterion for disjoint bilinear programming and its application to the problem with an acute-angled polytope for a disjoint subset
JO  - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
PY  - 2024
SP  - 109
EP  - 136
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BASM_2024_1_a7/
LA  - en
ID  - BASM_2024_1_a7
ER  - 
%0 Journal Article
%A Dmitrii Lozovanu
%T An optimality criterion for disjoint bilinear programming and its application to the problem with an acute-angled polytope for a disjoint subset
%J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
%D 2024
%P 109-136
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BASM_2024_1_a7/
%G en
%F BASM_2024_1_a7
Dmitrii Lozovanu. An optimality criterion for disjoint bilinear programming and its application to the problem with an acute-angled polytope for a disjoint subset. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2024), pp. 109-136. http://geodesic.mathdoc.fr/item/BASM_2024_1_a7/