Geodesic
Some Properties of Transportation Manifold
Yugoslav journal of operations research, Tome 1 (1991) no. 1, p. 65

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper it is shown that the set of equality constraints of trans-portation problem can be represented as an intersection of two orthogonal affine sets. Projection point onto transportation manifold then could be achieved by consecutive projections onto these sets using simple formulas. This result can be used in solving a linear transportation problem (in variant of Karmarkar projective algorithm), as well as in a nonlinear case (by gradient projection method).
Keywords: transportation problem, point projection 
Nenad Mladenović; Jovan Petrić. Some Properties of Transportation Manifold. Yugoslav journal of operations research, Tome 1 (1991) no. 1, p. 65 . http://geodesic.mathdoc.fr/item/YJOR_1991_1_1_a5/
@article{YJOR_1991_1_1_a5,
     author = {Nenad Mladenovi\'c and Jovan Petri\'c},
     title = {Some {Properties} of {Transportation} {Manifold}},
     journal = {Yugoslav journal of operations research},
     pages = {65 },
     year = {1991},
     volume = {1},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/YJOR_1991_1_1_a5/}
}
TY  - JOUR
AU  - Nenad Mladenović
AU  - Jovan Petrić
TI  - Some Properties of Transportation Manifold
JO  - Yugoslav journal of operations research
PY  - 1991
SP  - 65 
VL  - 1
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/YJOR_1991_1_1_a5/
LA  - en
ID  - YJOR_1991_1_1_a5
ER  - 
%0 Journal Article
%A Nenad Mladenović
%A Jovan Petrić
%T Some Properties of Transportation Manifold
%J Yugoslav journal of operations research
%D 1991
%P 65 
%V 1
%N 1
%U http://geodesic.mathdoc.fr/item/YJOR_1991_1_1_a5/
%G en
%F YJOR_1991_1_1_a5