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

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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 
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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/