On polynomial solvability of the decentralized transportation problem with block matrices of profits of customers
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 34-40
Cet article a éte moissonné depuis la source Math-Net.Ru
Under study is a particular case of the decentralized transportation problem. Matrices of profits of customers consists of $n$ rows and $kn$ columns and has a block structure. A way of solution is algorithm based on the method of dynamic programming with time complexity $O(k^2n+kn^2)$.
Keywords:
decentralized transportation problem, dynamic programming.
@article{VNGU_2012_12_2_a3,
author = {R. T. Zaynutdinov and Y. V. Shamardin},
title = {On polynomial solvability of the decentralized transportation problem with block matrices of profits of customers},
journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
pages = {34--40},
year = {2012},
volume = {12},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a3/}
}
TY - JOUR AU - R. T. Zaynutdinov AU - Y. V. Shamardin TI - On polynomial solvability of the decentralized transportation problem with block matrices of profits of customers JO - Sibirskij žurnal čistoj i prikladnoj matematiki PY - 2012 SP - 34 EP - 40 VL - 12 IS - 2 UR - http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a3/ LA - ru ID - VNGU_2012_12_2_a3 ER -
%0 Journal Article %A R. T. Zaynutdinov %A Y. V. Shamardin %T On polynomial solvability of the decentralized transportation problem with block matrices of profits of customers %J Sibirskij žurnal čistoj i prikladnoj matematiki %D 2012 %P 34-40 %V 12 %N 2 %U http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a3/ %G ru %F VNGU_2012_12_2_a3
R. T. Zaynutdinov; Y. V. Shamardin. On polynomial solvability of the decentralized transportation problem with block matrices of profits of customers. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 12 (2012) no. 2, pp. 34-40. http://geodesic.mathdoc.fr/item/VNGU_2012_12_2_a3/
[1] Dementev V. T., Pyatkin A. V., “O detsentralizovannoi transportnoi zadache”, Diskretnyi analiz i issledovanie operatsii, 15:3 (2008), 22–30 | MR
[2] Dementev V. T., Shamardin Yu. V., “Ob odnom polinomialno razreshimom sluchae detsentralizovannoi transportnoi zadachi”, Diskretnyi analiz i issledovanie operatsii, 18:1 (2011), 20–26 | MR