Geodesic
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

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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. 
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     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},
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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/