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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2012, Volume 12, Issue 2, Pages 34–40 (Mi vngu117)  
On polynomial solvability of the decentralized transportation problem with block matrices of profits of customers

R. T. Zaynutdinov, Y. V. Shamardin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
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Abstract: 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.
Received: 09.04.2012
English version:
Journal of Mathematical Sciences, 2014, Volume 198, Issue 5, Pages 648–653
DOI: https://doi.org/10.1007/s10958-014-1816-0
Document Type: Article
UDC: 519.87+519.854
Language: Russian
Citation: R. T. Zaynutdinov, Y. V. Shamardin, “On polynomial solvability of the decentralized transportation problem with block matrices of profits of customers”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:2 (2012), 34–40; J. Math. Sci., 198:5 (2014), 648–653
Citation in format AMSBIB
\Bibitem{ZaiSha12}
\by R.~T.~Zaynutdinov, Y.~V.~Shamardin
\paper On polynomial solvability of the decentralized transportation problem with block matrices of profits of customers
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2012
\vol 12
\issue 2
\pages 34--40
\mathnet{http://mi.mathnet.ru/vngu117}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 198
\issue 5
\pages 648--653
\crossref{https://doi.org/10.1007/s10958-014-1816-0}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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