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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2014, Volume 14, Issue 1, Pages 28–34 (Mi vngu324)  
An Algorithm of Logistic Costs Minimization Under Constraints on Supply Volumes

N. I. Burlakovaa, V. V. Servakhb

a Omsk State University
b Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: A problem of minimization of delivery and storage costs of a product is considered under constraints on volumes of delivery from each of the suppliers. It is required to determine optimal volumes and times of product shipments. The problem is $NP$-hard. In this paper, the problem is proved to be pseudopolynomially solvable and an algorithm for its solution is proposed.
Keywords: complexity theory, logistics, dynamic programming, pseudopolynomial algorithm.
Received: 23.11.2012
English version:
Journal of Mathematical Sciences, 2015, Volume 211, Issue 6, Pages 752–759
DOI: https://doi.org/10.1007/s10958-015-2631-y
Document Type: Article
UDC: 519.8
Language: Russian
Citation: N. I. Burlakova, V. V. Servakh, “An Algorithm of Logistic Costs Minimization Under Constraints on Supply Volumes”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 14:1 (2014), 28–34; J. Math. Sci., 211:6 (2015), 752–759
Citation in format AMSBIB
\Bibitem{BurSer14}
\by N.~I.~Burlakova, V.~V.~Servakh
\paper An Algorithm of Logistic Costs Minimization Under Constraints on Supply Volumes
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2014
\vol 14
\issue 1
\pages 28--34
\mathnet{http://mi.mathnet.ru/vngu324}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 211
\issue 6
\pages 752--759
\crossref{https://doi.org/10.1007/s10958-015-2631-y}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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