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Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 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

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.

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English version:
Journal of Mathematical Sciences, 2015, 211:6, 752–759

UDC: 519.8
Received: 23.11.2012

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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