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Sibirskii Zhurnal Industrial'noi Matematiki, 2015, Volume 18, Number 1, Pages 14–27
DOI: https://doi.org/10.17377/sibjim.2015.18.102 (Mi sjim868) 		 
A network inventory control model in the case of quantitative competition

N. A. Gasratovaa, M. G. Gasratovb

a St. Petersburg State University, 7–9, Universitetskaya emb., 199034 St. Petersburg
b OJSC MegaFon
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DOI: https://doi.org/10.17377/sibjim.2015.18.102
Abstract: Under study is a mathematical model of processes of cyclic transportation in logistic systems for the case of quantitative competition. We consider a network of a set of stations at each of which there are several enterprises with their warehouses. Enterprises supply and sell homogeneous products the demand for which is deterministic. Each enterprise uses a relaxation method of inventory control with the assumption of deficiency when modeling control systems. Existence conditions for an equilibrium solution for the model are given.
Keywords: logistic system, quantitative competition, internal strategy, external strategy, Nash equilibrium in pure strategy, inventory control.
Received: 24.09.2014
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 2, Pages 165–178
DOI: https://doi.org/10.1134/S1990478915020039
Bibliographic databases:
Document Type: Article
UDC: 519.833+339.144
Language: Russian
Citation: N. A. Gasratova, M. G. Gasratov, “A network inventory control model in the case of quantitative competition”, Sib. Zh. Ind. Mat., 18:1 (2015), 14–27; J. Appl. Industr. Math., 9:2 (2015), 165–178
Citation in format AMSBIB
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\by N.~A.~Gasratova, M.~G.~Gasratov
\paper A network inventory control model in the case of quantitative competition
\jour Sib. Zh. Ind. Mat.
\yr 2015
\vol 18
\issue 1
\pages 14--27
\mathnet{http://mi.mathnet.ru/sjim868}
\crossref{https://doi.org/10.17377/sibjim.2015.18.102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3549814}
\elib{https://elibrary.ru/item.asp?id=23004802}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 2
\pages 165--178
\crossref{https://doi.org/10.1134/S1990478915020039}
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