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A network model of inventory control in the case of a quantitative competition

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Abstract

Under study is a mathematical model for the processes of cyclic transportation in logistic systems in the case of a quantitative competition. The network under consideration is formed by some set of stations, each with the warehouses of several companies. The enterprises furnish and sell similar products the demand for which is deterministic. In simulating the management systems of each enterprise, we use a relaxation method of inventory control which permits deficit. For this model, the conditions are given for existence of an equilibrium solution.

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Correspondence to N. A. Gasratova.

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Original Russian Text © N.A. Gasratova, M.G. Gasratov, 2015, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2015, Vol. XVIII, No. 1, pp. 14–27.

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Gasratova, N.A., Gasratov, M.G. A network model of inventory control in the case of a quantitative competition. J. Appl. Ind. Math. 9, 165–178 (2015). https://doi.org/10.1134/S1990478915020039

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  • DOI: https://doi.org/10.1134/S1990478915020039

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