Geodesic
A network inventory control model in the case of quantitative competition
Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 1, pp. 14-27

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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. 
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     author = {N. A. Gasratova and M. G. Gasratov},
     title = {A network inventory control model in the case of quantitative competition},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {14--27},
     publisher = {mathdoc},
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     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2015_18_1_a1/}
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N. A. Gasratova; M. G. Gasratov. A network inventory control model in the case of quantitative competition. Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 1, pp. 14-27. http://geodesic.mathdoc.fr/item/SJIM_2015_18_1_a1/