The problem of effective management of the railway freight flows in the conditions of the multiplicity of operators requires the rationalization of the transportation process. The further development of the authors’ research on creating the mathematical model of the railway freight flows in the region transportation and technological system is presented. For the first time, the theory of algebraic curves of higher orders is used to create a territorial model of the oligopolistic market of freight traffic. The algorithm for creating a model of freight transportation is based on the analysis of the qualitative and quantitative indicators of the operator company in the considered region with the use of analytical, heuristic, and graphic capabilities of math software. The theoretical substantia-tion of the territorial picture, the freight transportation market in the region is obtained. The carried-out research allows to specify possible ways of optimization of freight traffic distribution.
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