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The problem of rational use of locomotives is quite acute. Here it is necessary to find the best compromise. In case of excess of locomotives there are less delays of trains, but locomotive costs are higher. In case of insufficient number of locomotives the situation is reversed. A model for calculating the optimal modes of turnover of train locomotives serving train flow isтoffered. The model promotes the further development of the dynamic transport task. The parameters of trains movement anddoi:10.30932/1992-3252-2016-14-4-10 fatcat:sw7b3xsd4zh5dnhc2jsygrcf6a