Purpose: To develop a mathematical model for calculating twenty-foot equivalent in container trains on the platform given model, to formulate a calculation method in twenty-foot equivalent (TFE) in container trains, to designate a target function in finding optimal filling capacity of fitting platform. Methods: Mathematical calculations were applied using Pascal software environment in terms of automating calculation of fitting platform capacity. Research results: During the calculations, mathematical model design was carried out as well as the study of parameters such as a container mass, size and model was done. Using the analysis of container train load, a target function for the search of fitting platform optimal filling capacity was identified. Practical significance: Review of calculation process for twenty-foot equivalent was carried out by station employees. It is established that as a new element in paperwork chain there should be considered automatic calculation of TFE in container trains, namely, TFE automatic reporting based on the obtained values for TFE in terms of filling in a general form act and a cumulative statement. The description of TFE calculation stages for a one container of 22G1 size on platform given type is demonstrated. Based on the study results, software product in Pascal environment for the calculation of a one container capacity into TFE is proposed.

Purpose: To develop an automated algorithm using simulation modeling tools that allows calculating actual capacity of railway line with mixed traffic. Analytical formulas underlie the algorithm. Results: The algorithm features the use of simulation modeling tools and taking into account of the same name coefficient. The application of the given software product will allow to raise the efficiency and accuracy of actual capacity calculation accuracy. The data, obtained during the simulation, were compared to the data in the timetable, their discrepancy was revealed which basis on, simulation modeling value, integrated into existing formulas, was found. Based on all calculations, software algorithm has been developed with its subsequent implementation in Maple software environment in order to automate calculations and increase their efficiency. Methods: Simulation modeling and analytical comparison method were used. Practical significance: Improving the accuracy of calculations of the values of available capacity on the network of JSC "Russian Railways" and simplifying the implementation of such calculations. This algorithm, if implemented, would bring the calculated values closer to the real ones.

Purpose: To study the impact of multimodal transportations on long-distance passenger transportations at the landfill of “FPC” Ltd. since in modern realities, train traffic planning without taking into account passenger demand can reduce railway competitive advantages in the market of transport mixed kind transportation and in the future, can lead to passenger dissatisfaction. To show the importance of making traffic schedule in accordance with passenger demand. To consider the matter on necessity of the supplement of existing approaches to multimodal route selection and on possibility to apply a regression model to forecast passenger flows. To pursue the testing of the developed methodology on the example of particular multimodal route. Methods: Comparison of existing approaches to multimodal transportation organization and their complement. Methods of mathematical statistics for passenger traffic flow forecasting. Results: The influence of multimodal transportations on long-distance passenger transportations at “FPC” Ltd landfill is considered. The criteria of multimodal transportation are defined. The methodology for feasibility assessment of multimodal route organization is proposed that allows estimating expected profit from transportation organization as well as predicting transportation impact on transportation process indicators. Practical importance: The recommendations and approaches proposed in the developed by the author methodology can be used for multimodal route development. The developed algorithm makes it possible to assess the prospects for passenger traffic change and allows yet at the preliminary selection stage for multimodal transportation organization options to perform a preliminary analysis of this organization economic feasibility.