Abstract
Objective: To develop a mathematical model of the functioning of the freight traffic subsystem interconnected with the general freight transportation model on the basis of the accepted basic assumptions and conditions, since the main type of interaction of the general system with a particular system (subsystem) is the application of constraints on the particular model parameters imposed by the requirements for the quality of the general model functioning according to the nomenclature, service level, and time characteristics of customer service, which are external to the modeled transportation subsystem. Methods: Analysis, synthesis, abstraction, comparison, and mathematical modeling methods were used. Results: A mathematical model of the functioning of a transportation subsystem has been created, taking into account the necessary restrictions imposed by the Russian Railways general functioning model. The complete package of source data required for the practical implementation of this mathematical model as applied to railway transportation is available in the data stores of the main data processing center of Russian Railways. Existing numerical methods for solving such higher dimensional systems of equations make it possible to obtain a numerical implementation of such a model. The proposed model can serve the purposes of assessing the efficiency of the transportation subsystem, since it makes it possible to assess the mathematical expectations of the numbers of each of this system's states at any given time. Practical importance: The practical result of applying the developed model should be quantitatively substantiated recommendations for solving the main problems of choosing a transportation provider when planning multimodal transportation process, as well as for current and future transportation management under given conditions
Published Version
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