Development of a mathematical model for linking wagons to a schedule thread on railway sections

Abstract

In this article, an analysis was carried out on the development of a mathematical model of attachment of
rail cars to graphic times and experiments on minimizing the time of their stay at stations. Work has also
been done to determine the number of walkway variants of a particular part of the group of wagons to be
added up to a specified station using Gauss's method of “solving a system of linear algebraic equations”.
The functional possibilities of integrating the group of cars into commuter trains and optimizing their
withdrawal from the overtaking stations on the railway site have been researched on the basis of the
creation of a mathematical model.