Analytical studies of dynamics of rolling stock size
The paper analyzes the mathematical continuous model of rolling stock size dynamics for a certain period of operation of rolling stock. In accordance with the requirements of construction of a mathematical model, the model contains important information about the object, the model is quite simple, can be analyzed with minimal effort, and also can be used for planning and forecasting the size of the rolling stock. One of the most important problems of economic efficiency of industrial enterprises is to ensure reliable operation of rolling stock objects. On the basis of the developed differential model, analytical and numerical solution is found for the system modeling dynamics process of rolling stock; size and duration of routine repair and overhaul of rolling stock assets is determined. The paper seeks to find a theoretical justification for effective management of a stable rolling stock size, with the help of mathematical methods, to work out the conditions under which it is possible to analyze the dynamics of objects distribution by different phases of the rolling stock life cycle, by rolling stock mileage. The paper uses the methods of theory of solution and research of differential equations with partial derivatives, ordinary differential systems. MathCAD 14 for numerical solutions of differential equations is used.