Differential Mathematical Models to Investigate the Computer Network Architecture of an All-Mode System of Control over a Distance of Railways

The evolutionary development of railway power-supply systems and computer networks and technologies that control these systems are analyzed. It is shown that the optimization of electricity consumption is based on the intellectualization of electricity supply procedures. A graph is constructed whose topology adequately represents the typical architecture of a computer network of control at the layer of a distance of power supply of railways with a view to investigating the mutual integration of a power supply infrastructure and a computer network architecture of all-mode control. This article proposes a differential mathematical model for investigating the computer network architecture of an all-mode system of control over a distance of power supply and methods (in analytical form) for determining values of probabilities of states of system nodes, their capacities, and the number of failures of requests as the basis for the intellectualization of power supply procedures.