Abstract. The authors analyze the joint evolutionary development of power supply systems in railways and computer networks and their management technologies. It is shown that the basis of energy consumption optimization is related to intelligent power supply procedures. The authors propose a graph topology that adequately reflects the model architecture for computer network managementat the level of railway power distance, for the mutual integration of grid infrastructure and computer architecture at all-management level of railway supply distance. The differential mathematical model is proposed for the analysis of the computer architecture of a fully integrated management system for power supply distance and methods are specified to determine, in analytical form, the probability values of the nodes, throughput capabilities, the number of failures, as the basis of intellectualization of power supply procedures.

Keywords: mathematical model, methods, differential, graph, computer network, architecture, distance of power supply, optimization.