Improving the Efficiency of Low-Intensity Lines: Mathematical Problem Statement and Algorithmic Support

The article offers a solution to the problem of functioning of low-intensity lines. The provisions of the strategies for the development of railway transport for different planning horizons in the context of increasing the efficiency of low-intensity lines functioning are considered. The features of low-intensive lines functioning on the Russian railroads were determined in part of their high social importance for the population and strategic importance for the state and correlation of traffic volume in regions and its economic development. The mathematical formulation of the problem of effective functioning of low-intensity lines on the basis of its decomposition to determine the stages of the life cycle has been proposed. It improves the model of management of intensive and low-intensive lines interaction by means of fuzzy cognitive modeling methods. An enlarged fuzzy cognitive map of intensive and low-intensity lines management is presented. Control concepts, which have a significant impact on the control object, are defined. We apply methods of analysis and synthesis, systems theory and mathematical modelling. The solution to the problem of improving the efficiency of functioning of low-intensity lines in modern conditions from the standpoint of weakly structured systems is offered. The author presents a mathematical statement of the problem of functioning of low-intensity lines, which is solved by determining the stages of life cycle, the development of sustainable development trajectory and a model of interaction management of intensive and low-intensity lines based on fuzzy cognitive modeling to be applied in practice to existing low-intensity lines.