Analysis of Train Movement Strategies for Time Delays Using the Nash Equilibrium

Analysis of train movement strategies for reducing delays using Nash equilibrium is a complex process that requires consideration of many factors affecting the transportation efficiency and costs. One of the key aspects considered in the paper is maintaining train traffic under variable time costs, namely, downtime due to track repairs or rolling stock breakdown. The paper proposes an optimized solution for selecting the train routes. Dijkstra’s algorithm is used to find the shortest route. The paper also analyzes the average time cost expectation for each strategy. The Nash equilibrium has been found that accounts for the interaction between the transport system participants. Purpose: to find an equilibrium for train movement in case of emergency; to create an optimal train schedule considering the above factor. Information technology, data analysis and other innovative approaches were used to achieve this goal. Methods: analysis of modern tools and technologies including mathematical modelling. Results: to emphasize the importance of train traffic management and organizational aspect of rail transport operation. Practical significance: the analysis of train movement strategies for reducing delays requires an integrated approach that includes the analysis of many factors, the interaction of various participants and the use of modern technologies. This allows improving the quality of passenger service as well as increasing rail transport efficiency.