A Stochastic Model of a Passenger Transport Hub Operation Based on Queueing Networks

The paper concerns a methodology of mathematical modeling of passenger transport hub operation, which are significant elements of the transport infrastructure of a megalopolis. We use non-stationary and non-ordinary flows to describe the arrival of passengers on various modes of transport. We model the movement of passengers through the system using an open queueing network. The nodes’ service parameters are time-dependent. Thus, the model considers the characteristics of passenger traffic from different transport modes, the hierarchical structure of the system, several traffic routes within it, and the fluctuation of transport schedules the day. To apply the methodology, we select two objects located in the capitals of Russia and Vietnam. We construct mathematical models, perform scenario simulations, and then estimate the current and maximum capacity and provide recommendations for improving performance based on the numerical results.