A model of interaction between a railway and a seaport has been developed in the presence of a governing body. Interaction functions are described for the proposed model, analytical solutions for the static model are found, and the simulation speed is compared without and with the use of analytics. Next, a dynamic model is considered and an algorithm for finding an equilibrium for this model is proposed. The subsequent use of parallel programming methods will make it possible to plan interaction in this model to a better extent.

Keywords: mathematical model, simulation modeling, Stackelberg equilibrium, hierarchical game, mixed transportation, railway transport, port