The paper introduces a mathematical modeling of linear motion on a deformable bearing surface (DBS) of a two-link road train consisting of four-axle truck with independent wheel drive and a three-axle semi-trailer. Predictive modeling based on application of pull-traction and energy efficiency obtained during the field research was used in the course of the model development to predict wheeled vehicle mover properties. Results of the theoretical research are given that relates to road train uphill motion with various wheel drives of the semi-trailer.