Abstract: Persons and/or goods are transported in vehicles which are each equipped with running wheels. The vehicles are connectable to a continuously driven traction cable by which they are driven along a track, such as on rails. A plurality of deceleration wheels and a plurality of acceleration wheels disposed in stations of the system where the vehicles may be loaded and unloaded. In the stations, the vehicles are disconnectable from the traction cable. The vehicles are slowed down by bringing the deceleration wheels into contact therewith and they are accelerated by bringing the acceleration wheels into contact therewith. The deceleration wheels are divided into a plurality of groups and the wheels within each group are driven at the same peripheral speed. Upon transfer of the vehicle from one group of wheels to an adjacent group, the wheels of the two groups are driven at the same speed as well.