Abstract: A transport system for transport of specimens in a medical or chemical analysis laboratory. The system includes a transport track predefining travel paths, and at least one self-propelled transport carriage configured to moving along the travel paths. The carriage has a specimen receptacle, four wheels driven by an electric motor, an electrical energy store for providing power to a motor drive, and a motor drive controller. The carriage wheels are arranged on two axes aligned parallel to one another, with only the wheels of a first axle being driven. Each wheel of the driven axle is connected to a dedicated electric motor drive and is driven at a rotational speed individually predefined by the controller. Longitudinal grooves are routed along the travel paths in the transport track and a guide projection protruding from the underside of the carriage engages in the longitudinal grooves.