Production system for the simultaneous, generative manufacturing of several components by means of a selective laser sintering or laser melting technique, wherein the following are provided in at least one production processing area: - at least two jigs in the form of SLM and/or SLS units, each of which is provided at least with one construction container that is removable from a process chamber of the units; - at least one extraction station for unpacking a finished component from one of the construction containers; - at least one post-processing station for the thermal and/or surface mechanical post-treatment of finished, extracted components; and - at least one storage area for storing the components; - self-driven transport units, steerable and controllable by means of the production system control unit; and - a production system control unit to which the jigs, the extraction station, and the post-processing stations are connected and which is designed to control the units or stations, and query the operating status and temporal availability of the units or stations, and query the quantities and types of building materials available for the jigs; - wherein either the construction containers and/or the finished components removed from them or the building slabs to be inserted into the construction containers are picked up automatically by the transport units, steerable and controllable by means of the production system control unit, and transported to a fixture or station, where they are either placed into a process chamber and locked automatically, or placed into a post-processing station, wherein - the construction container or the components are automatically removed, after completion of a generative building process, by a self-driven means of transport with automatic unlocking and driven program-controlled to an interim storage station or extraction station, and placed into it, and - wherein the construction containers or components or building slabs are fastened by at least one coupling fixture on or to the transport units and interlocked with locking elements of a jig, a post-processing station or a height-adjustable carrier of a construction container, and the coupling fixture between transport unit and construction container, component or building slab is loosened program-controlled, wherein the transport units are designed as either transport carriages or aerial transport vehicles. - at least two jigs in the form of SLM and/or SLS units, each of which is provided at least with one construction container that is removable from a process chamber of the units; - at least one extraction station for unpacking a finished component from one of the construction containers; - at least one post-processing station for the thermal and/or surface mechanical post-treatment of finished, extracted components; and - at least one storage area for storing the components; - self-driven transport units, steerable and controllable by means of the production system control unit; and - a production system control unit to which the jigs, the extraction station, and the post-processing stations are connected and which is designed to control the units or stations, and query the operating status and temporal availability of the units or stations, and query the quantities and types of building materials available for the jigs; - wherein either the construction containers and/or the finished components removed from them or the building slabs to be inserted into the construction containers are picked up automatically by the transport units, steerable and controllable by means of the production system control unit, and transported to a fixture or station, where they are either placed into a process chamber and locked automatically, or placed into a post-processing station, wherein - the construction container or the components are automatically removed, after completion of a generative building process, by a self-driven means of transport with automatic unlocking and driven program-controlled to an interim storage station or extraction station, and placed into it, and - wherein the construction containers or components or building slabs are fastened by at least one coupling fixture on or to the transport units and interlocked with locking elements of a jig, a post-processing station or a height-adjustable carrier of a construction container, and the coupling fixture between transport unit and construction container, component or building slab is loosened program-controlled, wherein