A device for the generative production of a component, comprising: - a supply tank for accommodating powder-form material; - a first overflow tank for accommodating excess powder-form material, a first closing means being associated with the first overflow tank, the first closing means being switchable between a closed state in which powder-form material is not transportable into the first overflow tank, and an open state in which powder-form material is transportable into the first overflow tank, - a construction space in which the component is producible layer-by layer from the powder-form material; - a second overflow tank for accommodating excess powder-form material, a second closing means being associated with the second overflow tank, the second closing means being switchable between a closed state in which powder-form material is not transportable into the second overflow tank, and an open state in which powder-form material is transportable into the second overflow tank; and - a transport means by means of which the powder-form material is transportable at least from the supply tank, across the first overflow tank, to the construction space, and from the construction space to the second overflow tank; characterized in that an additional supply tank for accommodating powder-form material is provided, and the transport means: - is movable from the supply tank, across the first overflow tank, to the construction space and from the construction space, across the second overflow tank, to the additional supply tank; and - is movable from the additional supply tank, across the second overflow tank, to the construction space and from the construction space, across the first overflow tank, to the supply tank, wherein the transport means, the first closing means, and the second closing means are coupled to a control means, the control means being designed for: - switching the first closing means into the closed state and the second closing means into the open state when the transport means is moved from the supply tank, across the first overflow tank, to the construction space and from the construction space, across the second overflow tank, to the additional supply tank; and - switching the first closing means into the open state and the second closing means into the closed state when the transport means is moved from the additional supply tank, across the second overflow tank, to the construction space and from the construction space, across the first overflow tank, to the supply tank. - a supply tank for accommodating powder-form material; - a first overflow tank for accommodating excess powder-form material, a first closing means being associated with the first overflow tank, the first closing means being switchable between a closed state in which powder-form material is not transportable into the first overflow tank, and an open state in which powder-form material is transportable into the first overflow tank, - a construction space in which the component is producible layer-by layer from the powder-form material; - a second overflow tank for accommodating excess powder-form material, a second closing means being associated with the second overflow tank, the second closing means being switchable between a closed state in which powder-form material is not transportable into the second overflow tank, and an open state in which powder-form material is transportable into the second overflow tank; and - a transport means by means of which the powder-form material is transportable at least from the supply tank, across the first overflow tank, to the construction space, and from the construction space to the second overflow tank; - is movable from the supply tank, across the first overflow tank, to the construction space and from the construction space, across the second overflow tank, to the additional supply tank; and - is movable from the additional supply tank, across the second overflow tank, to the construction space and from the construction space, across the first overflow tank, to the supply tank, - switching the first closing means into the closed state and the second closing means into the open state when the transport means is moved from the supply tank, across the first overflow tank, to the construction space and from the construction space, across the second overflow tank, to the additional supply tank; and - switching the first closing means into the open state and the second closing means into the closed state when the transport means is moved from the additional supply tank, across the second overflow tank, to the construction space and from the construction space, across the first overflow tank, to the supply tank.