An elevator control of an elevator installation with at least two elevator cars that move independently of one another in a common elevator shaft has a control device for fixing a first common direction of travel of the at least two elevator cars and for reversing this first direction of travel on the basis of at least one internal destination floor selection and/or an external conveying request and/or a destination call only when all of the internal destination floor selections and/or all of the external conveying requests and/or all of the destination calls in the first direction of travel have been processed.