The invention refers to an elevator system having a plurality of elevator cars, which elevator cars comprise several first cars and at least one second car, which second car differs from the first cars in its size and/or technical configuration, whereby the first cars and the second car run together within one and the same elevator shaft, which elevator system comprises an elevator control comprising a call allocation control having a first part connected to at least one call input device for allocating the first elevator cars and a second part connected to at least one call issuing means for the call allocation of the second car, whereby the first and second part of the call allocation control are configured to work independently of each other.