An elevator system includes at least one shuttle elevator and at least two local elevators, the elevator cars of which are arranged to travel in the same elevator hoistway such that they can serve at least one shared transfer floor of a transfer level. The control system of the elevator system receives destination calls given from a destination call appliance, forms a plurality of route alternatives and allocates a destination call to one or more elevators by selecting the best route alternative. When allocating a destination call, the control system takes into account that the elevator cars of the local elevators that travel in the same elevator hoistway cannot simultaneously be at a shared transfer floor in cases in which the route alternative includes a part-trip with a local elevator and a change of elevator at a shared transfer floor.