Abstract: The invention relates to an elevator system comprising at least two elevator cars adapted to travel in respective separate hoistways of the same building. The at least two elevator cars have at least two different rated speeds comprising lowest rated speed and a rated speed higher than the lowest rated speed. At least each said elevator car with the rated speed higher than the lowest rated speed is provided with an electronic overspeed monitoring equipment configured to stop the movement of the elevator car, if the speed of the elevator car meets an overspeed threshold. The overspeed threshold is decreasing towards at least one end terminal of the hoistway. Each of said separate hoistway of the building has a bottom end terminal space with a substantially equal height and/or a top end terminal space with a substantially equal height.

Abstract: The invention relates to a method for operating an elevator system. The method comprises receiving a request to drive an elevator car to a destination and generating an elevator car motion profile to serve the received request. The elevator car motion profile comprises at least the following motion parameters of the elevator car: acceleration, maximum speed, and deceleration. At least one of the maximum speed of the elevator car and the deceleration of the elevator car in the generated elevator car motion profile is defined on the basis of the destination. The invention relates also to a processing unit and an elevator system configured to perform the method at least partly.