An exemplary method of controlling an elevator system includes determining a source floor of a new call from a passenger desiring elevator service. A direction of travel from the source floor for the new call is also determined. A path of a considered elevator car is simulated as if the new call were assigned to the considered elevator car by determining at least one of (i) a relationship between a position of the considered elevator car and the source floor or (ii) a relationship between a direction of movement of the considered elevator car and the direction of travel. The new call is assigned to one of a plurality of elevator cars if the assigning will satisfy each of (i) the one of the elevator cars will not move in a direction opposite the direction of travel during a time between the passenger boarding the one of the elevator cars and arriving at a destination of the passenger and (ii) the one of the elevator cars will not move in a direction opposite a travel direction of any currently assigned passenger during a time between the currently assigned passenger boarding the one of the elevator cars and arriving at a destination of the currently assigned passenger.