A method for managing the filling levels of a plurality of tanks arranged in a ship, said tanks being connected in such a way as to allow liquid to be transferred between said tanks, the method comprising



providing an initial state (7) of the tanks,
determining a target state (8) defining respective final filling levels of said tanks,
determining a liquid transfer scenario (9), the transfer scenario defining one or more flows of liquid to be transferred between the tanks during a transfer period in order to shift from the initial state to the target state of the tanks,
calculating a probability of damage to the tanks (10) during the course of said transfer scenario, as a function of successive filling levels of the tanks during the transfer period,
if the probability of damage to the tanks satisfies an acceptance criterion, transferring (13) the liquid between the tanks in accordance with said transfer scenario.