A method of calculating a processing power available from a supervisor of a multi-programmed computing system by a first partition of a plurality of partitions, the method comprising collecting, by the first partition, state data from the supervisor, the state data including a processing capacity of the multi-programmed computing system. The method further comprises initializing a remaining capacity variable to the processing capacity of the multi-programmed computing system; initializing variables, including setting a binary variable to a first logic value for each of the plurality of partitions; iteratively computing an entitlement and amount of power to award for each of the plurality of partitions having their respective binary variables set to the first logic value; and requesting the processing power from the supervisor, based on the iterative computation.