A real-time feasibility device includes circuitry configured to sort tasks into a first scheduling priority order; split the sorted tasks into a first subset which can be scheduled using an inexact condition test and a second subset which cannot be scheduled using the inexact condition test; test the first subset using the inexact condition test; sort the tested first subset into a second scheduling priority order; sort the second subset into a third scheduling priority order; filter out one or more tasks of the second subset which cannot be scheduled using the inexact condition test or the exact condition test; test remaining tasks of the second subset using the exact condition test; sort the tested remaining tasks of the second subset into a fourth scheduling priority order; and execute the sorted and tested first subset and the sorted and tested remaining tasks of the second subset.