A task scheduling method is disclosed, where each processor core is programmed with a short list of priorities, each associated with a minimum response time. The minimum response times for adjacent priorities are different by at least one order of magnitude. Each process is assigned a priority based on how its expected response time compares with the minimum response times of the priorities. Lower priorities may be assigned a timeslice period that is a fraction of the minimum response time. Also disclosed is a task division method of dividing a complex task into multiple tasks is; one of the tasks is an input gathering authority task having a higher priority, and it provides inputs to the other tasks which have a lower priority. A method that permits orderly shutdown or scaling back of task activities in case of resource emergencies is also described.