Scheduling with uncertain processing times in mixed-criticality systems

Many scheduling problems that can be identified inside safety-critical applications, such as in autonomous cars, tend to be mixed-critical. Such scheduling problems consider tasks to have different criticalities depending on the safety levels (activation of brakes vs. activation of air-conditioning). The biggest challenge in those scheduling problems arises from the uncertainty of processing times as it disturbs the predictability of the system and thus makes the certification of the system difficult. To overcome this uncertainty, we model the tasks to have multiple processing times concerning their criticality. This approach converts these scheduling problems into a deterministic scheduling with alternative processing times.