A fast algorithm for scheduling imprecise computations with timing constraints to minimize weighted error

Scheduling tasks with different weights in the imprecise computation model is rather difficult. Each task in the imprecise computation model is logically decomposed into a mandatory subtask and an optional subtask. The mandatory subtask must be completely executed before a deadline to produce an acceptable result; the optional subtask begins after the mandatory subtask to refine the result. The error in the results of a task is measured by the processing time of the unexecuted portion of the optional subtask. This paper proposes a fast algorithm for scheduling imprecise computation with timing constraints on uniprocessor systems. The proposed algorithm can obtain the optimal schedule for different weighted tasks with time complexity O(n log² n)