15 Task Scheduling The task scheduling problem: Schedule unit-time tasks with deadlines and penalties s.t. the total penalty for missed deadlines is m
{"Image DocumentName": "Task Scheduling", "Image ImageDescription": "The task scheduling problem: Schedule unit-time tasks with deadlines and penalties s.t. the total penalty for missed deadlines is minimized. S = {1, 2, \u2026, n} of n unit-time tasks. Deadlines d1, d2, \u2026, dn for tasks, 1 \uf0a3 di \uf0a3 n. Penalties w1, w2, \u2026, wn : wi is incurred if task i misses deadline. Set A of tasks is independent if \uf024 a schedule with no late tasks. Nt(A): number of tasks in A with deadlines t or earlier, t = 1, 2, \u2026, n. Three equivalent statements for any set of tasks A. A is independent. Nt(A) \uf0a3 t, t = 1, 2, \u2026, n. If the task in A are scheduled in order of nondecreasing deadlines, then no task is late.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}