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Suppose now that the tasks are not all available at once. that is, each task cannot start until its release time r_ir i . suppose also that we allow preemption, so that a task can be suspended and restarted at a later time. for example, a task a_ia i with processing time p_i = 6p i =6 and release time r_i = 1r i =1 might start running at time 11 and be preempted at time 44. it might then resume at time 1010 but be preempted at time , and it might finally resume at time 1313 and complete at time 1515. task a_ia i has run for a total of 66 time units, but its running time has been divided into three pieces. in this scenario, a_ia i 's completion time is 1515. give an algorithm that schedules the tasks so as to minimize the average completion time in this new scenario. prove that your algorithm minimizes the average completion time, and state the running time of your algorithm.

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