Minimizing Makespan with Bimodal Processing Time Distributions
研究在两台相同并行机上调度n个任务,每个任务加工时间可能为1或2个时间单位,目标是找到使期望完工时间最小的任务顺序。
We consider the problem of scheduling n tasks on two identical parallel processors. Task i has a processing time of one time unit, but might have to undergo processing for a second time unit with probability p i , i.e., the processing time distributions of the tasks have mass only on one and on two. We are interested in the sequence in which to process these tasks in order to minimize the expected completion time of all tasks. The optimal sequence turns out to be a sequence not well-known in the theory of scheduling.