Abstract
This paper investigates semi-online scheduling problem with known total size on two uniform machines for maximizing the minimum machine completion time. Lower bounds and optimal algorithms for every s≥1 are given, where s is the speed ratio of two machines. Both the overall competitive ratio and the competitive ratio for Open image in new window are strictly smaller than those of the optimal algorithms of the corresponding semi-online scheduling problem with known optimal value. It indicates that two related semi-online problems are different.
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