Randomized Algorithms for that Ancient Scheduling Problem
نویسنده
چکیده
e a lower bound which converges to ~ as m goes to infinity. Prior to this work, no randomized algorithm for m > 2 was known. A randomized algorithm for m ~ 3 is presented. It achieves competitive ratios of 1.55665, 1.65888, 1.73376, 1.78295 and 1.81681, for m = 3 , . . . , 7 respectively. These competitive ratios are less than the best deterministic lower bound for m = 3,4, 5 and less than the competitive ratio of the best deterministic algorithm for m ~ 7.
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