New analysis framework yields single-machine deterministic competitive ratio of 2.316513 and randomized 2.152271, plus multi-machine bounds of 2.77629-(0.45977/m) deterministic and 2.51098-(0.3587/m) randomized.
Afterwards, the adversary sets all pj = 0 for all jobs j except job j′, which is any job picked by the adversary from the jobs assigned to time 2(m−1) + 1 or later
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The Power of Amortization on Minimizing Total Completion Time with Explorable Uncertainty
New analysis framework yields single-machine deterministic competitive ratio of 2.316513 and randomized 2.152271, plus multi-machine bounds of 2.77629-(0.45977/m) deterministic and 2.51098-(0.3587/m) randomized.