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On-line scheduling revisited. (English) Zbl 0966.90032

Summary: We present a new on-line algorithm, MR, for non-preemptive scheduling of jobs with known processing times on \(m\) identical machines which beats the best previous algorithm for \(m\geq 64\). For \(m\to\infty\) its competitive ratio approaches \(1+\sqrt {(1+\ln 2)/2} <1.9201\).

MSC:

90B35 Deterministic scheduling theory in operations research
Full Text: DOI

References:

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