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Short Note on Scheduling on a Single Machine with one Non-availability Period

By N. Megow and José Verschae


We consider scheduling on a single machine with one non-availability period to minimize the weighted sum of completion times. We provide a preemptive algorithm with an approximation ratio arbitrarily close to the Golden Ratio, (1+ √ 5)/2+ε, which improves on a previously best known 2-approximation. The non-preemptive version of the same algorithm yields a (2 + ε)-approximation

Year: 2008
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